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Title: Snake states and their symmetries in graphene
Authors: Liu, Yang
Tiwari, Rakesh P.
Brada, Matej
Bruder, C.
Kusmartsev, F.V.
Mele, Elisa
Issue Date: 2015
Publisher: © American Physical Society
Citation: LIU, Y. ... et al., 2015. Snake states and their symmetries in graphene. Physical Review B, 92(23), pp.235438
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.
Version: Published
DOI: 10.1103/PhysRevB.92.235438
URI: https://dspace.lboro.ac.uk/2134/19995
Publisher Link: http://dx.doi.org/10.1103/PhysRevB.92.235438
ISSN: 1098-0121
Appears in Collections:Published Articles (Physics)

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