Extended Creutz ladder with spin-orbit coupling: A one-dimensional analog of the Kane-Mele model

S. Gholizadeh, Yahyavi Mohammad, B. Hetényi

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

We construct a topological one-dimensional ladder model following the steps which lead to the Kane-Mele model in two dimensions. Starting with a Creutz ladder we modify it so that the gap closure points can occur at either or . We then couple two such models, one for each spin channel, in such a way that time-reversal invariance is restored. We also add a Rashba spin-orbit coupling term. The model falls in the CII symmetry class. We derive the relevant topological index, calculate the phase diagram and demonstrate the existence of edge states. We also give the thermodynamic derivation (Středa-Widom) of the quantum spin Hall conductance. Approximate implementation of this result indicates that this quantity is sensitive to the topological behavior of the model.

Original languageEnglish
Article number27001
JournalEPL
Volume122
Issue number2
DOIs
Publication statusPublished - 2018 Apr 1

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ladders
analogs
orbits
closures
invariance
derivation
phase diagrams
thermodynamics
symmetry

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

Cite this

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abstract = "We construct a topological one-dimensional ladder model following the steps which lead to the Kane-Mele model in two dimensions. Starting with a Creutz ladder we modify it so that the gap closure points can occur at either or . We then couple two such models, one for each spin channel, in such a way that time-reversal invariance is restored. We also add a Rashba spin-orbit coupling term. The model falls in the CII symmetry class. We derive the relevant topological index, calculate the phase diagram and demonstrate the existence of edge states. We also give the thermodynamic derivation (Středa-Widom) of the quantum spin Hall conductance. Approximate implementation of this result indicates that this quantity is sensitive to the topological behavior of the model.",
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Extended Creutz ladder with spin-orbit coupling : A one-dimensional analog of the Kane-Mele model. / Gholizadeh, S.; Mohammad, Yahyavi; Hetényi, B.

In: EPL, Vol. 122, No. 2, 27001, 01.04.2018.

Research output: Contribution to journalArticle

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