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Condensed Matter > Mesoscale and Nanoscale Physics
Title: Square-root topological phase with time-reversal and particle-hole symmetry
(Submitted on 21 Mar 2021 (v1), last revised 24 Mar 2021 (this version, v2))
Abstract: Square-root topological phases have been discussed mainly for systems with chiral symmetry. In this paper, we analyze the topology of the squared Hamiltonian for systems preserving the time-reversal and particle-hole symmetry. Our analysis elucidates that two-dimensional systems of class CII host helical edge states due to the nontrivial topology of the squared Hamiltonian in contrast to the absence of ordinary topological phases. The emergence of the helical edge modes is demonstrated by analyzing a toy model. We also show the emergence of surface states induced by the non-trivial topology of the squared Hamiltonian in three dimensions.
Submission history
From: Tsuneya Yoshida [view email][v1] Sun, 21 Mar 2021 04:56:31 GMT (746kb,D)
[v2] Wed, 24 Mar 2021 01:25:15 GMT (746kb,D)
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