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

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

2000-02-09

arxiv.org/abs/cond-mat/0002136v1

Physica A, 2000, 282, 3-4, p.495-524.

Physics

Condensed Matter

latex, 20 figures

Scientific paper

10.1016/S0378-4371(00)00084-4

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.

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