Domain-Wall Free-Energy of Spin Glass Models:Numerical Method and Boundary Conditions

Details Domain-Wall Free-Energy of Spin Glass Models:Numerical Method and Boundary Conditions Domain-Wall Free-Energy of Spin Glass Models:Numerical Method and Boundary Conditions

1999-03-26

arxiv.org/abs/cond-mat/9903391v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

9 pages Latex(Revtex), 8 eps figures

Scientific paper

10.1103/PhysRevE.60.3606

An efficient Monte Carlo method is extended to evaluate directly domain-wall free-energy for randomly frustrated spin systems. Using the method, critical phenomena of spin-glass phase transition is investigated in 4d +/-J Ising model under the replica boundary condition. Our values of the critical temperature and exponent, obtained by finite-size scaling, are in good agreement with those of the standard MC and the series expansion studies. In addition, two exponents, the stiffness exponent and the fractal dimension of the domain wall, which characterize the ordered phase, are obtained. The latter value is larger than d-1, indicating that the domain wall is really rough in the 4d Ising spin glass phase.

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