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

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

1995-09-25

arxiv.org/abs/cond-mat/9509147v2

Nucl.Phys. B464 (1996) 576-595

Physics

Condensed Matter

substantial re-arrangement of presentation, but no additional results

Scientific paper

10.1016/0550-3213(95)00657-5

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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