Thermodynamic properties of the periodic nonuniform spin-12 isotropic XY chains in a transverse field

Oleg Derzhko, Johannes Richter and Zaburannyi, Oles’

Physica A: Statistical Mechanics and its Applications, 2000, vol. 282, issue 3, 495-524

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-12 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 nonrandom/random field on the spin-Peierls instability with respect to dimerization.

Keywords: Spin-12XY chain; Periodic nonuniformity; Diagonal Lorentzian disorder; Density of states; Thermodynamics; Spin-Peierls dimerization (search for similar items in EconPapers)
Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:282:y:2000:i:3:p:495-524

DOI: 10.1016/S0378-4371(00)00084-4

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