Pair correlation function for spin glasses

Correlation Inequalities for Spin Glasses

We prove a correlation type inequality for spin systems with quenched symmetric random interactions. This gives monotonicity of the pressure with respect to the strength of the interaction for a class of spin glass models. Consequences include existence of the thermodynamic limit for the pressure and bounds on the surface pressure. We also describe other conjectured inequalities for such systems.

Spin and pair density wave glasses

Spontaneous breaking of translational symmetry—known as ‘density wave’ order—is common in nature. However such states are strongly sensitive to impurities or other forms of frozen disorder leading to fascinating glassy phenomena. We analyze impurity effects on a particularly ubiquitous form of broken translation symmetry in solids: a Spin Density Wave (SDW) with spatially modulated magnetic ord...

2 00 6 correlation inequalities for spin glasses

We prove a correlation type inequality for spin systems with quenched symmetric random interactions. This gives monotonicity of the pressure with respect to the strength of the interaction for a class of spin glass models. Consequences include existence of the thermodynamic limit for the pressure and bounds on the surface pressure. We also describe other conjectured inequalities for such systems.

Parisi function q(x) for spin glasses near Tc

Correlation–function distributions at the Nishimori point of two-dimensional Ising spin glasses

The multicritical behaviour at the Nishimori point of twodimensional Ising spin glasses is investigated by using numerical transfer-matrix methods to calculate probability distributions P (C) and associated moments of spin-spin correlation functions C on strips. The angular dependence of the shape of correlation function distributions P (C) provides a test of how well they obey predictions of c...