Visons in Kitaev Spin Liquids with Majorana Fermi Surfaces

Fuente: arXiv
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Auteurs principaux: Soares, Caio V. S., Pereira, Rodrigo G.
Format: Preprint
Publié: 2026
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author Soares, Caio V. S.
Pereira, Rodrigo G.
author_facet Soares, Caio V. S.
Pereira, Rodrigo G.
contents The excitation spectrum of Kitaev quantum spin liquids consists of itinerant Majorana fermions, which can be gapless or gapped, and vortices of a $\mathbb{Z}_2$ gauge field, known as visons, which are always gapped. In this work, we investigate visons in Kitaev-type models where the Majorana fermions form a Fermi surface. In this case, the creation of a vison pair is analogous to introducing a local impurity potential in a metal. Since the gapless modes lead to strong finite-size effects, we compare the numerical calculation of the vison gap on finite lattices with the result from an analytical approach based on Green's function techniques. We find that the vison gap decreases as the size of the Fermi surface increases, signalling an instability of the quantum spin liquid ground state. We also show that larger Fermi surfaces tend to suppress the change in local spin correlations due to the Majorana-vison scattering potential.
format Preprint
id arxiv_https___arxiv_org_abs_2604_23014
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Visons in Kitaev Spin Liquids with Majorana Fermi Surfaces
Soares, Caio V. S.
Pereira, Rodrigo G.
Strongly Correlated Electrons
The excitation spectrum of Kitaev quantum spin liquids consists of itinerant Majorana fermions, which can be gapless or gapped, and vortices of a $\mathbb{Z}_2$ gauge field, known as visons, which are always gapped. In this work, we investigate visons in Kitaev-type models where the Majorana fermions form a Fermi surface. In this case, the creation of a vison pair is analogous to introducing a local impurity potential in a metal. Since the gapless modes lead to strong finite-size effects, we compare the numerical calculation of the vison gap on finite lattices with the result from an analytical approach based on Green's function techniques. We find that the vison gap decreases as the size of the Fermi surface increases, signalling an instability of the quantum spin liquid ground state. We also show that larger Fermi surfaces tend to suppress the change in local spin correlations due to the Majorana-vison scattering potential.
title Visons in Kitaev Spin Liquids with Majorana Fermi Surfaces
topic Strongly Correlated Electrons
url https://arxiv.org/abs/2604.23014