Physics – Condensed Matter
Scientific paper
2000-12-06
Journal of Physics A: Mathematical and General, Volume 33, Number 48, 8 December 2000, p. 8627-8634
Physics
Condensed Matter
11 pages, latex, 4 figures
Scientific paper
10.1088/0305-4470/33/48/303
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.
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