From classical to quantum glass

W Wu, B Ellman, TF Rosenbaum, G Aeppli, DH Reich - Physical review letters, 1991 - APS
We study the effects of a transverse magnetic field on the dynamics of the randomly diluted,
dipolar coupled, Ising magnet LiHo 0.167 Y 0.833 F 4. The transverse field mixes the …

Quenching of the nonlinear susceptibility at a T=0 spin glass transition

W Wu, D Bitko, TF Rosenbaum, G Aeppli - Physical review letters, 1993 - APS
Abstract LiHo 0.167 Y 0.833 F 4 is a dilute dipolar-coupled Ising magnet with a spin glass
transition which can be crossed with temperature T (T g= 0.13 K) or with an effective …

Equilibrium behaviour of quantum Ising spin glass

MJ Thill, DA Huse - Physica A: Statistical Mechanics and its Applications, 1995 - Elsevier
A phenomenological theory of the ordered phase of short-range quantum Ising spin glass is
developed in terms of droplet excitations, and presented in detail. These excitations have …

Equilibrium dynamics of infinite-range quantum spin glasses in a field

M Tikhanovskaya, S Sachdev, R Samajdar - PRX Quantum, 2024 - APS
We determine the low-energy spectrum and Parisi replica-symmetry-breaking function for
the spin-glass phase of the quantum Ising model with infinite-range random exchange …

On complexity of the quantum Ising model

S Bravyi, M Hastings - Communications in Mathematical Physics, 2017 - Springer
We study complexity of several problems related to the Transverse field Ising Model (TIM).
First, we consider the problem of estimating the ground state energy known as the Local …

Quantum spin glasses and Sachdev-Ye-Kitaev models

S Sachdev - arxiv preprint arxiv:2402.17824, 2024 - arxiv.org
A brief survey of some random quantum models with infinite-range couplings is presented,
ranging from the quantum Ising model to the Sachdev-Ye-Kitaev model. The Sachdev-Ye …

Stability analysis of an Ising spin glass with transverse field

G Büttner, KD Usadel - Physical Review B, 1990 - APS
Stability analysis of an Ising spin glass with transverse field Page 1 PHYSICAL REVIEW B
VOLUME 41, NUMBER 1 1 JANUARY 1990 Stability analysis of an Ising spin glass with …

Replica-symmetry breaking for the Ising spin glass in a transverse field

G Büttner, KD Usadel - Physical Review B, 1990 - APS
Parisi's replica-symmetry-breaking scheme is applied to the quantum Sherrington-
Kirkpatrick Ising spin glass in a transverse magnetic field. The order-parameter function q (x) …