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Discriminant indicators with generalized inversion symmetry

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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… Click to show full 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 × 3-Hamiltonians where the proper choice of the reference energy is not obvious.

Keywords: generalized inversion; inversion symmetry; symmetry; indicators generalized; discriminant indicators

Journal Title: Physical Review B
Year Published: 2022

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