On the theory of microwave absorption by the spin-1/2 Heisenberg-Ising magnet

Abstract

We analyze the problem of microwave absorption by the Heisenberg-Ising magnet in terms of shifted moments of the imaginary part of the dynamical susceptibility. When both, the Zeeman field and the wave vector of the incident microwave, are parallel to the anisotropy axis, the first four moments determine the shift of the resonance frequency and the line width in a situation where the frequency is varied for fixed Zeeman field. For the one-dimensional model we can calculate the moments exactly. This provides exact data for the resonance shift and the line width at arbitrary temperatures and magnetic fields. In current ESR experiments the Zeeman field is varied for fixed frequency. We show how in this situation the moments give perturbative results for the resonance shift and for the integrated intensity at small anisotropy as well as an explicit formula connecting the line width with the anisotropy parameter in the high-temperature limit.

arXiv comment4 pages

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Cited by in corpus (8)

• Electron Spin Resonance in Quasi-One-Dimensional Quantum Antiferromagnets: Relevance of Weak Interchain Interactions
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• Effective S=1/2 description of the S=1 chain with strong easy plane anisotropy
• On the absorption of microwaves by the one-dimensional spin-1/2 Heisenberg-Ising magnet
• Divide and conquer the Hilbert space of translation-symmetric spin systems
• Anisotropic magnetic interactions and spin dynamics in the spin-chain compound Cu(py)${}_2$Br${}_2$: An experimental and theoretical study
• Electron spin resonance shifts in S=1 antiferromagnetic chains
• Introduction to Solid State Physics