Z2-classification of localization properties in graphene

Ken Ichiro Imura; Yoshio Kuramoto; Kentaro Nomura

doi:10.1063/1.4771833

Z₂-classification of localization properties in graphene

Ken Ichiro Imura, Yoshio Kuramoto, Kentaro Nomura

Research output: Chapter in Book/Report/Conference proceeding › Conference 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 N_s of activated (pseudo-)spins, e.g., sub-lattice, valley and real spins, in the system. If N_s 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 language	English
Title of host publication	International Conference of Computational Methods in Sciences and Engineering 2009, ICCMSE 2009
Pages	871-874
Number of pages	4
DOIs	https://doi.org/10.1063/1.4771833
Publication status	Published - 2012
Externally published	Yes
Event	International Conference of Computational Methods in Sciences and Engineering 2009, ICCMSE 2009 - Rhodes, Greece Duration: Sept 29 2009 → Oct 4 2009

Publication series

Name	AIP Conference Proceedings
Volume	1504
ISSN (Print)	0094-243X
ISSN (Electronic)	1551-7616

Other

Other	International Conference of Computational Methods in Sciences and Engineering 2009, ICCMSE 2009
Country/Territory	Greece
City	Rhodes
Period	9/29/09 → 10/4/09

All Science Journal Classification (ASJC) codes

Physics and Astronomy(all)

Access to Document

10.1063/1.4771833

Cite this

Imura, KI, 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. AIP Conference Proceedings, vol. 1504, pp. 871-874, International Conference of Computational Methods in Sciences and Engineering 2009, ICCMSE 2009, Rhodes, Greece, 9/29/09. https://doi.org/10.1063/1.4771833

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AB - 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.

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