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Random quantum Ising chains with competing interactions
2005
Physical Review E
In this paper we discuss the criticality of a quantum Ising spin chain with competing random ferromagnetic and antiferromagnetic couplings. Quantum fluctuations are introduced via random local transverse fields. First we consider the chain with couplings between first and second neighbors only and then generalize the study to a quantum analog of the Viana-Bray model, defined on a small world random lattice. We use the Dasgupta-Ma decimation technique, both analytically and numerically, and
doi:10.1103/physreve.72.066101
pmid:16486004
fatcat:esyqdki45jgljckg7alplmzdni