Thermodynamics of antiferromagnetic alternating spin chains

Abstract

We consider integrable quantum spin chains with alternating spins (S_1,S_2). We derive a finite set of non-linear integral equations for the thermodynamics of these models by use of the quantum transfer matrix approach. Numerical solutions of the integral equations are provided for quantities like specific heat, magnetic susceptibility and in the case S_1=S_2 for the thermal Drude weight. At low temperatures one class of models shows finite magnetization and the other class presents antiferromagnetic behaviour. The thermal Drude weight behaves linearly on T at low temperatures and is proportional to the central charge c of the system. Quite generally, we observe residual entropy for S_1\neq S_2.

37 pages, 4 figures

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Cited by in corpus (12)

• Exact description of the magnetoelectric effect in the spin-1/2 XXZ-chain with Dzyaloshinskii-Moriya interaction
• Diamond chains with multiple-spin exchange interactions
• Phase diagram of the alternating-spin Heisenberg chain with extra isotropic three-body exchange interactions
• Correlation functions of the integrable spin-s chain
• Magnetocaloric effect in integrable spin-s chains
• Thermodynamics of quantum spin chains with competing interactions
• T-W relation and free energy of the Heisenberg chain at a finite temperature
• The thermal conductivity of alternating spin chains
• Finite size and finite temperature studies of the $osp(1|2)$ spin chain
• Heisenberg spin chains with additional isotropic three-site exchange interactions
• Exact thermodynamics and phase diagram of integrable t-J model with chiral interaction
• Canonical formulation for the thermodynamics of $s{l}_n$-invariant integrable spin chains