The quantum p-spin glass model: a user manual for holographers

The Quantum Spherical p-Spin-Glass Model

We study a quantum extension of the spherical p-spin-glass model using the imaginary-time replica formalism. We solve the model numerically and we discuss two analytical approximation schemes that capture most of the features of the solution. The phase diagram and the physical properties of the system are determined in two ways: by imposing the usual conditions of thermodynamic equilibrium and ...

1 A p - Spin Interaction Ashkin - Teller Spin - Glass Model

A p-spin interaction Ashkin-Teller spin glass, with three independent Gaussian probability distributions for the exchange interactions, is studied by means of the replica method. A simple phase diagram is obtained within the replica-symmetric approximation , presenting an instability of the paramagnetic solution at low temperatures. The replica-symmetry-breaking procedure is implemented and a r...

A user ’ s manual for miRDeep - P

Fragile-glass behavior of a short-range p-spin model.

We propose a short-range generalization of the p-spin interaction spin-glass model. The model is well suited to test the idea that an entropy collapse is at the bottom line of the dynamical singularity encountered in structural glasses. The model is studied in three dimensions through Monte Carlo simulations, which put in evidence fragile glass behavior with stretched exponential relaxation and...

Dynamical solutions of a quantum Heisenberg spin glass model

Abstract. We consider quantum-dynamical phenomena in the SU(2), S = 1/2 infinite-range quantum Heisenberg spin glass. For a fermionic generalization of the model we formulate generic dynamical selfconsistency equations. Using the Popov-Fedotov trick to eliminate contributions of the non-magnetic fermionic states we study in particular the isotropic model variant on the spin space. Two complemen...