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Gauging the Kitaev chain

Borla, U and Verresen, R and Shah, J and Moroz, S (2021) Gauging the Kitaev chain. In: SciPost Physics, 10 (6).

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Official URL: https://doi.org/10.21468/SciPostPhys.10.6.148


We gauge the fermion parity symmetry of the Kitaev chain. While the bulk of the model becomes an Ising chain of gauge-invariant spins in a tilted field, near the boundaries the global fermion parity symmetry survives gauging, leading to local gauge-invariant Majorana operators. In the absence of vortices, the Higgs phase exhibits fermionic symmetry-protected topological (SPT) order distinct from the Kitaev chain. Moreover, the deconfined phase can be stable even in the presence of vortices. We also undertake a comprehensive study of a gently gauged model which interpolates between the ordinary and gauged Kitaev chains. This showcases rich quantum criticality and illuminates the topological nature of the Higgs phase. Even in the absence of superconducting terms, gauging leads to an SPT phase which is intrinsically gapless due to an emergent anomaly.

Item Type: Journal Article
Publication: SciPost Physics
Publisher: SciPost Foundation
Additional Information: The copyright for this article belongs to the author.
Department/Centre: UG Programme
Date Deposited: 28 Oct 2023 03:04
Last Modified: 28 Oct 2023 03:04
URI: https://eprints.iisc.ac.in/id/eprint/82795

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