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Persistence of phase boundaries between a topological and trivial Z2 insulator

Strongly Correlated Electrons · Submitted 3 Jul 2012

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

The authors' main claim Surprisingly we find that even in the absence of time reversal symmetry, gapless regions originating from the phase boundaries persist.

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arXiv ID1207.0581 (version 1)
Pith ID5INRYGMT, Pith's permanent record of this paper and its review
CitationEhud Altman, Zohar Ringel. "Persistence of phase boundaries between a topological and trivial Z2 insulator." arXiv:1207.0581 (2012). https://pith.science/paper/5INRYGMT
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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-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 3,634 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.05 · states limitation 0.08 · human participants 0.01 · controlled comparison 0.09 · randomized assignment 0.01 · states quantitative result 0.06 · compares with prior results 0.57 · mentions code or data availability 0.01.

The abstract, sentence by sentence

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

When time reversal symmetry is present there is a sharp distinction between topological and trivial band insulators which ensures that, as parameters are varied, these phases are separated by a phase transition at which the bulk gap closes. Surprisingly we find that even in the absence of time reversal symmetry, gapless regions originating from the phase boundaries persist. Moreover the critical line generically opens up to enclose Chern insulating phases that are thin but of finite extent in the phase diagram. We explain the topological origin of this effect in terms of quantized charge pumping, showing in particular that it is robust to the effect of disorder and interactions.

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 When time reversal symmetry is present there is a sharp distinction between topological and trivial band insulators which ensures that, as parameters are varied, these phases are separated by a phase transition at which the bulk gap closes. background 1.00 0.05 0.05 asserted 1.00
s1 Surprisingly we find that even in the absence of time reversal symmetry, gapless regions originating from the phase boundaries persist. result 1.00 0.95 0.64 asserted 1.00
s2 Moreover the critical line generically opens up to enclose Chern insulating phases that are thin but of finite extent in the phase diagram. result 1.00 0.87 0.25 asserted 1.00
s3 We explain the topological origin of this effect in terms of quantized charge pumping, showing in particular that it is robust to the effect of disorder and interactions. interpretation 0.79 0.93 0.23 asserted 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.66.

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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

When time reversal symmetry is present there is a sharp distinction between topological and trivial band insulators which ensures that, as parameters are varied, these phases are separated by a phase transition at which the bulk gap closes. Surprisingly we find that even in the absence of time reversal symmetry, gapless regions originating from the phase boundaries persist. Moreover the critical line generically opens up to enclose Chern insulating phases that are thin but of finite extent in the phase diagram. We explain the topological origin of this effect in terms of quantized charge pumping, showing in particular that it is robust to the effect of disorder and interactions.

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