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

Abstract

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.

4 pages, 5 figures

References in corpus (2)

• Numerical studies of the two- and three-dimensional gauge glass at low temperature
• On the existence of a finite-temperature transition in the two-dimensional gauge glass

Cited by in corpus (3)

• Finite size corrections in the Sherrington-Kirkpatrick model
• Critical properties of the three- and four-dimensional gauge glass
• Numerical study of ground state energy fluctuations in spin glasses