Magnetic self-frustration from spontaneous structural distortion

Fuente: arXiv
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Main Authors: Costa, T. Vignau, Rossini, G. L., Cabra, D. C., Grigera, S. A., Borzi, R. A.
Format: Preprint
Published: 2026
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author Costa, T. Vignau
Rossini, G. L.
Cabra, D. C.
Grigera, S. A.
Borzi, R. A.
author_facet Costa, T. Vignau
Rossini, G. L.
Cabra, D. C.
Grigera, S. A.
Borzi, R. A.
contents In frustrated magnetism, lattice distortions mediated by magnetoelastic coupling are commonly invoked as an escape route from extensive degeneracy toward an ordered ground state and, in some cases, the onset of multiferroicity. Here we present a minimal classical model that illustrates the converse phenomenon, which we term ``magnetic self-frustration''. Monte Carlo simulations reveal that a kagomé lattice with trivial magnetic interactions -- namely, nearest-neighbor Ising ferromagnetism -- undergoes a magnetostructural transition into a breathing-like phase, characterized by irregular bond dimerization along the three kagomé directions. Structurally, the equilateral triangles belonging to one of the two kagomé sublattices spontaneously distort, expanding into isosceles triangles. An analysis to first order in the magnetoelastic coupling constant $α$ shows that the shape of these triangles is remarkably robust. Acting like rigid building blocks in a puzzle, their vertices determine the geometry of the second sublattice, giving rise to contracted ferromagnetic triangles with a variety of shapes. The magnetic sector can be mapped onto an effective antiferromagnetic triangular lattice, which remains disordered down to low temperatures and retains a finite residual entropy of one third of that of Wannier. This self-frustrated phase takes place at intermediate values of $α$, separating the conventional undistorted ferromagnetic phase at weak coupling from a strongly coupled ordered phase characterized by a regular dimerized up-up-down-down antiferromagnetic pattern along the three kagomé directions, built from ferromagnetic triangles and hexagons.
format Preprint
id arxiv_https___arxiv_org_abs_2606_00339
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Magnetic self-frustration from spontaneous structural distortion
Costa, T. Vignau
Rossini, G. L.
Cabra, D. C.
Grigera, S. A.
Borzi, R. A.
Strongly Correlated Electrons
In frustrated magnetism, lattice distortions mediated by magnetoelastic coupling are commonly invoked as an escape route from extensive degeneracy toward an ordered ground state and, in some cases, the onset of multiferroicity. Here we present a minimal classical model that illustrates the converse phenomenon, which we term ``magnetic self-frustration''. Monte Carlo simulations reveal that a kagomé lattice with trivial magnetic interactions -- namely, nearest-neighbor Ising ferromagnetism -- undergoes a magnetostructural transition into a breathing-like phase, characterized by irregular bond dimerization along the three kagomé directions. Structurally, the equilateral triangles belonging to one of the two kagomé sublattices spontaneously distort, expanding into isosceles triangles. An analysis to first order in the magnetoelastic coupling constant $α$ shows that the shape of these triangles is remarkably robust. Acting like rigid building blocks in a puzzle, their vertices determine the geometry of the second sublattice, giving rise to contracted ferromagnetic triangles with a variety of shapes. The magnetic sector can be mapped onto an effective antiferromagnetic triangular lattice, which remains disordered down to low temperatures and retains a finite residual entropy of one third of that of Wannier. This self-frustrated phase takes place at intermediate values of $α$, separating the conventional undistorted ferromagnetic phase at weak coupling from a strongly coupled ordered phase characterized by a regular dimerized up-up-down-down antiferromagnetic pattern along the three kagomé directions, built from ferromagnetic triangles and hexagons.
title Magnetic self-frustration from spontaneous structural distortion
topic Strongly Correlated Electrons
url https://arxiv.org/abs/2606.00339