On the Singular Effects in the Relativistic Landau Levels in Graphene with a Disclination  

作　　者：Rosinildo F.do Nascimento Diego Cogollo Edilberto O.Silva Moisés Rojas Cleverson Filgueiras 

机构地区：[1]Instituto de Fisica,Universidade Federal de Uberlandia,Uberlandia,MG,Brasil [2]Unidade Academica de Fisica,Universidade Federal de Campina Grande,POB 10071,58109-970,Campina Grande-PB, Brazil [3]Departamento de Fisica,Universidade Federal do Maranhao,65085-580,Sao Luis-MA,Brazil [4]Departamento de Fisica,Universidade Federal de Lavras,Caixa Postal 3037,37200-000,Lavras-MG,Brazil

出　　处：《Communications in Theoretical Physics》2018年第12期817-822,共6页理论物理通讯（英文版）

基　　金：supported by the Brazilian agencies CNPq,CAPES,FAPEMA and FAPEMIG

摘　　要：The effect of a pseudo Aharonov-Bohm(AB) magnetic field generated by a disclination on a two-dimensional electron gas in graphene is addressed in the continuum limit within the geometric approach. The influence of the coupling between the spinor fields and the singular conical curvature is investigated, which shows that singularities have pronounced impact in the Hall conductivity. Moreover, the degeneracy related to the Dirac valleys is broken for negative values of the angular momentum quantum numbers, ?, including ? ≡ 0. In this case, a Hall plateau develops at the null filling factor. Obtaining the Hall conductivity by summing over the positive and the negative ?′s, the null Landau level is recovered and the plateau at the null filling factor disappears. In any case, the standard plateaus, which are seen in a flat graphene are not obtained with these curvature and singular effects.The effect of a pseudo Aharonov-Bohm(AB) magnetic field generated by a disclination on a two-dimensional electron gas in graphene is addressed in the continuum limit within the geometric approach. The influence of the coupling between the spinor fields and the singular conical curvature is investigated, which shows that singularities have pronounced impact in the Hall conductivity. Moreover, the degeneracy related to the Dirac valleys is broken for negative values of the angular momentum quantum numbers, ?, including ? ≡ 0. In this case, a Hall plateau develops at the null filling factor. Obtaining the Hall conductivity by summing over the positive and the negative ?′s, the null Landau level is recovered and the plateau at the null filling factor disappears. In any case, the standard plateaus, which are seen in a flat graphene are not obtained with these curvature and singular effects.

关 键 词：LANDAU Levels HALL conductivity GRAPHENE Elastic deformations 

分 类 号：O4[理学—物理]