The bulk-edge correspondence in three simple cases

Jacob Shapiro

doi:10.1142/S0129055X20300034

The bulk-edge correspondence in three simple cases

Jacob Shapiro

Research output: Contribution to journal › Review article › peer-review

16 Scopus citations

Abstract

We present examples in three symmetry classes of topological insulators in one or two dimensions where the proof of the bulk-edge correspondence is particularly simple. This serves to illustrate the mechanism behind the bulk-edge principle without the overhead of the more general proofs which are available. We also give a new formula for the &2-index of our time-reversal invariant systems inspired by Moore and Balents.

Original language	English (US)
Article number	2030003
Journal	Reviews in Mathematical Physics
Volume	32
Issue number	3
DOIs	https://doi.org/10.1142/S0129055X20300034
State	Published - Apr 1 2020
Externally published	Yes

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

Keywords

Topological insulators
time-reversal invariance
translation invariance

Access to Document

10.1142/S0129055X20300034

Cite this

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title = "The bulk-edge correspondence in three simple cases",

abstract = "We present examples in three symmetry classes of topological insulators in one or two dimensions where the proof of the bulk-edge correspondence is particularly simple. This serves to illustrate the mechanism behind the bulk-edge principle without the overhead of the more general proofs which are available. We also give a new formula for the &2-index of our time-reversal invariant systems inspired by Moore and Balents.",

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AB - We present examples in three symmetry classes of topological insulators in one or two dimensions where the proof of the bulk-edge correspondence is particularly simple. This serves to illustrate the mechanism behind the bulk-edge principle without the overhead of the more general proofs which are available. We also give a new formula for the &2-index of our time-reversal invariant systems inspired by Moore and Balents.

KW - Topological insulators

KW - time-reversal invariance

KW - translation invariance

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M3 - Review article

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JO - Reviews in Mathematical Physics

JF - Reviews in Mathematical Physics

IS - 3

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ER -

The bulk-edge correspondence in three simple cases

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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