| Issue |
EPL
Volume 151, Number 3, August 2025
|
|
|---|---|---|
| Article Number | 36003 | |
| Number of page(s) | 7 | |
| Section | Condensed matter and materials physics | |
| DOI | https://doi.org/10.1209/0295-5075/adedaf | |
| Published online | 21 August 2025 | |
Breakdown of the conventional spin-wave dynamics and its double-constraint modification in the spin-
triangular-prism Heisenberg antiferromagnet
Department of Physics, Hokkaido University - Sapporo 060-0810, Japan
Received: 9 May 2025
Accepted: 9 July 2025
Abstract
Spontaneous magnon decays in an 
Heisenberg antiferromagnet on the equilateral triangular prism are investigated in terms of modified magnon Green's functions. In one dimension, the so-called infrared divergence prevents us from calculating any —whether static or dynamic— structure factor within the conventional spin-wave theory even at zero temperature. The well-known modified spin-wave theory initiated by Takahashi completely fails to treat anharmonicities to cause transverse-to-longitudinal coupling which are quite characteristic of noncollinear antiferromagnets. We propose imposing a double-constraint condition on spin waves to solve all these difficulties and get a full view of the nonlinear spin-wave dynamics in one-dimensional frustrated noncollinear antiferromagnets. We reveal a novel instability of the single-particle spectrum in the absence of any well-defined magnetically ordered ground state.
© 2025 The author(s)
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