Geometric Spin Rotation in Triangular Antiferromagnets

Fuente: arXiv
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Autori principali: Adamyan, Grigor, Pradenas, Bastian, Ivanov, Boris, Tchernyshyov, Oleg
Natura: Preprint
Pubblicazione: 2026
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author Adamyan, Grigor
Pradenas, Bastian
Ivanov, Boris
Tchernyshyov, Oleg
author_facet Adamyan, Grigor
Pradenas, Bastian
Ivanov, Boris
Tchernyshyov, Oleg
contents We describe a geometric phenomenon in which a traveling wave made of degenerate Goldstone modes leaves behind a transformed ground state. In a triangular Heisenberg antiferromagnet, a pulse of circularly polarized spin waves rotates the spins within their plane. An exact solution of the nonlinear equations of motion demonstrates that the accumulated rotation is a geometric phase related to parallel transport of the order parameter. We point out a curious analogy between the motion of the magnetic order parameter and that of a wobbling coin. This phenomenon opens a new route for controlling antiferromagnetic order by spin waves and may extend to other frustrated magnets as well as other physical systems with noncommuting broken-symmetry generators.
format Preprint
id arxiv_https___arxiv_org_abs_2601_07914
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Geometric Spin Rotation in Triangular Antiferromagnets
Adamyan, Grigor
Pradenas, Bastian
Ivanov, Boris
Tchernyshyov, Oleg
Strongly Correlated Electrons
Pattern Formation and Solitons
We describe a geometric phenomenon in which a traveling wave made of degenerate Goldstone modes leaves behind a transformed ground state. In a triangular Heisenberg antiferromagnet, a pulse of circularly polarized spin waves rotates the spins within their plane. An exact solution of the nonlinear equations of motion demonstrates that the accumulated rotation is a geometric phase related to parallel transport of the order parameter. We point out a curious analogy between the motion of the magnetic order parameter and that of a wobbling coin. This phenomenon opens a new route for controlling antiferromagnetic order by spin waves and may extend to other frustrated magnets as well as other physical systems with noncommuting broken-symmetry generators.
title Geometric Spin Rotation in Triangular Antiferromagnets
topic Strongly Correlated Electrons
Pattern Formation and Solitons
url https://arxiv.org/abs/2601.07914