{"title":"磁场中摩尔超晶格的可解模型","authors":"E. N. Grishanov, I. Y. Popov","doi":"10.1007/s12648-024-03274-5","DOIUrl":null,"url":null,"abstract":"<p>Solvable model of moire superlattice in a homogeneous magnetic field is constructed. The system consists of two parallel plane layers with 2D lattices. The lattice at one plane is turned in respect to another one. The dependence of the spectrum of the model Hamiltonian on the magnetic field (i.e. energy-flux diagram) has Hofstadter butterfly type. We compared the energy-flux diagrams for different angles between the orientations of the lattices.</p>","PeriodicalId":584,"journal":{"name":"Indian Journal of Physics","volume":null,"pages":null},"PeriodicalIF":1.6000,"publicationDate":"2024-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Solvable model of moire superlattice in a magnetic field\",\"authors\":\"E. N. Grishanov, I. Y. Popov\",\"doi\":\"10.1007/s12648-024-03274-5\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>Solvable model of moire superlattice in a homogeneous magnetic field is constructed. The system consists of two parallel plane layers with 2D lattices. The lattice at one plane is turned in respect to another one. The dependence of the spectrum of the model Hamiltonian on the magnetic field (i.e. energy-flux diagram) has Hofstadter butterfly type. We compared the energy-flux diagrams for different angles between the orientations of the lattices.</p>\",\"PeriodicalId\":584,\"journal\":{\"name\":\"Indian Journal of Physics\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":1.6000,\"publicationDate\":\"2024-05-31\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Indian Journal of Physics\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://doi.org/10.1007/s12648-024-03274-5\",\"RegionNum\":4,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"PHYSICS, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Indian Journal of Physics","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1007/s12648-024-03274-5","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
Solvable model of moire superlattice in a magnetic field
Solvable model of moire superlattice in a homogeneous magnetic field is constructed. The system consists of two parallel plane layers with 2D lattices. The lattice at one plane is turned in respect to another one. The dependence of the spectrum of the model Hamiltonian on the magnetic field (i.e. energy-flux diagram) has Hofstadter butterfly type. We compared the energy-flux diagrams for different angles between the orientations of the lattices.
期刊介绍：
Indian Journal of Physics is a monthly research journal in English published by the Indian Association for the Cultivation of Sciences in collaboration with the Indian Physical Society. The journal publishes refereed papers covering current research in Physics in the following category: Astrophysics, Atmospheric and Space physics; Atomic & Molecular Physics; Biophysics; Condensed Matter & Materials Physics; General & Interdisciplinary Physics; Nonlinear dynamics & Complex Systems; Nuclear Physics; Optics and Spectroscopy; Particle Physics; Plasma Physics; Relativity & Cosmology; Statistical Physics.
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