STATIC CHAOS AND SCALING BEHAVIOR IN THE SPIN-GLASS PHASE

Article

关键词: FINITE-SIZE CORRECTIONS;    ORDER PARAMETER;    FIELD-THEORY;    MODEL;    EQUILIBRIUM;    DYNAMICS;    FLUCTUATIONS;    BREAKING;   

DOI  :  10.1103/PhysRevB.50.6844

来源: SCIE

【 摘 要 】

We discuss the problem of static chaos in spin glasses. In the case of magnetic-field perturbation, we propose a scaling theory for the spin-glass phase. Using the mean-field approach we argue that some pure states are suppressed by the magnetic field and their free-energy cost is determined by the finite-temperature fixed-point exponents. In this framework, numerical results suggest that mean-field chaos exponents are probably exact in finite dimensions. If we use the droplet approach, numerical results suggest that the zero-temperature fixed-point exponent theta is very close to (d - 3)/2. In both approaches d = 3 is the lower critical dimension in agreement with recent numerical simulations.

【 授权许可】

Free