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Journal of Physics A Mathematical and General

Quantum Ising model on a quasiperiodic lattice

Ferenc Iglói

Published Sep 21, 1988• 36 citations
Publisher

Abstract

The author considers a quantum Ising model where the exchange couplings and the transverse fields follow a quasiperiodic two-valued sequence. The model is shown to exhibit an Ising-like critical point. The spectrum of the critical Hamiltonian is in accordance with the predictions of conformal theory.
DOI
10.1088/0305-4470/21/18/008

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A quantum Ising spin chain with two-valued nearest-neighbour couplings arranged in a quasi-periodic sequence is considered, in the presence of a uniform transverse field. The scaling properties of the energy spectrum of the model are analytically determined. The system can undergo a phase transition both when the two couplings have equal sign (ferro- or antiferromagnetic couplings) and when they have opposite sign (frustrated system). The critical point is explicitly obtained; the critical behaviour is shown to be the same as in the periodic case.
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