Melting transition of an Ising glass driven by magnetic field

TL;DR

This paper investigates the quantum critical behavior of the Ising glass in a magnetic field, identifying crossover regimes and an unexpectedly small energy scale relevant to metallic glasses.

Contribution

It combines Landau theory and exact diagonalization to analyze the spin glass to paramagnet transition in a magnetic field, revealing new insights into critical regions and energy scales.

Findings

Small energy scale on the disordered side of the critical line

Identification of crossover regimes near the transition

Potential relevance to metallic glass experiments

Abstract

The quantum critical behavior of the Ising glass in a magnetic field is investigated. We focus on the spin glass to paramagnet transition of the transverse degrees of freedom in the presence of finite longitudinal field. We use two complementary techniques, the Landau theory close to the T=0 transition and the exact diagonalization method for finite systems. This allows us to estimate the size of the critical region and characterize various crossover regimes. An unexpectedly small energy scale on the disordered side of the critical line is found, and its possible relevance to experiments on metallic glasses is briefly discussed.