Effective S=1/2 description of the S=1 chain with strong easy plane anisotropy

Abstract

We present a study of the one-dimensional S=1 antiferromagnetic spin chain with large easy plane anisotropy, with special emphasis on field-induced quantum phase transitions. Temperature and magnetic field dependence of magnetization, specific heat, and thermal conductivity is presented using a combination of numerical methods. In addition, the original S=1 model is mapped into the low-energy effective S=1/2 XXZ Heisenberg chain, a model which is exactly solvable using the Bethe ansatz technique. The effectiveness of the mapping is explored, and we show that all considered quantities are in qualitative, and in some cases quantitative, agreement. The thermal conductivity of the considered S=1 model is found to be strongly influenced by the underlying effective description. Furthermore, we elucidate the low-lying electron spin resonance spectrum, based on a semi--analytical Bethe ansatz calculation of the effective S=1/2 model.

arXiv comment12 pages, 12 figures

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• High-pressure inelastic neutron scattering study of the anisotropic $S=1$ spin chain [Ni(HF${}_2$)(3-Clpyradine)${}_4$]BF${}_4$
• Accuracy of the typicality approach using Chebyshev polynomials
• Anisotropic magnetic interactions and spin dynamics in the spin-chain compound Cu(py)${}_2$Br${}_2$: An experimental and theoretical study
• Light induced magnetization in a spin S=1 easy-plane antiferromagnetic chain
• Driving XXZ spin chains: Magnetic-field and boundary effects
• Effective realization of random magnetic fields in compounds with large single-ion anisotropy
• Large magnetic thermal conductivity induced by frustration in low-dimensional quantum magnets
• Dressed excitations, thermodynamics and relaxation in the 1D XXZ Heisenberg model
• Harnessing spin-qubit decoherence to probe strongly-interacting quantum systems