Dynamic nonlinear (cubic) susceptibility in quantum Ising spin glass

Abstract

Dynamic nonlinear (cubic) susceptibility in quantum d-dimensional Ising spin glass with short-range interactions is investigated on the basis of quantum droplet model and quantum-mechanical nonlinear response theory. Nonlinear response depends on the tunneling rate for a droplet which regulates the strength of quantum fluctuations. It shows a strong dependence on the distribution of droplet free energies and on the droplet length scale average. Comparison with recent experiments on quantum spin glasses like disordered dipolar quantum Ising magnet is discussed .

On the Relaxational Properties of a Quantum Dipolar Spin Glasses Model

“…Finally some years ago we have calculated the static and dynamic non linear magnetic susceptibility χ 3 for Ising spin glass model, revealing its divergence [20,21]. Measurement made on LiHo x Y 1-x F 4 system have confirmed such results [3,7].…”