Topological phases of the two-leg Kitaev ladder

Ning Wu

doi:10.1016/j.physleta.2012.10.016

Topological phases of the two-leg Kitaev ladder

Ning Wu^*

^*Corresponding author for this work

Tsinghua University

Research output: Contribution to journal › Article › peer-review

30 Citations (Scopus)

Abstract

We study the phase diagram of the two-leg Kitaev model. Different topological phases can be characterized by either the number of Majorana modes for a deformed chain of the open ladder, or by a winding number related to the 'h-loop' in the momentum space. By adding a three-spin interaction term to break the time-reversal symmetry, two originally different phases are glued together, so that the number of Majorana modes reduce to 0 or 1, namely, the topological invariant collapses to ^Z2 from an integer Z. These observations are consistent with a recent general study [S. Tewari, J.D. Sau, arXiv:1111.6592v2].

Original language	English
Pages (from-to)	3530-3534
Number of pages	5
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	376
Issue number	46
DOIs	https://doi.org/10.1016/j.physleta.2012.10.016
Publication status	Published - 15 Oct 2012
Externally published	Yes

Keywords

Kitaev model
Topological invariants
Topological transitions

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10.1016/j.physleta.2012.10.016

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abstract = "We study the phase diagram of the two-leg Kitaev model. Different topological phases can be characterized by either the number of Majorana modes for a deformed chain of the open ladder, or by a winding number related to the 'h-loop' in the momentum space. By adding a three-spin interaction term to break the time-reversal symmetry, two originally different phases are glued together, so that the number of Majorana modes reduce to 0 or 1, namely, the topological invariant collapses to Z2 from an integer Z. These observations are consistent with a recent general study [S. Tewari, J.D. Sau, arXiv:1111.6592v2].",

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AB - We study the phase diagram of the two-leg Kitaev model. Different topological phases can be characterized by either the number of Majorana modes for a deformed chain of the open ladder, or by a winding number related to the 'h-loop' in the momentum space. By adding a three-spin interaction term to break the time-reversal symmetry, two originally different phases are glued together, so that the number of Majorana modes reduce to 0 or 1, namely, the topological invariant collapses to Z2 from an integer Z. These observations are consistent with a recent general study [S. Tewari, J.D. Sau, arXiv:1111.6592v2].

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KW - Topological transitions

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Topological phases of the two-leg Kitaev ladder

Abstract

Keywords

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