Quantum fluctuations in two-dimensional altermagnets

Fuente: arXiv
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Autori principali: Cichutek, Niklas, Kopietz, Peter, Rückriegel, Andreas
Natura: Preprint
Pubblicazione: 2025
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author Cichutek, Niklas
Kopietz, Peter
Rückriegel, Andreas
author_facet Cichutek, Niklas
Kopietz, Peter
Rückriegel, Andreas
contents The magnetic properties of two-dimensional altermagnets can be obtained from a square lattice Heisenberg model with antiferromagetic nearest neighbor interaction and two types of next-nearest neighbor interactions arranged in a checkerboard pattern. Using nonlinear spin-wave theory we calculate for this model the corrections to the renormalized magnon spectrum and the staggered magnetization to first order in the inverse spin quantum number $1/S$. We also show that to order $1/S^2$ the ground state energy is not sensitive to the component of the interaction which is responsible for altermagnetism. At the $Γ$-point the $1/S$-correction to the magnon dispersion vanishes so that quantum fluctuations do not induce a gap in the magnon spectrum of altermagnets, as expected by Goldstone's theorem. We extract the leading $1/S$-corrections to the spin-wave velocity and the effective mass characterizing the curvature of the magnon dispersion in altermagnets.
format Preprint
id arxiv_https___arxiv_org_abs_2507_11218
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Quantum fluctuations in two-dimensional altermagnets
Cichutek, Niklas
Kopietz, Peter
Rückriegel, Andreas
Strongly Correlated Electrons
Mesoscale and Nanoscale Physics
The magnetic properties of two-dimensional altermagnets can be obtained from a square lattice Heisenberg model with antiferromagetic nearest neighbor interaction and two types of next-nearest neighbor interactions arranged in a checkerboard pattern. Using nonlinear spin-wave theory we calculate for this model the corrections to the renormalized magnon spectrum and the staggered magnetization to first order in the inverse spin quantum number $1/S$. We also show that to order $1/S^2$ the ground state energy is not sensitive to the component of the interaction which is responsible for altermagnetism. At the $Γ$-point the $1/S$-correction to the magnon dispersion vanishes so that quantum fluctuations do not induce a gap in the magnon spectrum of altermagnets, as expected by Goldstone's theorem. We extract the leading $1/S$-corrections to the spin-wave velocity and the effective mass characterizing the curvature of the magnon dispersion in altermagnets.
title Quantum fluctuations in two-dimensional altermagnets
topic Strongly Correlated Electrons
Mesoscale and Nanoscale Physics
url https://arxiv.org/abs/2507.11218