Thermal and magnetic properties of integrable spin-1 and spin-3/2 chains with applications to real compounds

Abstract

The ground state and thermodynamic properties of spin-1 and spin-3/2 chains are investigated via exactly solved su(3) and su(4) models with physically motivated chemical potential terms. The analysis involves the Thermodynamic Bethe Ansatz and the High Temperature Expansion (HTE) methods. For the spin-1 chain with large single-ion anisotropy, a gapped phase occurs which is significantly different from the valence-bond-solid Haldane phase. The theoretical curves for the magnetization, susceptibility and specific heat are favourably compared with experimental data for a number of spin-1 chain compounds. For the spin-3/2 chain a degenerate gapped phase exists starting at zero external magnetic field. A middle magnetization plateau can be triggered by the single-ion anisotropy term. Overall, our results lend further weight to the applicability of integrable models to the physics of low-dimensional quantum spin systems. They also highlight the utility of the exact HTE method.

38 pages, 15 figures

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Cited by in corpus (11)

• Fermi gases in one dimension: From Bethe Ansatz to experiments
• Speck of Chaos
• Quantum phase transitions driven by rhombic-type single-ion anisotropy in the S=1 Haldane chain
• Nonlinear Integral Equations and high temperature expansion for the $U_q(\widehat{sl}(r+1|s+1))$ Perk-Schultz Model
• Exactly solvable models in atomic and molecular physics
• Topological Basis Associated with B-M-W algebra: Two Spin-1/2 Realization
• Nonlinear Integral Equations for Thermodynamics of the U_{q}(\hat{sl(r+1)}) Perk-Schultz Model
• Magnetocaloric effect in integrable spin-s chains
• Electronic structure and magnetic properties of the strong-rung spin-1 ladder compound Rb${}_3$Ni${}_2$(NO${}_3$)${}_7$
• Scattering matrix for a general gl(2) spin chain
• Thermodynamical limit of general gl(N) spin chains II: Excited states and energies