edoc

Snake states and their symmetries in graphene

Liu, Yang and Tiwari, Rakesh P. and Brada, Matej and Bruder, C. and Kusmartsev, F. V. and Mele, E. J.. (2015) Snake states and their symmetries in graphene. Physical Review B, 92 (23). p. 235438.

Full text not available from this repository.

Official URL: http://edoc.unibas.ch/40573/

Downloads: Statistics Overview

Abstract

Snake states are open trajectories for charged particles propagating in two dimensions under the influence of a spatially varying perpendicular magnetic field. In the quantum limit they are protected edge modes that separate topologically inequivalent ground states and can also occur when the particle density rather than the field is made nonuniform. We examine the correspondence of snake trajectories in single-layer graphene in the quantum limit for two families of domain walls: (a) a uniform doped carrier density in an antisymmetric field profile and (b) antisymmetric carrier distribution in a uniform field. These families support different internal symmetries but the same pattern of boundary and interface currents. We demonstrate that these physically different situations are gauge equivalent when rewritten in a Nambu doubled formulation of the two limiting problems. Using gauge transformations in particle-hole space to connect these problems, we map the protected interfacial modes to the Bogoliubov quasiparticles of an interfacial one-dimensional p-wave paired state. A variational model is introduced to interpret the interfacial solutions of both domain wall problems.
Faculties and Departments:05 Faculty of Science > Departement Physik > Physik > Theoretische Physik (Bruder)
UniBasel Contributors:Bruder, Christoph and Tiwari, Rakesh
Item Type:Article, refereed
Article Subtype:Research Article
Publisher:American Physical Society
ISSN:2469-9950
e-ISSN:2469-9969
Note:Publication type according to Uni Basel Research Database: Journal article
Identification Number:
Last Modified:10 May 2017 10:45
Deposited On:10 May 2016 11:57

Repository Staff Only: item control page