Quantum phase transitions and thermodynamics of quantum antiferromagnets with competing interactions

Abstract

We study the isotropic Heisenberg chain with nearest and next-nearest neighbour interactions. The ground state phase diagram is constructed in dependence on the additonal interactions and an external magnetic field. The thermodynamics is studied by use of finite sets of non-linear integral equations resulting from integrabiliy. The equations are solved numerically and analytically in suitable limiting cases. We find second and first order transition lines. The exponents of the low temperature asymptotics at the phase transitions are determined.

13 pages, 16 figures

References in corpus (6)

• Thermodynamics of the Anisotropic Spin-1/2 Heisenberg Chain and Related Quantum Chains
• The thermal conductivity of the spin-1/2 XXZ chain at arbitrary temperature
• Spinons in Magnetic Chains of Arbitrary Spins at Finite Temperatures
• Perturbation theories for the S=1/2 spin ladder with four-spin ring exchange
• Integrable Magnetic Model of Two Chains Coupled by Four-Body Interactions
• A generalized spin ladder in a magnetic field

Cited by in corpus (9)

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• Yang-Baxter integrable Lindblad equations
• Short-distance thermal correlations in the massive XXZ chain
• Dynamic properties of the spin-1/2 XY chain with three-site interactions
• Exact description of the magnetoelectric effect in the spin-1/2 XXZ-chain with Dzyaloshinskii-Moriya interaction
• On the physical part of the factorized correlation functions of the XXZ chain
• Magnetocaloric effect in the spin-$1/2$ chain with competing interactions
• Thermodynamics of quantum spin chains with competing interactions
• Exact thermodynamics and phase diagram of integrable t-J model with chiral interaction