Z2-classification of localization properties in graphene

Ken Ichiro Imura, Yoshio Kuramoto, Kentaro Nomura

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We propose a simple criterion to identify the weak localization (WL) property of graphene in the presence or absence of inter-valley scattering, intrinsic and extrinsic (Rashba) spin-orbit interactions. We show that it is determined by the parity of the number Ns of activated (pseudo-)spins, e.g., sub-lattice, valley and real spins, in the system. If Ns is even (odd), the system shows WL (anti-localization). If a mass term exists, and is not invariant under the relevant time-reversal operation, then unitary behavior (absence of WL correction) is predicted. We discuss some implications of our results to other Dirac fermion systems such as HgTe/HgCdTe quantum well.

Original languageEnglish
Title of host publicationInternational Conference of Computational Methods in Sciences and Engineering 2009, ICCMSE 2009
Pages871-874
Number of pages4
DOIs
Publication statusPublished - 2012 Dec 1
EventInternational Conference of Computational Methods in Sciences and Engineering 2009, ICCMSE 2009 - Rhodes, Greece
Duration: 2009 Sep 292009 Oct 4

Publication series

NameAIP Conference Proceedings
Volume1504
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Other

OtherInternational Conference of Computational Methods in Sciences and Engineering 2009, ICCMSE 2009
CountryGreece
CityRhodes
Period09/9/2909/10/4

Keywords

  • graphene
  • localization
  • spin-orbit interactions
  • topological insulator

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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  • Cite this

    Imura, K. I., Kuramoto, Y., & Nomura, K. (2012). Z2-classification of localization properties in graphene. In International Conference of Computational Methods in Sciences and Engineering 2009, ICCMSE 2009 (pp. 871-874). (AIP Conference Proceedings; Vol. 1504). https://doi.org/10.1063/1.4771833