Semiclassical approach to the thermodynamics of spin chains

Abstract

Using the PQSCHA semiclassical method, we evaluate thermodynamic quantities of one-dimensional Heisenberg ferro- and antiferromagnets. Since the PQSCHA reduces their evaluation to classical-like calculations, we take advantage of Fisher's exact solution to get all results in an almost fully analytical way. Explicitly considered here are the specific heat, the correlations length and susceptibility. Good agreement with Monte Carlo simulations is found for S>1 antiferromagnets, showing that the relevance of the topological terms and of the Haldane gap is significant only for the lowest spin values and temperatures.

4 pages, 7 figures

References in corpus (5)

• The spin-1/2 Heisenberg chain: thermodynamics, quantum criticality and spin-Peierls exponents
• Thermodynamics of quantum Heisenberg spin chains
• Monte Carlo Study of Correlations in Quantum Spin Chains at Non-Zero Temperature
• Cumulant expansion for systems with large spins
• Quasiclassical Hamiltonians for large-spin systems

Cited by in corpus (6)

• Anomalous spin diffusion in one-dimensional antiferromagnets
• Thermodynamics of S>=1 ferromagnetic Heisenberg chains with uniaxial single-ion anisotropy
• Getting through to a qubit by magnetic solitons
• Low-Temperature Properties of Ferromagnetic Spin Chains in a Magnetic Field
• Thermodynamics of Ferromagnetic Spin Chains in a Magnetic Field: Impact of the Spin-Wave Interaction
• Single-qubit remote manipulation by magnetic solitons