Ising Spin Glass in a Transverse Magnetic Field

TL;DR

This paper investigates the phase diagram of a three-dimensional quantum Ising spin glass in a transverse magnetic field, revealing a finite slope at zero temperature and aligning well with experimental data, emphasizing the importance of short-range interactions.

Contribution

It provides a detailed analysis of the phase diagram using Renormalisation Group methods, highlighting differences from pure systems and supporting a short-range interaction model.

Findings

Finite slope near T=0 in phase diagram

Good agreement with experimental data for LiHoYF4

Supports short-range interaction model over SK model

Abstract

We study the three-dimensional quantum Ising spin glass in a transverse magnetic field following the evolution of the bond probability distribution under Renormalisation Group transformations. The phase diagram (critical temperature $T_c$ {\em vs} transverse field $\Gamma$) we obtain shows a finite slope near $T=0$, in contrast with the infinite slope for the pure case. Our results compare very well with the experimental data recently obtained for the dipolar Ising spin glass LiHo$_{0.167}$Y$_{0.833}$F$_4$, in a transverse field. This indicates that this system is more apropriately described by a model with short range interactions than by an equivalent Sherrington-Kirkpatrick model in a transverse field.