Oleg Derzhko 2000 J. Phys. A: Math. Gen. 33 8627 doi:10.1088/0305-4470/33/48/303
Oleg Derzhko1,2
Show affiliationsUsing continued fractions we study the ground state properties of the spin-½ Ising chain in a transverse field with periodically varying interaction strengths and external fields. We consider in detail the chain having a period-2 modulation of the interaction strengths and compare the results obtained with those corresponding to the spin-½ 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 versus field dependence caused by the alternation of bonds. Its susceptibility exhibits a logarithmic singularity at a field determined by interaction strengths, and it is stable with respect to spin-Peierls dimerization.
82B30 Statistical thermodynamics (See also 80-XX)
82B20 Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs
Issue 48 (8 December 2000)
Received 2 May 2000, in final form 26 September 2000
Oleg Derzhko 2000 J. Phys. A: Math. Gen. 33 8627
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