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Universal, finite temperature, crossover functions of the quantum transition in the Ising chain in a transverse field

Subir Sachdev
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Abstract

We consider finite temperature properties of the Ising chain in a transverse field in the vicinity of its zero temperature, second order quantum phase transition. New universal crossover functions for static and dynamic correlators of the ``spin'' operator are obtained. The static results follow from an early lattice computation of McCoy, and a method of analytic continuation in the space of coupling constants. The dynamic results are in the ``renormalized classical'' region and follow from a proposed mapping of the quantum dynamics to the Glauber dynamics of a classical Ising chain.

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Subir Sachdev. 1995-11-27. Universal, finite temperature, crossover functions of the quantum transition in the Ising chain in a transverse field. https://doi.org/10.1016/0550-3213(95)00657-5

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