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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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The abstract, sentence by sentence
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
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| 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 |
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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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