{"title":"Enhanced tunneling probabilities through a barrier with embedded δ−potential wells","authors":"Jamie D. Walls, Karna Nagalla","doi":"10.1016/j.physe.2025.116200","DOIUrl":null,"url":null,"abstract":"<div><div>A theory for the tunneling of electrons through a one dimensional barrier of length <span><math><msub><mrow><mi>L</mi></mrow><mrow><mi>B</mi></mrow></msub></math></span> embedded with <span><math><mrow><mi>δ</mi><mo>−</mo></mrow></math></span>wells is presented. For a periodic arrangement of <span><math><msub><mrow><mi>N</mi></mrow><mrow><mi>S</mi></mrow></msub></math></span> <span><math><mrow><mi>δ</mi><mo>−</mo></mrow></math></span>wells, 100% transmission through a barrier can occur via transmission modes with effective wavelengths <span><math><mrow><msub><mrow><mi>λ</mi></mrow><mrow><mi>l</mi></mrow></msub><mo>≈</mo><mfrac><mrow><mn>2</mn><msub><mrow><mi>L</mi></mrow><mrow><mi>B</mi></mrow></msub></mrow><mrow><mi>l</mi></mrow></mfrac></mrow></math></span> for <span><math><mrow><mi>l</mi><mo>=</mo><mn>1</mn></mrow></math></span> to <span><math><mrow><mi>l</mi><mo>=</mo><msub><mrow><mi>N</mi></mrow><mrow><mi>S</mi></mrow></msub><mo>−</mo><mn>1</mn></mrow></math></span>. An additional broad transmission band is also shown to occur for <span><math><mrow><mi>δ</mi><mo>−</mo></mrow></math></span>well coupling strengths that cause the overall, spatially averaged potential to vanish. Even for random arrangements of <span><math><mrow><mi>δ</mi><mo>−</mo></mrow></math></span>wells within a barrier, nearly perfect transmission is predicted for the lowest transmission bands (i.e., largest <span><math><msub><mrow><mi>λ</mi></mrow><mrow><mi>l</mi></mrow></msub></math></span>). Numerical calculations also demonstrate that <span><math><mrow><mi>δ</mi><mo>−</mo></mrow></math></span>wells within a 1D barrier increase conductance over a wider range of barrier heights relative to the conductance through a 1D barrier without <span><math><mrow><mi>δ</mi><mo>−</mo></mrow></math></span>wells.</div></div>","PeriodicalId":20181,"journal":{"name":"Physica E-low-dimensional Systems & Nanostructures","volume":"169 ","pages":"Article 116200"},"PeriodicalIF":2.9000,"publicationDate":"2025-02-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physica E-low-dimensional Systems & Nanostructures","FirstCategoryId":"101","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S1386947725000256","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"NANOSCIENCE & NANOTECHNOLOGY","Score":null,"Total":0}
引用次数: 0
Abstract
A theory for the tunneling of electrons through a one dimensional barrier of length embedded with wells is presented. For a periodic arrangement of wells, 100% transmission through a barrier can occur via transmission modes with effective wavelengths for to . An additional broad transmission band is also shown to occur for well coupling strengths that cause the overall, spatially averaged potential to vanish. Even for random arrangements of wells within a barrier, nearly perfect transmission is predicted for the lowest transmission bands (i.e., largest ). Numerical calculations also demonstrate that wells within a 1D barrier increase conductance over a wider range of barrier heights relative to the conductance through a 1D barrier without wells.
期刊介绍:
Physica E: Low-dimensional systems and nanostructures contains papers and invited review articles on the fundamental and applied aspects of physics in low-dimensional electron systems, in semiconductor heterostructures, oxide interfaces, quantum wells and superlattices, quantum wires and dots, novel quantum states of matter such as topological insulators, and Weyl semimetals.
Both theoretical and experimental contributions are invited. Topics suitable for publication in this journal include spin related phenomena, optical and transport properties, many-body effects, integer and fractional quantum Hall effects, quantum spin Hall effect, single electron effects and devices, Majorana fermions, and other novel phenomena.
Keywords:
• topological insulators/superconductors, majorana fermions, Wyel semimetals;
• quantum and neuromorphic computing/quantum information physics and devices based on low dimensional systems;
• layered superconductivity, low dimensional systems with superconducting proximity effect;
• 2D materials such as transition metal dichalcogenides;
• oxide heterostructures including ZnO, SrTiO3 etc;
• carbon nanostructures (graphene, carbon nanotubes, diamond NV center, etc.)
• quantum wells and superlattices;
• quantum Hall effect, quantum spin Hall effect, quantum anomalous Hall effect;
• optical- and phonons-related phenomena;
• magnetic-semiconductor structures;
• charge/spin-, magnon-, skyrmion-, Cooper pair- and majorana fermion- transport and tunneling;
• ultra-fast nonlinear optical phenomena;
• novel devices and applications (such as high performance sensor, solar cell, etc);
• novel growth and fabrication techniques for nanostructures