Ising Spin Glass in a Transverse Magnetic Field

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.

7 pages, RevTeX3, Nota Cientifica PUC-Rio 23/91

Cited by in corpus (7)

• Landau theory of quantum spin glasses of rotors and Ising spins
• Significance of the Hyperfine Interactions in the Phase Diagram of $\mathrm{LiH}{\mathrm{o}}_{\mathrm{x}}{\mathrm{Y}}_{1-\mathrm{x}}{\mathrm{F}}_4$
• Quantum Spin Glasses
• The Ising spin glass in a transverse field. Results of two fermionic models
• Random bond Ising chain in a transverse magnetic field: A finite-size scaling analysis
• Role of Disorder on the Quantum Critical Point of a Model for Heavy Fermions
• Quantum field theory solution for a short-range interacting SO(3) quantum spin-glass