Diagnosing topological crystalline insulators using surface theories
ORAL
Abstract
We investigate the possible surface modes in the three-dimensional
non-interacting topological phases captured by the bulk symmetry band
indicators obtained in Ref. [1]. We first provide examples of unusual
surface states protected by time-reversal symmetry and crystalline
symmetries and discuss how these states can be constructed in systems
with strong spin-orbit. We then investigate possible phases with
unusual surface states which are not captured by the symmetry band
indicators. At the end, we discuss the possible extension of our
analysis to include particle-hole symmetry, thus incorporating the
10-fold way into our treatment.
[1] H. C. Po, A. Vishwanath, and H. Watanabe, Nature Communications 8 (2017).
non-interacting topological phases captured by the bulk symmetry band
indicators obtained in Ref. [1]. We first provide examples of unusual
surface states protected by time-reversal symmetry and crystalline
symmetries and discuss how these states can be constructed in systems
with strong spin-orbit. We then investigate possible phases with
unusual surface states which are not captured by the symmetry band
indicators. At the end, we discuss the possible extension of our
analysis to include particle-hole symmetry, thus incorporating the
10-fold way into our treatment.
[1] H. C. Po, A. Vishwanath, and H. Watanabe, Nature Communications 8 (2017).
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Presenters
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Eslam Khalaf
Max Planck Institute for Solid State Research
Authors
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Eslam Khalaf
Max Planck Institute for Solid State Research
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Hoi Chun Po
Physics, Harvard University, Physics, Harvard, Department of Physics, Harvard University
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HARUKI WATANABE
Applied Physics, University of Tokyo, Department of Applied Physics, University of Tokyo
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Ashvin Vishwanath
Physics, Harvard University, Department of Physics, Harvard University, Harvard Univ, Caltech