{"title":"一维紧密结合准晶体模型的高度函数与波函数的多重分形","authors":"兰 苏","doi":"10.12677/mp.2023.132006","DOIUrl":null,"url":null,"abstract":"A tight-binding Hamiltonian is constructed in a one-dimensional quasicrystal model and the central electronic eigenstate is investigated based on the substitution rule. By computing the height function distribution, the multifractal spectrum of the wavefunction is obtained. The results show typical behaviors of the critical state.","PeriodicalId":21172,"journal":{"name":"Reviews of Modern Physics","volume":"95 1","pages":""},"PeriodicalIF":45.9000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Height Function of a 1D Tight-Binding Quasicrystal Model and Multifractality of Wavefunction\",\"authors\":\"兰 苏\",\"doi\":\"10.12677/mp.2023.132006\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A tight-binding Hamiltonian is constructed in a one-dimensional quasicrystal model and the central electronic eigenstate is investigated based on the substitution rule. By computing the height function distribution, the multifractal spectrum of the wavefunction is obtained. The results show typical behaviors of the critical state.\",\"PeriodicalId\":21172,\"journal\":{\"name\":\"Reviews of Modern Physics\",\"volume\":\"95 1\",\"pages\":\"\"},\"PeriodicalIF\":45.9000,\"publicationDate\":\"2023-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Reviews of Modern Physics\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://doi.org/10.12677/mp.2023.132006\",\"RegionNum\":1,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"PHYSICS, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Reviews of Modern Physics","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.12677/mp.2023.132006","RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
Height Function of a 1D Tight-Binding Quasicrystal Model and Multifractality of Wavefunction
A tight-binding Hamiltonian is constructed in a one-dimensional quasicrystal model and the central electronic eigenstate is investigated based on the substitution rule. By computing the height function distribution, the multifractal spectrum of the wavefunction is obtained. The results show typical behaviors of the critical state.
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Reviews of Modern Physics (RMP) stands as the world's foremost physics review journal and is the most extensively cited publication within the Physical Review collection. Authored by leading international researchers, RMP's comprehensive essays offer exceptional coverage of a topic, providing context and background for contemporary research trends. Since 1929, RMP has served as an unparalleled platform for authoritative review papers across all physics domains. The journal publishes two types of essays: Reviews and Colloquia. Review articles deliver the present state of a given topic, including historical context, a critical synthesis of research progress, and a summary of potential future developments.
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