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Discriminant indicators with generalized inversion symmetry

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Tsuneya Yoshida, Ryo Okugawa, Yasuhiro Hatsugai

Mesoscale and Nanoscale Physics · Submitted 13 Nov 2021

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim 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.

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arXiv ID2111.07077 (version 1)
Pith IDPEVFTNO7, Pith's permanent record of this paper and its review
CitationRyo Okugawa, Tsuneya Yoshida, Yasuhiro Hatsugai. "Discriminant indicators with generalized inversion symmetry." arXiv:2111.07077 (2021). https://pith.science/paper/PEVFTNO7
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The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 2,955 input tokens.

What the abstract itself states, as probabilities: claims first 0.08 · states limitation 0.14 · human participants 0.01 · controlled comparison 0.10 · randomized assignment 0.01 · states quantitative result 0.09 · compares with prior results 0.92 · mentions code or data availability 0.03.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; .

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.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 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. contribution 0.91 0.91 0.39 asserted 1.00
s1 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. contribution 0.41 0.84 0.42 asserted 1.00
s2 As demonstrations, we systematically analyze $3\times 3$-Hamiltonians where the proper choice of the reference energy is not obvious. contribution 0.61 0.93 0.05 asserted 0.98

What kind of paper the classifier reports this is: method or tool 1.00 · evidence from simulation or computation 0.81.

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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original 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.

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1 arXiv paper cite this in 1 sentence

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it

Cites it as background 1 paper
  • Aside from these seven symmetries, pseudo-chiral symmetry ($psCS$) [ref] , inversion ($I$) symmetry [ref] , parity ($P$) symmetry and its combination with time-reversal ($PT$) [ref] and particle-hole ($CP$) symmetries [ref] have been considered in exploring various properties of non-Hermitian systems.

    Realizing exceptional points of any order in the presence of symmetry · Introduction · 0.83

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