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      Topological phases in acoustic and mechanical systems

      , ,
      Nature Reviews Physics
      Springer Science and Business Media LLC

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          Quantum Spin Hall Effect in Graphene

          We study the effects of spin orbit interactions on the low energy electronic structure of a single plane of graphene. We find that in an experimentally accessible low temperature regime the symmetry allowed spin orbit potential converts graphene from an ideal two-dimensional semimetallic state to a quantum spin Hall insulator. This novel electronic state of matter is gapped in the bulk and supports the transport of spin and charge in gapless edge states that propagate at the sample boundaries. The edge states are nonchiral, but they are insensitive to disorder because their directionality is correlated with spin. The spin and charge conductances in these edge states are calculated and the effects of temperature, chemical potential, Rashba coupling, disorder, and symmetry breaking fields are discussed.
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            Unpaired Majorana fermions in quantum wires

            A. Kitaev (2001)
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              Spin-Orbit Interaction and Magnetoresistance in the Two Dimensional Random System

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                Author and article information

                Journal
                Nature Reviews Physics
                Nat Rev Phys
                Springer Science and Business Media LLC
                2522-5820
                April 2019
                March 1 2019
                April 2019
                : 1
                : 4
                : 281-294
                Article
                10.1038/s42254-019-0030-x
                86e8b4bb-1703-474c-ab07-19d615bedff5
                © 2019

                http://www.springer.com/tdm

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