Kagalovsky, V., Chudnovskiy, A. L. and Yurkevich, I. V. (2018). Stability of a topological insulator:Interactions, disorder, and parity of Kramers doublets. Physical Review B, 97 (24),
Abstract
We study the stability of multiple conducting edge states in a topological insulator against all multiparticle perturbations allowed by time-reversal symmetry. We model a system as a multichannel Luttinger liquid, where the number of channels equals the number of Kramers doublets at the edge. We show that in a clean system with N Kramers doublets there always exist relevant perturbations (either of a superconducting or charge density wave character) which always open N-1 gaps. In the charge density wave regime, N-1 edge states get localized. The single remaining gapless mode describes the sliding of a "Wigner-crystal"-like structure. Disorder introduces multiparticle backscattering processes. While single-particle backscattering turns out to be irrelevant, the two-particle process may localize this gapless mode. Our main result is that an interacting system with N Kramers doublets at the edge may be either a trivial insulator or a topological insulator for N=1 or 2, depending on the density-density repulsion parameters, whereas any higher number N>2 of doublets gets fully localized by disorder pinning, irrespective of the parity issue.
Publication DOI: | https://doi.org/10.1103/PhysRevB.97.241116 |
---|---|
Divisions: | College of Engineering & Physical Sciences > Systems analytics research institute (SARI) College of Engineering & Physical Sciences |
Additional Information: | ©2018 American Physical Society |
Uncontrolled Keywords: | Electronic, Optical and Magnetic Materials,Condensed Matter Physics |
Publication ISSN: | 1550-235X |
Last Modified: | 30 Sep 2024 11:36 |
Date Deposited: | 16 Jul 2018 12:35 |
Full Text Link: | |
Related URLs: |
http://www.scop ... tnerID=8YFLogxK
(Scopus URL) https://journal ... sRevB.97.241116 (Publisher URL) |
PURE Output Type: | Article |
Published Date: | 2018-06-25 |
Accepted Date: | 2018-01-23 |
Authors: |
Kagalovsky, V.
Chudnovskiy, A. L. Yurkevich, I. V. ( 0000-0003-1447-8913) |