PMID: 15244672Jul 13, 2004Paper

Regularly alternating spin-1/2 anisotropic XY chains: the ground-state and thermodynamic properties

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Oleg DerzhkoOles' Zaburannyi

Abstract

Using the Jordan-Wigner transformation and continued fractions we calculate rigorously the thermodynamic quantities for the spin-1/2 transverse Ising chain with periodically varying intersite interactions and/or on-site fields. We consider in detail the properties of the chains having a period of the transverse field modulation equal to 3. The regularly alternating transverse Ising chain exhibits several quantum phase transition points, where the number of transition points for a given period of alternation strongly depends on the specific set of the Hamiltonian parameters. The critical behavior in most cases is the same as for the uniform chain. However, for certain sets of the Hamiltonian parameters the critical behavior may be changed and weak singularities in the ground-state quantities appear. Due to the regular alternation of the Hamiltonian parameters the transverse Ising chain may exhibit plateaulike steps in the zero-temperature dependence of the transverse magnetization vs transverse field and many-peak temperature profiles of the specific heat. We compare the ground-state properties of regularly alternating transverse Ising and transverse XX chains and of regularly alternating quantum and classical chains. Making use...Continue Reading

References

Mar 1, 1995·Physical Review. B, Condensed Matter·D S Fisher
Jul 20, 1992·Physical Review Letters·D S Fisher

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Citations

Oct 3, 2019·Physical Review. E·Adalberto D Varizi, Raphael C Drumond

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