Static chaos and scaling behaviour in the spin-glass phase

We discuss the problem of static chaos in spin glasses. In the case of magnetic-field perturbations, we propose a scaling theory for the spin-glass phase. Using the mean-field approach we argue that sorne pure states are suppressed by the magnetic field and their free-energy cost is determined by th...

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Detalles Bibliográficos
Autor: Ritort Farran, Fèlix
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:1994
País:España
Institución:Universidad de Barcelona
Repositorio:Dipòsit Digital de la UB
OAI Identifier:oai:diposit.ub.edu:2445/10670
Acceso en línea:https://hdl.handle.net/2445/10670
Access Level:acceso abierto
Palabra clave:Vidres de spin
Magnetisme
Magnetism
Spin glasses
Descripción
Sumario:We discuss the problem of static chaos in spin glasses. In the case of magnetic-field perturbations, we propose a scaling theory for the spin-glass phase. Using the mean-field approach we argue that sorne pure states are suppressed by the magnetic field and their free-energy cost is determined by the finite­temperature 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 0 is very close to ( d - 3) /2. In both approaches d = 3 is the lower critica! dimension in agreement with recent numerical simulations.