Mohammed Miniya, Luis M Gaggero-Sager, Miguel E Mora-Ramos, Rolando Pérez-Álvarez, Outmane Oubram
{"title":"Self-similarity of quantum transport in graphene using electrostatic gate and substrate","authors":"Mohammed Miniya, Luis M Gaggero-Sager, Miguel E Mora-Ramos, Rolando Pérez-Álvarez, Outmane Oubram","doi":"10.1088/2516-1075/ad6c96","DOIUrl":null,"url":null,"abstract":"A particular design for multibarrier structure in graphene, yielding a self-similar transport response, is proposed. The potential profile is based on rectangular wells and barriers, generated according independent <italic toggle=\"yes\">n</italic>th order scaling laws for their heights and widths. The barriers are constructed by means of two distinct approaches (electrostatic or substrate). Dirac equation and transfer matrix approach are used to calculate transmission properties which, in turn, allow to evaluate the conductance via Landauer–Büttiker formalism. It is found that self-similarity with determined scaling rules between <italic toggle=\"yes\">n</italic>th and <inline-formula>\n<tex-math><?CDATA $(n+1)$?></tex-math><mml:math overflow=\"scroll\"><mml:mrow><mml:mo stretchy=\"false\">(</mml:mo><mml:mi>n</mml:mi><mml:mo>+</mml:mo><mml:mn>1</mml:mn><mml:mo stretchy=\"false\">)</mml:mo></mml:mrow></mml:math><inline-graphic xlink:href=\"estad6c96ieqn1.gif\"></inline-graphic></inline-formula>th generations of transport properties appears when the order of generating laws is equal or greater than <italic toggle=\"yes\">n</italic> = 7. Our proposal would be the first in which the self-similarity property is transferred from geometry to the spectrum, and consequently, to the transport properties of a quantum heterostructure. Possible ways of practical realization for the proposed structures are commented.","PeriodicalId":42419,"journal":{"name":"Electronic Structure","volume":null,"pages":null},"PeriodicalIF":2.9000,"publicationDate":"2024-08-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Electronic Structure","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1088/2516-1075/ad6c96","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"CHEMISTRY, PHYSICAL","Score":null,"Total":0}
引用次数: 0
Abstract
A particular design for multibarrier structure in graphene, yielding a self-similar transport response, is proposed. The potential profile is based on rectangular wells and barriers, generated according independent nth order scaling laws for their heights and widths. The barriers are constructed by means of two distinct approaches (electrostatic or substrate). Dirac equation and transfer matrix approach are used to calculate transmission properties which, in turn, allow to evaluate the conductance via Landauer–Büttiker formalism. It is found that self-similarity with determined scaling rules between nth and (n+1)th generations of transport properties appears when the order of generating laws is equal or greater than n = 7. Our proposal would be the first in which the self-similarity property is transferred from geometry to the spectrum, and consequently, to the transport properties of a quantum heterostructure. Possible ways of practical realization for the proposed structures are commented.
本文提出了一种石墨烯多势垒结构的特殊设计,可产生自相似的传输响应。该势垒剖面基于矩形井和势垒,根据其高度和宽度的独立 n 次阶缩放定律生成。屏障通过两种不同的方法(静电或基底)构建。利用狄拉克方程和传递矩阵方法计算透射特性,进而通过兰道尔-比提克形式主义评估电导。研究发现,当生成定律的阶数等于或大于 n = 7 时,第 n 代和第 (n+1)th 代传输特性之间会出现自相似性,并具有确定的缩放规则。我们的建议将是第一个把自相似性从几何转移到频谱,进而转移到量子异质结构的传输特性的建议。我们还对拟议结构的可能实际实现方式进行了评论。