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.

arXiv comment4 pages, 5 figures

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Cited by in corpus (4)

• Finite size corrections in the Sherrington-Kirkpatrick model
• Critical properties of the three- and four-dimensional gauge glass
• Numerical estimate of finite size corrections to the free energy of the SK model using Guerra--Toninelli interpolation
• Numerical study of ground state energy fluctuations in spin glasses