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Random bond Ising chain in a transverse magnetic field: A finite-size scaling analysis

A. Crisanti·H. Rieger
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Abstract

We investigate the zero-temperature quantum phase transition of the random bond Ising chain in a transverse magnetic field. Its critical properties are identical to those of the McCoy-Wu model, which is a classical Ising model in two dimensions with layered disorder. The latter is studied via Monte Carlo simulations and transfer matrix calculations and the critical exponents are determined with a finite-size scaling analysis. The magnetization and susceptibility obey conventional rather than activated scaling. We observe that the order parameter-- and correlation function--probability distribution show a nontrivial scaling near the critical point which implies a hierarchy of critical exponents associated with the critical behavior of the generalized correlation lengths.

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A. Crisanti, H. Rieger. 1994-06-01. Random bond Ising chain in a transverse magnetic field: A finite-size scaling analysis. https://doi.org/10.1007/bf02183154

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