与六方氮化硼对齐的双层扭曲石墨烯中的准周期莫伊雷重构和电子特性调制

IF 8.1 1区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Physical review letters Pub Date : 2024-11-06 DOI:10.1103/physrevlett.133.196401
Si-yu Li, Zhiyue Xu, Yingbo Wang, Yingzhuo Han, Kenji Watanabe, Takashi Taniguchi, Aisheng Song, Tian-Bao Ma, Hong-Jun Gao, Yuhang Jiang, Jinhai Mao
{"title":"与六方氮化硼对齐的双层扭曲石墨烯中的准周期莫伊雷重构和电子特性调制","authors":"Si-yu Li, Zhiyue Xu, Yingbo Wang, Yingzhuo Han, Kenji Watanabe, Takashi Taniguchi, Aisheng Song, Tian-Bao Ma, Hong-Jun Gao, Yuhang Jiang, Jinhai Mao","doi":"10.1103/physrevlett.133.196401","DOIUrl":null,"url":null,"abstract":"Twisted van der Waals systems have emerged as intriguing arenas for exploring exotic strongly correlated and topological physics, with structural reconstruction and strain playing essential roles in determining their electronic properties. In twisted bilayer graphene aligned with hexagonal boron nitride (<mjx-container ctxtmenu_counter=\"63\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" overflow=\"linebreak\" role=\"tree\" sre-explorer- style=\"font-size: 100.7%;\" tabindex=\"0\"><mjx-math data-semantic-structure=\"(6 (5 0 1 2) 3 4)\"><mjx-mrow data-semantic-children=\"5,4\" data-semantic-content=\"3\" data-semantic- data-semantic-owns=\"5 3 4\" data-semantic-role=\"subtraction\" data-semantic-speech=\"upper T upper B upper G divided by h minus upper B upper N\" data-semantic-type=\"infixop\"><mjx-mrow data-semantic-added=\"true\" data-semantic-children=\"0,2\" data-semantic-content=\"1\" data-semantic- data-semantic-owns=\"0 1 2\" data-semantic-parent=\"6\" data-semantic-role=\"division\" data-semantic-type=\"infixop\"><mjx-mi data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"5\" data-semantic-role=\"unknown\" data-semantic-type=\"identifier\"><mjx-c noic=\"true\" style=\"padding-top: 0.669em;\">T</mjx-c><mjx-c noic=\"true\" style=\"padding-top: 0.669em;\">B</mjx-c><mjx-c style=\"padding-top: 0.669em;\">G</mjx-c></mjx-mi><mjx-mo data-semantic- data-semantic-operator=\"infixop,/\" data-semantic-parent=\"5\" data-semantic-role=\"division\" data-semantic-type=\"operator\" space=\"2\"><mjx-c>/</mjx-c></mjx-mo><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-parent=\"5\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\"><mjx-c>ℎ</mjx-c></mjx-mi></mjx-mrow><mjx-mtext data-semantic-annotation=\"general:text\" data-semantic- data-semantic-operator=\"infixop,−\" data-semantic-parent=\"6\" data-semantic-role=\"subtraction\" data-semantic-type=\"operator\" style='font-family: MJX-STX-ZERO, \"Helvetica Neue\", Helvetica, Roboto, Arial, sans-serif;'><mjx-utext style=\"font-size: 90.6%; padding: 0.828em 0px 0.221em; width: 7px;\" variant=\"-explicitFont\">−</mjx-utext></mjx-mtext><mjx-mi data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"6\" data-semantic-role=\"unknown\" data-semantic-type=\"identifier\" space=\"2\"><mjx-c noic=\"true\" style=\"padding-top: 0.657em;\">B</mjx-c><mjx-c style=\"padding-top: 0.657em;\">N</mjx-c></mjx-mi></mjx-mrow></mjx-math></mjx-container>), the interplay between the two sets of moiré patterns from graphene-graphene (<mjx-container ctxtmenu_counter=\"64\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" overflow=\"linebreak\" role=\"tree\" sre-explorer- style=\"font-size: 100.7%;\" tabindex=\"0\"><mjx-math data-semantic-structure=\"(3 0 1 2)\"><mjx-mrow data-semantic-children=\"0,2\" data-semantic-content=\"1\" data-semantic- data-semantic-owns=\"0 1 2\" data-semantic-role=\"subtraction\" data-semantic-speech=\"upper G minus upper G\" data-semantic-type=\"infixop\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-parent=\"3\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\"><mjx-c>𝐺</mjx-c></mjx-mi><mjx-mtext data-semantic-annotation=\"general:text\" data-semantic- data-semantic-operator=\"infixop,−\" data-semantic-parent=\"3\" data-semantic-role=\"subtraction\" data-semantic-type=\"operator\" style='font-family: MJX-STX-ZERO, \"Helvetica Neue\", Helvetica, Roboto, Arial, sans-serif;'><mjx-utext style=\"font-size: 90.6%; padding: 0.828em 0px 0.221em; width: 7px;\" variant=\"-explicitFont\">−</mjx-utext></mjx-mtext><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-parent=\"3\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\"><mjx-c>𝐺</mjx-c></mjx-mi></mjx-mrow></mjx-math></mjx-container>) and graphene–<mjx-container ctxtmenu_counter=\"65\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" overflow=\"linebreak\" role=\"tree\" sre-explorer- style=\"font-size: 100.7%;\" tabindex=\"0\"><mjx-math data-semantic-structure=\"(3 0 1 2)\"><mjx-mrow data-semantic-children=\"0,2\" data-semantic-content=\"1\" data-semantic- data-semantic-owns=\"0 1 2\" data-semantic-role=\"subtraction\" data-semantic-speech=\"h minus upper B upper N\" data-semantic-type=\"infixop\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-parent=\"3\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\"><mjx-c>ℎ</mjx-c></mjx-mi><mjx-mtext data-semantic-annotation=\"general:text\" data-semantic- data-semantic-operator=\"infixop,−\" data-semantic-parent=\"3\" data-semantic-role=\"subtraction\" data-semantic-type=\"operator\" style='font-family: MJX-STX-ZERO, \"Helvetica Neue\", Helvetica, Roboto, Arial, sans-serif;'><mjx-utext style=\"font-size: 90.6%; padding: 0.828em 0px 0.221em; width: 7px;\" variant=\"-explicitFont\">−</mjx-utext></mjx-mtext><mjx-mi data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"3\" data-semantic-role=\"unknown\" data-semantic-type=\"identifier\" space=\"2\"><mjx-c noic=\"true\" style=\"padding-top: 0.657em;\">B</mjx-c><mjx-c style=\"padding-top: 0.657em;\">N</mjx-c></mjx-mi></mjx-mrow></mjx-math></mjx-container> (<mjx-container ctxtmenu_counter=\"66\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" overflow=\"linebreak\" role=\"tree\" sre-explorer- style=\"font-size: 100.7%;\" tabindex=\"0\"><mjx-math data-semantic-structure=\"(5 0 1 2 3 4)\"><mjx-mrow data-semantic-children=\"0,2,4\" data-semantic-content=\"1,3\" data-semantic- data-semantic-owns=\"0 1 2 3 4\" data-semantic-role=\"subtraction\" data-semantic-speech=\"upper G minus h minus upper B upper N\" data-semantic-type=\"infixop\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-parent=\"5\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\"><mjx-c>𝐺</mjx-c></mjx-mi><mjx-mo data-semantic- data-semantic-operator=\"infixop,−\" data-semantic-parent=\"5\" data-semantic-role=\"subtraction\" data-semantic-type=\"operator\" space=\"3\"><mjx-c>−</mjx-c></mjx-mo><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-parent=\"5\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\" space=\"3\"><mjx-c>ℎ</mjx-c></mjx-mi><mjx-mtext data-semantic-annotation=\"general:text\" data-semantic- data-semantic-operator=\"infixop,−\" data-semantic-parent=\"5\" data-semantic-role=\"subtraction\" data-semantic-type=\"operator\" style='font-family: MJX-STX-ZERO, \"Helvetica Neue\", Helvetica, Roboto, Arial, sans-serif;'><mjx-utext style=\"font-size: 90.6%; padding: 0.828em 0px 0.221em; width: 7px;\" variant=\"-explicitFont\">−</mjx-utext></mjx-mtext><mjx-mi data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"5\" data-semantic-role=\"unknown\" data-semantic-type=\"identifier\" space=\"2\"><mjx-c noic=\"true\" style=\"padding-top: 0.657em;\">B</mjx-c><mjx-c style=\"padding-top: 0.657em;\">N</mjx-c></mjx-mi></mjx-mrow></mjx-math></mjx-container>) interfaces can trigger notable moiré pattern reconstruction (MPR). Here, we present the quasiperiodic MPR in the <mjx-container ctxtmenu_counter=\"67\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" overflow=\"linebreak\" role=\"tree\" sre-explorer- style=\"font-size: 100.7%;\" tabindex=\"0\"><mjx-math data-semantic-structure=\"(6 (5 0 1 2) 3 4)\"><mjx-mrow data-semantic-children=\"5,4\" data-semantic-content=\"3\" data-semantic- data-semantic-owns=\"5 3 4\" data-semantic-role=\"subtraction\" data-semantic-speech=\"upper T upper B upper G divided by h minus upper B upper N\" data-semantic-type=\"infixop\"><mjx-mrow data-semantic-added=\"true\" data-semantic-children=\"0,2\" data-semantic-content=\"1\" data-semantic- data-semantic-owns=\"0 1 2\" data-semantic-parent=\"6\" data-semantic-role=\"division\" data-semantic-type=\"infixop\"><mjx-mi data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"5\" data-semantic-role=\"unknown\" data-semantic-type=\"identifier\"><mjx-c noic=\"true\" style=\"padding-top: 0.669em;\">T</mjx-c><mjx-c noic=\"true\" style=\"padding-top: 0.669em;\">B</mjx-c><mjx-c style=\"padding-top: 0.669em;\">G</mjx-c></mjx-mi><mjx-mo data-semantic- data-semantic-operator=\"infixop,/\" data-semantic-parent=\"5\" data-semantic-role=\"division\" data-semantic-type=\"operator\" space=\"2\"><mjx-c>/</mjx-c></mjx-mo><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-parent=\"5\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\"><mjx-c>ℎ</mjx-c></mjx-mi></mjx-mrow><mjx-mtext data-semantic-annotation=\"general:text\" data-semantic- data-semantic-operator=\"infixop,−\" data-semantic-parent=\"6\" data-semantic-role=\"subtraction\" data-semantic-type=\"operator\" style='font-family: MJX-STX-ZERO, \"Helvetica Neue\", Helvetica, Roboto, Arial, sans-serif;'><mjx-utext style=\"font-size: 90.6%; padding: 0.828em 0px 0.221em; width: 7px;\" variant=\"-explicitFont\">−</mjx-utext></mjx-mtext><mjx-mi data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"6\" data-semantic-role=\"unknown\" data-semantic-type=\"identifier\" space=\"2\"><mjx-c noic=\"true\" style=\"padding-top: 0.657em;\">B</mjx-c><mjx-c style=\"padding-top: 0.657em;\">N</mjx-c></mjx-mi></mjx-mrow></mjx-math></mjx-container> with two similar moiré wavelengths, wherein the MPR results from the incommensurate mismatch between the wavelengths of the <mjx-container ctxtmenu_counter=\"68\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" overflow=\"linebreak\" role=\"tree\" sre-explorer- style=\"font-size: 100.7%;\" tabindex=\"0\"><mjx-math data-semantic-structure=\"(3 0 1 2)\"><mjx-mrow data-semantic-children=\"0,2\" data-semantic-content=\"1\" data-semantic- data-semantic-owns=\"0 1 2\" data-semantic-role=\"subtraction\" data-semantic-speech=\"upper G minus upper G\" data-semantic-type=\"infixop\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-parent=\"3\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\"><mjx-c>𝐺</mjx-c></mjx-mi><mjx-mtext data-semantic-annotation=\"general:text\" data-semantic- data-semantic-operator=\"infixop,−\" data-semantic-parent=\"3\" data-semantic-role=\"subtraction\" data-semantic-type=\"operator\" style='font-family: MJX-STX-ZERO, \"Helvetica Neue\", Helvetica, Roboto, Arial, sans-serif;'><mjx-utext style=\"font-size: 90.6%; padding: 0.828em 0px 0.221em; width: 7px;\" variant=\"-explicitFont\">−</mjx-utext></mjx-mtext><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-parent=\"3\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\"><mjx-c>𝐺</mjx-c></mjx-mi></mjx-mrow></mjx-math></mjx-container> and <mjx-container ctxtmenu_counter=\"69\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" overflow=\"linebreak\" role=\"tree\" sre-explorer- style=\"font-size: 100.7%;\" tabindex=\"0\"><mjx-math data-semantic-structure=\"(5 0 1 2 3 4)\"><mjx-mrow data-semantic-children=\"0,2,4\" data-semantic-content=\"1,3\" data-semantic- data-semantic-owns=\"0 1 2 3 4\" data-semantic-role=\"subtraction\" data-semantic-speech=\"upper G minus h minus upper B upper N\" data-semantic-type=\"infixop\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-parent=\"5\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\"><mjx-c>𝐺</mjx-c></mjx-mi><mjx-mo data-semantic- data-semantic-operator=\"infixop,−\" data-semantic-parent=\"5\" data-semantic-role=\"subtraction\" data-semantic-type=\"operator\" space=\"3\"><mjx-c>−</mjx-c></mjx-mo><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-parent=\"5\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\" space=\"3\"><mjx-c>ℎ</mjx-c></mjx-mi><mjx-mtext data-semantic-annotation=\"general:text\" data-semantic- data-semantic-operator=\"infixop,−\" data-semantic-parent=\"5\" data-semantic-role=\"subtraction\" data-semantic-type=\"operator\" style='font-family: MJX-STX-ZERO, \"Helvetica Neue\", Helvetica, Roboto, Arial, sans-serif;'><mjx-utext style=\"font-size: 90.6%; padding: 0.828em 0px 0.221em; width: 7px;\" variant=\"-explicitFont\">−</mjx-utext></mjx-mtext><mjx-mi data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"5\" data-semantic-role=\"unknown\" data-semantic-type=\"identifier\" space=\"2\"><mjx-c noic=\"true\" style=\"padding-top: 0.657em;\">B</mjx-c><mjx-c style=\"padding-top: 0.657em;\">N</mjx-c></mjx-mi></mjx-mrow></mjx-math></mjx-container> moiré patterns. The short-range, nearly ordered moiré super-superstructures deviate from moiré quasicrystal and are accompanied by inhomogeneous strain, thereby inducing spatially variable energy separations between the Van Hove singularities (VHs) in the band structures of the TBG near the magic angle. By tuning the carrier densities in our sample, correlated gaps at specific <mjx-container ctxtmenu_counter=\"70\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" overflow=\"linebreak\" role=\"tree\" sre-explorer- style=\"font-size: 100.7%;\" tabindex=\"0\"><mjx-math data-semantic-structure=\"(3 0 2 1)\"><mjx-mrow data-semantic-annotation=\"clearspeak:simple;clearspeak:unit\" data-semantic-children=\"0,1\" data-semantic-content=\"2\" data-semantic- data-semantic-owns=\"0 2 1\" data-semantic-role=\"implicit\" data-semantic-speech=\"upper A upper A\" data-semantic-type=\"infixop\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-parent=\"3\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\"><mjx-c>𝐴</mjx-c></mjx-mi><mjx-mo data-semantic-added=\"true\" data-semantic- data-semantic-operator=\"infixop,⁢\" data-semantic-parent=\"3\" data-semantic-role=\"multiplication\" data-semantic-type=\"operator\"><mjx-c>⁢</mjx-c></mjx-mo><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-parent=\"3\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\"><mjx-c>𝐴</mjx-c></mjx-mi></mjx-mrow></mjx-math></mjx-container> sites are observed, uncovering the quantum-dot-like behavior and incoherent characteristics of the <mjx-container ctxtmenu_counter=\"71\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" overflow=\"linebreak\" role=\"tree\" sre-explorer- style=\"font-size: 100.7%;\" tabindex=\"0\"><mjx-math data-semantic-structure=\"(3 0 2 1)\"><mjx-mrow data-semantic-annotation=\"clearspeak:simple;clearspeak:unit\" data-semantic-children=\"0,1\" data-semantic-content=\"2\" data-semantic- data-semantic-owns=\"0 2 1\" data-semantic-role=\"implicit\" data-semantic-speech=\"upper A upper A\" data-semantic-type=\"infixop\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-parent=\"3\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\"><mjx-c>𝐴</mjx-c></mjx-mi><mjx-mo data-semantic-added=\"true\" data-semantic- data-semantic-operator=\"infixop,⁢\" data-semantic-parent=\"3\" data-semantic-role=\"multiplication\" data-semantic-type=\"operator\"><mjx-c>⁢</mjx-c></mjx-mo><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-parent=\"3\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\"><mjx-c>𝐴</mjx-c></mjx-mi></mjx-mrow></mjx-math></mjx-container> sites in the TBG. Our findings would give new hints on the microscopic mechanisms underlying the abundant novel quantum phases in the <mjx-container ctxtmenu_counter=\"72\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" overflow=\"linebreak\" role=\"tree\" sre-explorer- style=\"font-size: 100.7%;\" tabindex=\"0\"><mjx-math data-semantic-structure=\"(6 (5 0 1 2) 3 4)\"><mjx-mrow data-semantic-children=\"5,4\" data-semantic-content=\"3\" data-semantic- data-semantic-owns=\"5 3 4\" data-semantic-role=\"subtraction\" data-semantic-speech=\"upper T upper B upper G divided by h minus upper B upper N\" data-semantic-type=\"infixop\"><mjx-mrow data-semantic-added=\"true\" data-semantic-children=\"0,2\" data-semantic-content=\"1\" data-semantic- data-semantic-owns=\"0 1 2\" data-semantic-parent=\"6\" data-semantic-role=\"division\" data-semantic-type=\"infixop\"><mjx-mi data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"5\" data-semantic-role=\"unknown\" data-semantic-type=\"identifier\"><mjx-c noic=\"true\" style=\"padding-top: 0.669em;\">T</mjx-c><mjx-c noic=\"true\" style=\"padding-top: 0.669em;\">B</mjx-c><mjx-c style=\"padding-top: 0.669em;\">G</mjx-c></mjx-mi><mjx-mo data-semantic- data-semantic-operator=\"infixop,/\" data-semantic-parent=\"5\" data-semantic-role=\"division\" data-semantic-type=\"operator\" space=\"2\"><mjx-c>/</mjx-c></mjx-mo><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-parent=\"5\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\"><mjx-c>ℎ</mjx-c></mjx-mi></mjx-mrow><mjx-mtext data-semantic-annotation=\"general:text\" data-semantic- data-semantic-operator=\"infixop,−\" data-semantic-parent=\"6\" data-semantic-role=\"subtraction\" data-semantic-type=\"operator\" style='font-family: MJX-STX-ZERO, \"Helvetica Neue\", Helvetica, Roboto, Arial, sans-serif;'><mjx-utext style=\"font-size: 90.6%; padding: 0.828em 0px 0.221em; width: 7px;\" variant=\"-explicitFont\">−</mjx-utext></mjx-mtext><mjx-mi data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"6\" data-semantic-role=\"unknown\" data-semantic-type=\"identifier\" space=\"2\"><mjx-c noic=\"true\" style=\"padding-top: 0.657em;\">B</mjx-c><mjx-c style=\"padding-top: 0.657em;\">N</mjx-c></mjx-mi></mjx-mrow></mjx-math></mjx-container>.","PeriodicalId":20069,"journal":{"name":"Physical review letters","volume":null,"pages":null},"PeriodicalIF":8.1000,"publicationDate":"2024-11-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Quasiperiodic Moiré Reconstruction and Modulation of Electronic Properties in Twisted Bilayer Graphene Aligned with Hexagonal Boron Nitride\",\"authors\":\"Si-yu Li, Zhiyue Xu, Yingbo Wang, Yingzhuo Han, Kenji Watanabe, Takashi Taniguchi, Aisheng Song, Tian-Bao Ma, Hong-Jun Gao, Yuhang Jiang, Jinhai Mao\",\"doi\":\"10.1103/physrevlett.133.196401\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Twisted van der Waals systems have emerged as intriguing arenas for exploring exotic strongly correlated and topological physics, with structural reconstruction and strain playing essential roles in determining their electronic properties. In twisted bilayer graphene aligned with hexagonal boron nitride (<mjx-container ctxtmenu_counter=\\\"63\\\" ctxtmenu_oldtabindex=\\\"1\\\" jax=\\\"CHTML\\\" overflow=\\\"linebreak\\\" role=\\\"tree\\\" sre-explorer- style=\\\"font-size: 100.7%;\\\" tabindex=\\\"0\\\"><mjx-math data-semantic-structure=\\\"(6 (5 0 1 2) 3 4)\\\"><mjx-mrow data-semantic-children=\\\"5,4\\\" data-semantic-content=\\\"3\\\" data-semantic- data-semantic-owns=\\\"5 3 4\\\" data-semantic-role=\\\"subtraction\\\" data-semantic-speech=\\\"upper T upper B upper G divided by h minus upper B upper N\\\" data-semantic-type=\\\"infixop\\\"><mjx-mrow data-semantic-added=\\\"true\\\" data-semantic-children=\\\"0,2\\\" data-semantic-content=\\\"1\\\" data-semantic- data-semantic-owns=\\\"0 1 2\\\" data-semantic-parent=\\\"6\\\" data-semantic-role=\\\"division\\\" data-semantic-type=\\\"infixop\\\"><mjx-mi data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"unknown\\\" data-semantic-type=\\\"identifier\\\"><mjx-c noic=\\\"true\\\" style=\\\"padding-top: 0.669em;\\\">T</mjx-c><mjx-c noic=\\\"true\\\" style=\\\"padding-top: 0.669em;\\\">B</mjx-c><mjx-c style=\\\"padding-top: 0.669em;\\\">G</mjx-c></mjx-mi><mjx-mo data-semantic- data-semantic-operator=\\\"infixop,/\\\" data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"division\\\" data-semantic-type=\\\"operator\\\" space=\\\"2\\\"><mjx-c>/</mjx-c></mjx-mo><mjx-mi data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"italic\\\" data-semantic- data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"identifier\\\"><mjx-c>ℎ</mjx-c></mjx-mi></mjx-mrow><mjx-mtext data-semantic-annotation=\\\"general:text\\\" data-semantic- data-semantic-operator=\\\"infixop,−\\\" data-semantic-parent=\\\"6\\\" data-semantic-role=\\\"subtraction\\\" data-semantic-type=\\\"operator\\\" style='font-family: MJX-STX-ZERO, \\\"Helvetica Neue\\\", Helvetica, Roboto, Arial, sans-serif;'><mjx-utext style=\\\"font-size: 90.6%; padding: 0.828em 0px 0.221em; width: 7px;\\\" variant=\\\"-explicitFont\\\">−</mjx-utext></mjx-mtext><mjx-mi data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"6\\\" data-semantic-role=\\\"unknown\\\" data-semantic-type=\\\"identifier\\\" space=\\\"2\\\"><mjx-c noic=\\\"true\\\" style=\\\"padding-top: 0.657em;\\\">B</mjx-c><mjx-c style=\\\"padding-top: 0.657em;\\\">N</mjx-c></mjx-mi></mjx-mrow></mjx-math></mjx-container>), the interplay between the two sets of moiré patterns from graphene-graphene (<mjx-container ctxtmenu_counter=\\\"64\\\" ctxtmenu_oldtabindex=\\\"1\\\" jax=\\\"CHTML\\\" overflow=\\\"linebreak\\\" role=\\\"tree\\\" sre-explorer- style=\\\"font-size: 100.7%;\\\" tabindex=\\\"0\\\"><mjx-math data-semantic-structure=\\\"(3 0 1 2)\\\"><mjx-mrow data-semantic-children=\\\"0,2\\\" data-semantic-content=\\\"1\\\" data-semantic- data-semantic-owns=\\\"0 1 2\\\" data-semantic-role=\\\"subtraction\\\" data-semantic-speech=\\\"upper G minus upper G\\\" data-semantic-type=\\\"infixop\\\"><mjx-mi data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"italic\\\" data-semantic- data-semantic-parent=\\\"3\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"identifier\\\"><mjx-c>𝐺</mjx-c></mjx-mi><mjx-mtext data-semantic-annotation=\\\"general:text\\\" data-semantic- data-semantic-operator=\\\"infixop,−\\\" data-semantic-parent=\\\"3\\\" data-semantic-role=\\\"subtraction\\\" data-semantic-type=\\\"operator\\\" style='font-family: MJX-STX-ZERO, \\\"Helvetica Neue\\\", Helvetica, Roboto, Arial, sans-serif;'><mjx-utext style=\\\"font-size: 90.6%; padding: 0.828em 0px 0.221em; width: 7px;\\\" variant=\\\"-explicitFont\\\">−</mjx-utext></mjx-mtext><mjx-mi data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"italic\\\" data-semantic- data-semantic-parent=\\\"3\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"identifier\\\"><mjx-c>𝐺</mjx-c></mjx-mi></mjx-mrow></mjx-math></mjx-container>) and graphene–<mjx-container ctxtmenu_counter=\\\"65\\\" ctxtmenu_oldtabindex=\\\"1\\\" jax=\\\"CHTML\\\" overflow=\\\"linebreak\\\" role=\\\"tree\\\" sre-explorer- style=\\\"font-size: 100.7%;\\\" tabindex=\\\"0\\\"><mjx-math data-semantic-structure=\\\"(3 0 1 2)\\\"><mjx-mrow data-semantic-children=\\\"0,2\\\" data-semantic-content=\\\"1\\\" data-semantic- data-semantic-owns=\\\"0 1 2\\\" data-semantic-role=\\\"subtraction\\\" data-semantic-speech=\\\"h minus upper B upper N\\\" data-semantic-type=\\\"infixop\\\"><mjx-mi data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"italic\\\" data-semantic- data-semantic-parent=\\\"3\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"identifier\\\"><mjx-c>ℎ</mjx-c></mjx-mi><mjx-mtext data-semantic-annotation=\\\"general:text\\\" data-semantic- data-semantic-operator=\\\"infixop,−\\\" data-semantic-parent=\\\"3\\\" data-semantic-role=\\\"subtraction\\\" data-semantic-type=\\\"operator\\\" style='font-family: MJX-STX-ZERO, \\\"Helvetica Neue\\\", Helvetica, Roboto, Arial, sans-serif;'><mjx-utext style=\\\"font-size: 90.6%; padding: 0.828em 0px 0.221em; width: 7px;\\\" variant=\\\"-explicitFont\\\">−</mjx-utext></mjx-mtext><mjx-mi data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"3\\\" data-semantic-role=\\\"unknown\\\" data-semantic-type=\\\"identifier\\\" space=\\\"2\\\"><mjx-c noic=\\\"true\\\" style=\\\"padding-top: 0.657em;\\\">B</mjx-c><mjx-c style=\\\"padding-top: 0.657em;\\\">N</mjx-c></mjx-mi></mjx-mrow></mjx-math></mjx-container> (<mjx-container ctxtmenu_counter=\\\"66\\\" ctxtmenu_oldtabindex=\\\"1\\\" jax=\\\"CHTML\\\" overflow=\\\"linebreak\\\" role=\\\"tree\\\" sre-explorer- style=\\\"font-size: 100.7%;\\\" tabindex=\\\"0\\\"><mjx-math data-semantic-structure=\\\"(5 0 1 2 3 4)\\\"><mjx-mrow data-semantic-children=\\\"0,2,4\\\" data-semantic-content=\\\"1,3\\\" data-semantic- data-semantic-owns=\\\"0 1 2 3 4\\\" data-semantic-role=\\\"subtraction\\\" data-semantic-speech=\\\"upper G minus h minus upper B upper N\\\" data-semantic-type=\\\"infixop\\\"><mjx-mi data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"italic\\\" data-semantic- data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"identifier\\\"><mjx-c>𝐺</mjx-c></mjx-mi><mjx-mo data-semantic- data-semantic-operator=\\\"infixop,−\\\" data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"subtraction\\\" data-semantic-type=\\\"operator\\\" space=\\\"3\\\"><mjx-c>−</mjx-c></mjx-mo><mjx-mi data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"italic\\\" data-semantic- data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"identifier\\\" space=\\\"3\\\"><mjx-c>ℎ</mjx-c></mjx-mi><mjx-mtext data-semantic-annotation=\\\"general:text\\\" data-semantic- data-semantic-operator=\\\"infixop,−\\\" data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"subtraction\\\" data-semantic-type=\\\"operator\\\" style='font-family: MJX-STX-ZERO, \\\"Helvetica Neue\\\", Helvetica, Roboto, Arial, sans-serif;'><mjx-utext style=\\\"font-size: 90.6%; padding: 0.828em 0px 0.221em; width: 7px;\\\" variant=\\\"-explicitFont\\\">−</mjx-utext></mjx-mtext><mjx-mi data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"unknown\\\" data-semantic-type=\\\"identifier\\\" space=\\\"2\\\"><mjx-c noic=\\\"true\\\" style=\\\"padding-top: 0.657em;\\\">B</mjx-c><mjx-c style=\\\"padding-top: 0.657em;\\\">N</mjx-c></mjx-mi></mjx-mrow></mjx-math></mjx-container>) interfaces can trigger notable moiré pattern reconstruction (MPR). Here, we present the quasiperiodic MPR in the <mjx-container ctxtmenu_counter=\\\"67\\\" ctxtmenu_oldtabindex=\\\"1\\\" jax=\\\"CHTML\\\" overflow=\\\"linebreak\\\" role=\\\"tree\\\" sre-explorer- style=\\\"font-size: 100.7%;\\\" tabindex=\\\"0\\\"><mjx-math data-semantic-structure=\\\"(6 (5 0 1 2) 3 4)\\\"><mjx-mrow data-semantic-children=\\\"5,4\\\" data-semantic-content=\\\"3\\\" data-semantic- data-semantic-owns=\\\"5 3 4\\\" data-semantic-role=\\\"subtraction\\\" data-semantic-speech=\\\"upper T upper B upper G divided by h minus upper B upper N\\\" data-semantic-type=\\\"infixop\\\"><mjx-mrow data-semantic-added=\\\"true\\\" data-semantic-children=\\\"0,2\\\" data-semantic-content=\\\"1\\\" data-semantic- data-semantic-owns=\\\"0 1 2\\\" data-semantic-parent=\\\"6\\\" data-semantic-role=\\\"division\\\" data-semantic-type=\\\"infixop\\\"><mjx-mi data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"unknown\\\" data-semantic-type=\\\"identifier\\\"><mjx-c noic=\\\"true\\\" style=\\\"padding-top: 0.669em;\\\">T</mjx-c><mjx-c noic=\\\"true\\\" style=\\\"padding-top: 0.669em;\\\">B</mjx-c><mjx-c style=\\\"padding-top: 0.669em;\\\">G</mjx-c></mjx-mi><mjx-mo data-semantic- data-semantic-operator=\\\"infixop,/\\\" data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"division\\\" data-semantic-type=\\\"operator\\\" space=\\\"2\\\"><mjx-c>/</mjx-c></mjx-mo><mjx-mi data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"italic\\\" data-semantic- data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"identifier\\\"><mjx-c>ℎ</mjx-c></mjx-mi></mjx-mrow><mjx-mtext data-semantic-annotation=\\\"general:text\\\" data-semantic- data-semantic-operator=\\\"infixop,−\\\" data-semantic-parent=\\\"6\\\" data-semantic-role=\\\"subtraction\\\" data-semantic-type=\\\"operator\\\" style='font-family: MJX-STX-ZERO, \\\"Helvetica Neue\\\", Helvetica, Roboto, Arial, sans-serif;'><mjx-utext style=\\\"font-size: 90.6%; padding: 0.828em 0px 0.221em; width: 7px;\\\" variant=\\\"-explicitFont\\\">−</mjx-utext></mjx-mtext><mjx-mi data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"6\\\" data-semantic-role=\\\"unknown\\\" data-semantic-type=\\\"identifier\\\" space=\\\"2\\\"><mjx-c noic=\\\"true\\\" style=\\\"padding-top: 0.657em;\\\">B</mjx-c><mjx-c style=\\\"padding-top: 0.657em;\\\">N</mjx-c></mjx-mi></mjx-mrow></mjx-math></mjx-container> with two similar moiré wavelengths, wherein the MPR results from the incommensurate mismatch between the wavelengths of the <mjx-container ctxtmenu_counter=\\\"68\\\" ctxtmenu_oldtabindex=\\\"1\\\" jax=\\\"CHTML\\\" overflow=\\\"linebreak\\\" role=\\\"tree\\\" sre-explorer- style=\\\"font-size: 100.7%;\\\" tabindex=\\\"0\\\"><mjx-math data-semantic-structure=\\\"(3 0 1 2)\\\"><mjx-mrow data-semantic-children=\\\"0,2\\\" data-semantic-content=\\\"1\\\" data-semantic- data-semantic-owns=\\\"0 1 2\\\" data-semantic-role=\\\"subtraction\\\" data-semantic-speech=\\\"upper G minus upper G\\\" data-semantic-type=\\\"infixop\\\"><mjx-mi data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"italic\\\" data-semantic- data-semantic-parent=\\\"3\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"identifier\\\"><mjx-c>𝐺</mjx-c></mjx-mi><mjx-mtext data-semantic-annotation=\\\"general:text\\\" data-semantic- data-semantic-operator=\\\"infixop,−\\\" data-semantic-parent=\\\"3\\\" data-semantic-role=\\\"subtraction\\\" data-semantic-type=\\\"operator\\\" style='font-family: MJX-STX-ZERO, \\\"Helvetica Neue\\\", Helvetica, Roboto, Arial, sans-serif;'><mjx-utext style=\\\"font-size: 90.6%; padding: 0.828em 0px 0.221em; width: 7px;\\\" variant=\\\"-explicitFont\\\">−</mjx-utext></mjx-mtext><mjx-mi data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"italic\\\" data-semantic- data-semantic-parent=\\\"3\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"identifier\\\"><mjx-c>𝐺</mjx-c></mjx-mi></mjx-mrow></mjx-math></mjx-container> and <mjx-container ctxtmenu_counter=\\\"69\\\" ctxtmenu_oldtabindex=\\\"1\\\" jax=\\\"CHTML\\\" overflow=\\\"linebreak\\\" role=\\\"tree\\\" sre-explorer- style=\\\"font-size: 100.7%;\\\" tabindex=\\\"0\\\"><mjx-math data-semantic-structure=\\\"(5 0 1 2 3 4)\\\"><mjx-mrow data-semantic-children=\\\"0,2,4\\\" data-semantic-content=\\\"1,3\\\" data-semantic- data-semantic-owns=\\\"0 1 2 3 4\\\" data-semantic-role=\\\"subtraction\\\" data-semantic-speech=\\\"upper G minus h minus upper B upper N\\\" data-semantic-type=\\\"infixop\\\"><mjx-mi data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"italic\\\" data-semantic- data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"identifier\\\"><mjx-c>𝐺</mjx-c></mjx-mi><mjx-mo data-semantic- data-semantic-operator=\\\"infixop,−\\\" data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"subtraction\\\" data-semantic-type=\\\"operator\\\" space=\\\"3\\\"><mjx-c>−</mjx-c></mjx-mo><mjx-mi data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"italic\\\" data-semantic- data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"identifier\\\" space=\\\"3\\\"><mjx-c>ℎ</mjx-c></mjx-mi><mjx-mtext data-semantic-annotation=\\\"general:text\\\" data-semantic- data-semantic-operator=\\\"infixop,−\\\" data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"subtraction\\\" data-semantic-type=\\\"operator\\\" style='font-family: MJX-STX-ZERO, \\\"Helvetica Neue\\\", Helvetica, Roboto, Arial, sans-serif;'><mjx-utext style=\\\"font-size: 90.6%; padding: 0.828em 0px 0.221em; width: 7px;\\\" variant=\\\"-explicitFont\\\">−</mjx-utext></mjx-mtext><mjx-mi data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"unknown\\\" data-semantic-type=\\\"identifier\\\" space=\\\"2\\\"><mjx-c noic=\\\"true\\\" style=\\\"padding-top: 0.657em;\\\">B</mjx-c><mjx-c style=\\\"padding-top: 0.657em;\\\">N</mjx-c></mjx-mi></mjx-mrow></mjx-math></mjx-container> moiré patterns. The short-range, nearly ordered moiré super-superstructures deviate from moiré quasicrystal and are accompanied by inhomogeneous strain, thereby inducing spatially variable energy separations between the Van Hove singularities (VHs) in the band structures of the TBG near the magic angle. By tuning the carrier densities in our sample, correlated gaps at specific <mjx-container ctxtmenu_counter=\\\"70\\\" ctxtmenu_oldtabindex=\\\"1\\\" jax=\\\"CHTML\\\" overflow=\\\"linebreak\\\" role=\\\"tree\\\" sre-explorer- style=\\\"font-size: 100.7%;\\\" tabindex=\\\"0\\\"><mjx-math data-semantic-structure=\\\"(3 0 2 1)\\\"><mjx-mrow data-semantic-annotation=\\\"clearspeak:simple;clearspeak:unit\\\" data-semantic-children=\\\"0,1\\\" data-semantic-content=\\\"2\\\" data-semantic- data-semantic-owns=\\\"0 2 1\\\" data-semantic-role=\\\"implicit\\\" data-semantic-speech=\\\"upper A upper A\\\" data-semantic-type=\\\"infixop\\\"><mjx-mi data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"italic\\\" data-semantic- data-semantic-parent=\\\"3\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"identifier\\\"><mjx-c>𝐴</mjx-c></mjx-mi><mjx-mo data-semantic-added=\\\"true\\\" data-semantic- data-semantic-operator=\\\"infixop,⁢\\\" data-semantic-parent=\\\"3\\\" data-semantic-role=\\\"multiplication\\\" data-semantic-type=\\\"operator\\\"><mjx-c>⁢</mjx-c></mjx-mo><mjx-mi data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"italic\\\" data-semantic- data-semantic-parent=\\\"3\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"identifier\\\"><mjx-c>𝐴</mjx-c></mjx-mi></mjx-mrow></mjx-math></mjx-container> sites are observed, uncovering the quantum-dot-like behavior and incoherent characteristics of the <mjx-container ctxtmenu_counter=\\\"71\\\" ctxtmenu_oldtabindex=\\\"1\\\" jax=\\\"CHTML\\\" overflow=\\\"linebreak\\\" role=\\\"tree\\\" sre-explorer- style=\\\"font-size: 100.7%;\\\" tabindex=\\\"0\\\"><mjx-math data-semantic-structure=\\\"(3 0 2 1)\\\"><mjx-mrow data-semantic-annotation=\\\"clearspeak:simple;clearspeak:unit\\\" data-semantic-children=\\\"0,1\\\" data-semantic-content=\\\"2\\\" data-semantic- data-semantic-owns=\\\"0 2 1\\\" data-semantic-role=\\\"implicit\\\" data-semantic-speech=\\\"upper A upper A\\\" data-semantic-type=\\\"infixop\\\"><mjx-mi data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"italic\\\" data-semantic- data-semantic-parent=\\\"3\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"identifier\\\"><mjx-c>𝐴</mjx-c></mjx-mi><mjx-mo data-semantic-added=\\\"true\\\" data-semantic- data-semantic-operator=\\\"infixop,⁢\\\" data-semantic-parent=\\\"3\\\" data-semantic-role=\\\"multiplication\\\" data-semantic-type=\\\"operator\\\"><mjx-c>⁢</mjx-c></mjx-mo><mjx-mi data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"italic\\\" data-semantic- data-semantic-parent=\\\"3\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"identifier\\\"><mjx-c>𝐴</mjx-c></mjx-mi></mjx-mrow></mjx-math></mjx-container> sites in the TBG. 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引用次数: 0

摘要

扭曲范德瓦耳斯系统已成为探索奇异强相关和拓扑物理学的有趣领域,其结构重构和应变在决定其电子特性方面发挥着至关重要的作用。在与六方氮化硼(TBG/稹-BN)对齐的扭曲双层石墨烯中,来自石墨烯-石墨烯(ᵃ-ᵃ)和石墨烯-稹-氮化硼(ᵃ-稹-BN)界面的两组摩尔纹之间的相互作用会引发显著的摩尔纹重构(MPR)。在这里,我们展示了具有两个相似摩尔纹波长的 TBG/ 并-BN 中的准周期性摩尔纹重构,其中摩尔纹重构是由于𝐺-𝐺 和𝐺- 并-BN 的摩尔纹波长之间不相称的不匹配造成的。短程、近乎有序的摩尔纹超超微结构偏离了摩尔纹准晶,并伴有不均匀应变,从而在魔幻角附近的 TBG 带状结构中的范霍夫奇点(VHs)之间产生了空间可变的能量分离。通过调节样品中的载流子密度,我们观察到了特定𝐴𝐴位点上的相关间隙,揭示了 TBG 中𝐴𝐴位点的量子点状行为和非相干特性。我们的发现将为 TBG/ 搭配-BN 中丰富的新型量子相的微观机制提供新的线索。
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Quasiperiodic Moiré Reconstruction and Modulation of Electronic Properties in Twisted Bilayer Graphene Aligned with Hexagonal Boron Nitride
Twisted van der Waals systems have emerged as intriguing arenas for exploring exotic strongly correlated and topological physics, with structural reconstruction and strain playing essential roles in determining their electronic properties. In twisted bilayer graphene aligned with hexagonal boron nitride (TBG/BN), the interplay between the two sets of moiré patterns from graphene-graphene (𝐺𝐺) and graphene–BN (𝐺BN) interfaces can trigger notable moiré pattern reconstruction (MPR). Here, we present the quasiperiodic MPR in the TBG/BN with two similar moiré wavelengths, wherein the MPR results from the incommensurate mismatch between the wavelengths of the 𝐺𝐺 and 𝐺BN moiré patterns. The short-range, nearly ordered moiré super-superstructures deviate from moiré quasicrystal and are accompanied by inhomogeneous strain, thereby inducing spatially variable energy separations between the Van Hove singularities (VHs) in the band structures of the TBG near the magic angle. By tuning the carrier densities in our sample, correlated gaps at specific 𝐴𝐴 sites are observed, uncovering the quantum-dot-like behavior and incoherent characteristics of the 𝐴𝐴 sites in the TBG. Our findings would give new hints on the microscopic mechanisms underlying the abundant novel quantum phases in the TBG/BN.
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来源期刊
Physical review letters
Physical review letters 物理-物理:综合
CiteScore
16.50
自引率
7.00%
发文量
2673
审稿时长
2.2 months
期刊介绍: Physical review letters(PRL)covers the full range of applied, fundamental, and interdisciplinary physics research topics: General physics, including statistical and quantum mechanics and quantum information Gravitation, astrophysics, and cosmology Elementary particles and fields Nuclear physics Atomic, molecular, and optical physics Nonlinear dynamics, fluid dynamics, and classical optics Plasma and beam physics Condensed matter and materials physics Polymers, soft matter, biological, climate and interdisciplinary physics, including networks
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