Fermionic symmetry-protected topological state in strained graphene

2017/08/25 by Ying-Hai Wu, Tao Shi, G. J. Sreejith +1
Materials Science · Mathematics · Physics and Astronomy · #Condensed matter physics #Dirac (video compression format) #Dirac fermion #Fermion #Field (mathematics) #Gauge theory #Geometry #Graphene #Graphene research and applications #Magnetic field #Mathematics #Physics #Quantum and electron transport phenomena #Quantum mechanics #Spin (aerodynamics) #Symmetry (geometry) #Topological Materials and Phenomena #Topology (electrical circuits) #cond-mat.mes-hall #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.96.085138

published as Phys. Rev. B 96, 085138 (2017) · 8 pages, 4 figures

openalex publication_date 2017/08/25 · arxiv created 2017/08/27 · arxiv updated 2017/08/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The low-energy physics of graphene is described by relativistic Dirac fermions with spin and valley degrees of freedom. Mechanical strain can be used to create a pseudomagnetic field pointing to opposite directions in the two valleys. We study interacting electrons in graphene exposed to both an external real magnetic field and a strain-induced pseudomagnetic field. For a certain ratio between these two fields, it is proposed that a fermionic symmetry-protected topological state can be realized. The state is characterized in detail using model wave functions, Chern-Simons field theory, and numerical calculations. Our paper suggests that graphene with artificial gauge fields may host a rich set of topological states.

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