Approaching Kasteleyn transition in frustrated quantum Heisenberg antiferromagnets

Fuente: arXiv
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Main Authors: Karlova, Katarina, Rufino, Afonso, Verkholyak, Taras, Caci, Nils, Wessel, Stefan, Strecka, Jozef, Mila, Frederic, Honecker, Andreas
Format: Preprint
Published: 2026
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author Karlova, Katarina
Rufino, Afonso
Verkholyak, Taras
Caci, Nils
Wessel, Stefan
Strecka, Jozef
Mila, Frederic
Honecker, Andreas
author_facet Karlova, Katarina
Rufino, Afonso
Verkholyak, Taras
Caci, Nils
Wessel, Stefan
Strecka, Jozef
Mila, Frederic
Honecker, Andreas
contents We show that the Kasteleyn transition, the abrupt proliferation of infinite strings of defects in classical dimer and related models, can also be relevant for frustrated 2d quantum magnets. This is explicitly demonstrated in a phase of the spin-1/2 Heisenberg diamond-decorated honeycomb lattice where a family of exact eigenstates built as products of dimer and plaquette singlets can be mapped onto the dimer coverings of the honeycomb lattice. The low-temperature properties of this phase are accurately described by an effective dimer model with anisotropic activities and a small, tunable density of monomers, leading to an arbitrarily sharp crossover version of the Kasteleyn transition. The generalization to other geometries and the possibility to realize this model in organo-metallic compounds are briefly discussed.
format Preprint
id arxiv_https___arxiv_org_abs_2601_14382
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Approaching Kasteleyn transition in frustrated quantum Heisenberg antiferromagnets
Karlova, Katarina
Rufino, Afonso
Verkholyak, Taras
Caci, Nils
Wessel, Stefan
Strecka, Jozef
Mila, Frederic
Honecker, Andreas
Statistical Mechanics
Strongly Correlated Electrons
We show that the Kasteleyn transition, the abrupt proliferation of infinite strings of defects in classical dimer and related models, can also be relevant for frustrated 2d quantum magnets. This is explicitly demonstrated in a phase of the spin-1/2 Heisenberg diamond-decorated honeycomb lattice where a family of exact eigenstates built as products of dimer and plaquette singlets can be mapped onto the dimer coverings of the honeycomb lattice. The low-temperature properties of this phase are accurately described by an effective dimer model with anisotropic activities and a small, tunable density of monomers, leading to an arbitrarily sharp crossover version of the Kasteleyn transition. The generalization to other geometries and the possibility to realize this model in organo-metallic compounds are briefly discussed.
title Approaching Kasteleyn transition in frustrated quantum Heisenberg antiferromagnets
topic Statistical Mechanics
Strongly Correlated Electrons
url https://arxiv.org/abs/2601.14382