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

Oleg Derzhko
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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.

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Oleg Derzhko. 2000-12-06. The ground state properties of the spin-1/2 transverse Ising chain with periodically varying bonds and fields. https://doi.org/10.1088/0305-4470%2F33%2F48%2F303

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