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.

12 pages, 12 figures

References in corpus (9)

• Thermodynamics of the Spin Luttinger-Liquid in a Model Ladder Material
• Universal temperature dependence of the magnetization of gapped spin chains
• A direct measurement of the Bose-Einstein Condensation universality class in NiCl${}_2$-4SC(NH${}_2$)${}_2$ at ultra-low temperatures
• Thermal transport of the XXZ chain in a magnetic field
• Quantum Phase Diagram and Excitations for the One-Dimensional S=1 Heisenberg Antiferromagnet with Single-Ion Anisotropy
• Low-Temperature Heat Transport in the Low-Dimensional Quantum Magnet NiCl_{2}-4SC(NH_{2})_{2}
• Character of magnetic excitations in a quasi-one-dimensional antiferromagnet near the quantum critical points: Impact on magneto-acoustic properties
• Spin Dynamics of $NiC{l}_2-4SC(N{H}_2{)}_2$ in the Field-Induced Ordered Phase
• On the theory of microwave absorption by the spin-1/2 Heisenberg-Ising magnet

Cited by in corpus (5)

• Accuracy of the finite-temperature Lanczos method compared to simple typicality-based estimates
• 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
• Dressed excitations, thermodynamics and relaxation in the 1D XXZ Heisenberg model
• Harnessing spin-qubit decoherence to probe strongly-interacting quantum systems