Size dependence of the internal energy in Ising and vector spin glasses

Details Size dependence of the internal energy in Ising and vector spin glasses Size dependence of the internal energy in Ising and vector spin glasses

2003-09-11

arxiv.org/abs/cond-mat/0309278v2

Phys. Rev. B 68, 180402(R) (2003)

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages, 5 figures

Scientific paper

10.1103/PhysRevB.68.180402

We study numerically the scaling correction to the internal energy per spin as a function of system size and temperature in a variety of Ising and vector spin glasses. From a standard scaling analysis we estimate the effective size correction exponent x at each temperature. For each system with a finite ordering temperature, as temperature is increased from zero, x initially decreases regularly until it goes through a minimum at a temperature close to the critical temperature, and then increases strongly. The behavior of the exponent x at and below the critical temperature is more complex than suggested by the model for the size correction that relates x to the domain-wall stiffness exponent.

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