Thermodynamic properties of the periodic nonuniform spin-1/2 isotropic XY chains in a transverse field

Abstract

Using the Jordan-Wigner transformation and the continued-fraction method we calculate exactly the density of states and thermodynamic quantities of the periodic nonuniform spin-1/2 isotropic XY chain in a transverse field. We discuss in detail the changes in the behaviour of the thermodynamic quantities caused by regular nonuniformity. The exact consideration of thermodynamics is extended including a random Lorentzian transverse field. The presented results are used to study the Peierls instability in a quantum spin chain. In particular, we examine the influence of a non-random/random field on the spin-Peierls instability with respect to dimerization.

latex, 20 figures

References in corpus (3)

• Thermodynamic properties of spin-1/2 transverse XY chain with Dzyaloshinskii-Moriya interaction: Exact solution for correlated Lorentzian disorder
• The XY model on the one-dimensional superlattice: static properties
• The spin-1/2 transverse XX chain with regularly alternating bonds and fields

Cited by in corpus (9)

• Regularly alternating spin-1/2 anisotropic XY chains: The ground-state and thermodynamic properties
• Dynamic properties of quantum spin chains: Simple route to complex behavior
• Quantum phase transitions in alternating transverse Ising chains: Rigorous analytical and exact numerical results
• The ground state properties of the spin-1/2 transverse Ising chain with periodically varying bonds and fields
• The isotropic XY model on the inhomogeneous periodic chain
• Local magnetic properties of periodic nonuniform spin-1/2 XX chains
• Spin-1/2 $XX$ chain in a transverse field with regularly alternating $g$-factors: Static and dynamic properties
• Quantum spin chains with regularly alternating bonds and fields
• Thermodynamic properties of the XX model in a chain with a period two and three coupling