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Modern Physics Letters A

RIGOROUS RESULTS FOR THE QUANTUM PHASE TRANSITIONS IN A DIMERIZED S = 1 ISING LATTICE

Haina Wu, Zhihua Yang, Jianhui Dai, He-Ping Ying

Published Mar 28, 2007• 1 citation
Publisher

Abstract

We examine the ground state properties of a dimerized ferromagnetic S = 1 Ising chain with single-ion crystal fields by mapping the model onto the dimerized S = 1/2 Ising chain with transverse fields. We show that the system exhibits a series of Ising transitions depending on the dimerization strength of the crystal fields, while the critical points can be determined exactly.

DOI
10.1142/s0217732307023328

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We examine the ground state properties of the s=12s=\frac{1}{2}s=21​ transverse Ising chain with regularly alternating bonds and fields, using exact analytical results and exact numerical data for long (up to N=900)N=900)N=900) and short (N=20)(N=20)(N=20) chains. For a given period of alternation the system may exhibit a series of quantum phase transitions, where the number of transitions depends on the concrete set of the parameters of the Hamiltonian. The critical behavior for the nonuniform and uniform chains is the same.
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Exotic criticality in the dimerized spin-1 XXZXXZXXZ chain with single-ion anisotropy
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