Finite-temperature properties of the easy-axis Heisenberg model on frustrated lattices

Fuente: arXiv
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Autores principales: Ulaga, Martin, Kokalj, Jure, Wietek, Alexander, Zorko, Andrej, Prelovšek, Peter
Formato: Preprint
Publicado: 2023
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author Ulaga, Martin
Kokalj, Jure
Wietek, Alexander
Zorko, Andrej
Prelovšek, Peter
author_facet Ulaga, Martin
Kokalj, Jure
Wietek, Alexander
Zorko, Andrej
Prelovšek, Peter
contents Motivated by recent experiments on a compound {displaying Ising-like short-range correlations on the triangular lattice, we study the anisotropic easy-axis spin-$1/2$ Heisenberg model on the triangular and kagome lattice} by performing numerical calculations of finite-temperature properties, in particular of static spin structure factor and of thermodynamic quantities, on systems with up to 36 sites. On the triangular lattice, the low-temperature spin structure factor {exhibits long-range} spin correlations in the whole range of anisotropies, whereas thermodynamic quantities reveal a crossover upon increasing the anisotropy, most pronounced in the vanishing generalized Wilson ratio in the easy-axis regime. In contrast, on the kagome lattice, the spin structure factor is short-range, and thermodynamic quantities evolve steadily between the easy-axis and the isotropic case, consistent with the interpretation in terms of {a} spin liquid.
format Preprint
id arxiv_https___arxiv_org_abs_2307_03545
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Finite-temperature properties of the easy-axis Heisenberg model on frustrated lattices
Ulaga, Martin
Kokalj, Jure
Wietek, Alexander
Zorko, Andrej
Prelovšek, Peter
Strongly Correlated Electrons
Motivated by recent experiments on a compound {displaying Ising-like short-range correlations on the triangular lattice, we study the anisotropic easy-axis spin-$1/2$ Heisenberg model on the triangular and kagome lattice} by performing numerical calculations of finite-temperature properties, in particular of static spin structure factor and of thermodynamic quantities, on systems with up to 36 sites. On the triangular lattice, the low-temperature spin structure factor {exhibits long-range} spin correlations in the whole range of anisotropies, whereas thermodynamic quantities reveal a crossover upon increasing the anisotropy, most pronounced in the vanishing generalized Wilson ratio in the easy-axis regime. In contrast, on the kagome lattice, the spin structure factor is short-range, and thermodynamic quantities evolve steadily between the easy-axis and the isotropic case, consistent with the interpretation in terms of {a} spin liquid.
title Finite-temperature properties of the easy-axis Heisenberg model on frustrated lattices
topic Strongly Correlated Electrons
url https://arxiv.org/abs/2307.03545