Quantum phase transition in spin glasses with multi-spin interactions

TL;DR

This paper investigates the phase diagram of a quantum p-spin glass model, comparing spherical and Ising versions, revealing similar phase structures and the effects of approximation methods on reentrance phenomena.

Contribution

It provides a detailed analysis of the quantum p-spin glass model using both spherical and Ising formulations, highlighting the impact of static approximation and numerical methods.

Findings

Reentrant behavior observed with static approximation

Reentrance disappears when imaginary time dependence is included

Numerical phase boundary analysis confirms phase diagram features

Abstract

We examine the phase diagram of the $p$-interaction spin glass model in a transverse field. We consider a spherical version of the model and compare with results obtained in the Ising case. The analysis of the spherical model, with and without quantization, reveals a phase diagram very similar to that obtained in the Ising case. In particular, using the static approximation, reentrance is observed at low temperatures in both the quantum spherical and Ising models. This is an artifact of the approximation and disappears when the imaginary time dependence of the order parameter is taken into account. The resulting phase diagram is checked by accurate numerical investigation of the phase boundaries.