Origin of robust <math><msub><mi mathvariant="double-struck">Z</mi><mn>2</mn></msub></math> topological phases in stacked Hermitian systems: Non-Hermitian level repulsion - INSPIRE

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Origin of robust $Z_{2}$ topological phases in stacked Hermitian systems: Non-Hermitian level repulsion

Jul 30, 2024

13 pages

Published in:

Phys.Rev.B 110 (2024) 24, 245404

Published: Dec 4, 2024

e-Print:

2407.20759 [cond-mat.mes-hall]

DOI:

10.1103/PhysRevB.110.245404 (publication)

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Abstract: (APS)

Quantum spin Hall insulators, which possess a nontrivial

Z_{2}

topological phase, have attracted great attention for two decades. It is generally believed that when an even number of layers of the quantum spin Hall insulators are stacked, the

Z_{2}

topological phase becomes unstable due to the

Z_{2}

nature. While the counterexamples of the instability were observed in several papers, there is no systematic understanding. In this work, we provide a systematic understanding of the robust

Z_{2}

topological phase in a Hermitian system with chiral symmetry against stacking. We clarify that the robustness generally originates from level repulsion in the corresponding non-Hermitian system derived from Hermitization. We demonstrate this by treating a class DIII superconductor in 1D with

Z_{2}

topology and the corresponding non-Hermitian 1D system in class

{AII}^{†}

with

Z_{2}

point-gap topology.

Note:

13 pages, 11 figures

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Figures(11)

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