The ground state properties of the spin-1/2 transverse Ising chain with periodically varying bonds and fields

Abstract

Using continued fractions we study the ground state properties of the spin-1/2 Ising chain in a transverse field with periodically varying interaction strengths and external fields. We consider in detail the chain having the period of modulation of interactions equals 2 and compare the results obtained with those corresponding to the spin-1/2 isotropic XY chain in a transverse field. In contrast to the behaviour of the transverse XY chain, the transverse Ising chain does not exhibit a step-like magnetization vs. field dependence caused by the alternation of bonds, its susceptibility exhibits a logarithmic singularity at the field determined by interaction strengths, and it is stable with respect to spin-Peierls dimerization.

11 pages, latex, 4 figures

References in corpus (2)

• Thermodynamic properties of the periodic nonuniform spin-1/2 isotropic XY chains in a transverse field
• The spin-1/2 transverse XX chain with regularly alternating bonds and fields

Cited by in corpus (5)

• Geometric phase and quantum phase transition in an inhomogeneous periodic XY spin-1/2 model
• Regularly alternating spin-1/2 anisotropic XY chains: The ground-state and thermodynamic properties
• Quantum phase transitions in alternating transverse Ising chains: Rigorous analytical and exact numerical results
• Quantum phase transition of nonlocal Ising chain with transverse field in a resonator
• Quantum spin chains with regularly alternating bonds and fields