Thermodynamics of quantum spin chains with competing interactions

Abstract

We consider integrable quantum spin chains with competing interactions. We apply the quantum transfer matrix approach to these spin chains. This allowed us to derive a set of non-linear integral equations for the thermodynamics of these spin chains. We provide numerical solution of these integral equations for the entropy as function of magnetic field, temperature and the coupling constant. This allow us to assess, at low but finite temperature, the picture describing the ground state diagram for high spin chain and longer range interchain interactions.

21 pages, 3 figures

References in corpus (6)

• Algebraic Bethe Ansatz for U(1) Invariant Integrable Models: The Method and General Results
• Thermodynamics of antiferromagnetic alternating spin chains
• Quantum phase transitions and thermodynamics of quantum antiferromagnets with competing interactions
• Magnetocaloric effect in integrable spin-s chains
• Thermodynamic Bethe Ansatz for the Spin-1/2 Staggered XXZ- Model
• The thermal conductivity of alternating spin chains

Cited by in corpus (4)

• Magnetocaloric effect in the spin-$1/2$ chain with competing interactions
• Exact solution of a anisotropic $J_1-J_2$ spin chain with antiperiodic boundary condition
• Exact solution of an integrable anisotropic $J_1-J_2$ spin chain model
• Exact thermodynamics and phase diagram of integrable t-J model with chiral interaction