Stability of the Parisi solution for Heisenberg spin glasses

Stability of the Parisi solution for Heisenberg spin glasses

Mean field theory for Heisenberg spin glasses

2014 The infinite-ranged spin glass model is studied in the general case of m-component spins. Results for the magnetization laws, the shape of the phase diagram, the nature of the transitions are presented. J. Physique LETTRES 42 (1981) L-103 L-106 1 PI MARS 1981, Classification Physics Abstracts 05.50 75.50K The infinite-ranged model [1], introduced by D. Sherrington and S. Kirkpatrick (SK), ...

Parisi function q(x) for spin glasses near Tc

Propagation Modes in Heisenberg Spin Glasses

Spin glasses is a fascinating field, from which a variety of theoretical models and concepts were invented. As an emergent state from the random magnetic system, it defers from other statistical systems in several ways. In particular, the quenched variables prevent the system to be ergodic, and the competitive interactions gives rise to non-trivial degeneracies of the ground states as well as t...

Stability of the Mezard-Parisi solution for random manifolds

The eigenvalues of the Hessian associated with random manifolds are constructed for the general case of R steps of replica symmetry breaking. For the Parisi limit R → ∞ (continuum replica symmetry breaking) which is relevant for the manifold dimension D < 2, they are shown to be non negative. Resumé Les valeurs propres de la Hessienne, associée avec une varieté aleatoire, sont construites dans ...