Kusmartsev_PhysRevB.92.235438.pdf (1.35 MB)
Snake states and their symmetries in graphene
journal contribution
posted on 2016-01-12, 09:47 authored by Yang Liu, Rakesh P. Tiwari, Matej Brada, C. Bruder, Feodor Kusmartsev, Elisa MeleSnake 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.
History
School
- Science
Department
- Physics
Published in
Physical ReviewVolume
B00Issue
PHYSICAL REVIEW B 00, 005400 (2015)Citation
LIU, Y. ... et al., 2015. Snake states and their symmetries in graphene. Physical Review B, 92(23), pp.235438Publisher
© American Physical SocietyVersion
- VoR (Version of Record)
Publisher statement
This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/Publication date
2015ISSN
1098-0121eISSN
1550-235XPublisher version
Language
- en