Fully-frustrated octahedral antiferromagnets: emergent complexity in external field

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Hauptverfasser: Gubina, A. S., Ziman, T., Zhitomirsky, M. E.
Format: Preprint
Veröffentlicht: 2025
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author Gubina, A. S.
Ziman, T.
Zhitomirsky, M. E.
author_facet Gubina, A. S.
Ziman, T.
Zhitomirsky, M. E.
contents Octahedral antiferromagnets are distinguished by crystal lattices composed of octahedra of magnetic ions. In the fully frustrated case, the Heisenberg Hamiltonian can be represented as a sum of squares of total spins for each octahedral block. We study the fully frustrated spin model for a lattice of edge-shared octahedra, which corresponds to the J1-J2 fcc antiferromagnet with J2/J1 = 1/2. The magnetization process at this strongly frustrated point features a remarkably rich sequence of different magnetic phases that include fractional plateaus at m = 1/3 and 2/3 values of the total magnetization. By performing extensive Monte Carlo simulations we construct the H-T phase diagram of the classical model with eight field-induced states, which acquire stability via the order by disorder mechanism. These antiferromagnetic states have distinct spin configurations of their octahedral blocks. The same spin configurations are also relevant for the fully frustrated corner-shared model bringing an apparent similarity to their field-induced states.
format Preprint
id arxiv_https___arxiv_org_abs_2501_13033
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Fully-frustrated octahedral antiferromagnets: emergent complexity in external field
Gubina, A. S.
Ziman, T.
Zhitomirsky, M. E.
Strongly Correlated Electrons
Statistical Mechanics
Octahedral antiferromagnets are distinguished by crystal lattices composed of octahedra of magnetic ions. In the fully frustrated case, the Heisenberg Hamiltonian can be represented as a sum of squares of total spins for each octahedral block. We study the fully frustrated spin model for a lattice of edge-shared octahedra, which corresponds to the J1-J2 fcc antiferromagnet with J2/J1 = 1/2. The magnetization process at this strongly frustrated point features a remarkably rich sequence of different magnetic phases that include fractional plateaus at m = 1/3 and 2/3 values of the total magnetization. By performing extensive Monte Carlo simulations we construct the H-T phase diagram of the classical model with eight field-induced states, which acquire stability via the order by disorder mechanism. These antiferromagnetic states have distinct spin configurations of their octahedral blocks. The same spin configurations are also relevant for the fully frustrated corner-shared model bringing an apparent similarity to their field-induced states.
title Fully-frustrated octahedral antiferromagnets: emergent complexity in external field
topic Strongly Correlated Electrons
Statistical Mechanics
url https://arxiv.org/abs/2501.13033