Decay of spin helices in XXZ quantum spin chains with single-ion anisotropy

Fuente: arXiv
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Autori principali: Lange, Florian, Göhmann, Frank, Wellein, Gerhard, Fehske, Holger
Natura: Preprint
Pubblicazione: 2025
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author Lange, Florian
Göhmann, Frank
Wellein, Gerhard
Fehske, Holger
author_facet Lange, Florian
Göhmann, Frank
Wellein, Gerhard
Fehske, Holger
contents Long-lived spin-helix states facilitate the study of non-equilibrium dynamics in quantum magnets. We consider the decay of transverse spin-helices in antiferromagnetic spin-$S$ XXZ chains with single-ion anisostropy. The spin-helix decay is observable in the time evolution of the local magnetization that we calculate numerically for the system in the thermodynamic limit using infinite time-evolving block decimation simulations. Although the single-ion anisotropy prevents helix states from being eigenstates of the Hamiltonian, they still can be long-lived for appropriately chosen wave numbers. In case of an easy-axis exchange anisotropy the single-ion anisotropy may even stabilize the helices. Within a spin-wave approximation, we obtain a condition giving an estimate for the most stable wave number $Q$ that agrees qualitatively with our numerical results.
format Preprint
id arxiv_https___arxiv_org_abs_2512_08421
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Decay of spin helices in XXZ quantum spin chains with single-ion anisotropy
Lange, Florian
Göhmann, Frank
Wellein, Gerhard
Fehske, Holger
Strongly Correlated Electrons
Quantum Physics
Long-lived spin-helix states facilitate the study of non-equilibrium dynamics in quantum magnets. We consider the decay of transverse spin-helices in antiferromagnetic spin-$S$ XXZ chains with single-ion anisostropy. The spin-helix decay is observable in the time evolution of the local magnetization that we calculate numerically for the system in the thermodynamic limit using infinite time-evolving block decimation simulations. Although the single-ion anisotropy prevents helix states from being eigenstates of the Hamiltonian, they still can be long-lived for appropriately chosen wave numbers. In case of an easy-axis exchange anisotropy the single-ion anisotropy may even stabilize the helices. Within a spin-wave approximation, we obtain a condition giving an estimate for the most stable wave number $Q$ that agrees qualitatively with our numerical results.
title Decay of spin helices in XXZ quantum spin chains with single-ion anisotropy
topic Strongly Correlated Electrons
Quantum Physics
url https://arxiv.org/abs/2512.08421