Discriminant indicators with generalized inversion symmetry

Abstract

We propose indicators of the discriminant for systems with generalized inversion symmetry which are computed from data only at high-symmetry points in the Brillouin zone. Our approach captures the exceptional points and their symmetry-protected variants without ambiguity arising from the reference energy, which is advantage over the previously known indicators for non-Hermitian systems. As demonstrations, we systematically analyze $3\times 3$-Hamiltonians where the proper choice of the reference energy is not obvious.

arXiv comment8 pages and 3 figures

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Cited by in corpus (7)

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• Protection of all nondefective twofold degeneracies by anti-unitary symmetries in non-Hermitian systems
• Non-Hermitian skin effect enforced by nonsymmorphic symmetries
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• Magnetic field effects on the Kitaev model coupled to environment