On spin glass fluctuations

On spin glass fluctuations

Fluctuations in finite dimensional spin-glass dynamics

Dynamic fluctuations in a Short-Range Spin Glass model

Quantum Fluctuations of a Nearly Critical Heisenberg Spin Glass

We describe the interplay of quantum and thermal fluctuations in the infinite-range Heisenberg spin glass. This model is generalized to SU(N) symmetry, and we describe the phase diagram as a function of the spin S and the temperature T . The model is solved in the large N limit and certain universal critical properties are shown to hold to all orders in 1/N . For large S, the ground state is a ...

Fluctuations and Thermodynamic Variables in Mean Field Spin Glass Modelsz

We present two rigorous results on the Sherrington-Kirkpatrick mean eld model for spin glasses, proven by elementary methods, based on properties of uctuations, with respect to the external quenched noise, of the thermodynamic variables and order parameters. The rst result gives the uniform convergence of the quenched average of the free energy in the thermodynamic limit to its annealed approxi...