arXiv:cond-mat/9404007·v1·cond-mat

Zero--Temperature Quantum Phase Transition of a Two--Dimensional Ising Spin--Glass

Heiko Rieger · A. Peter Young

Abstract

We study the quantum transition at $T = 0$ in the spin- $\frac{1}{2}$ Ising spin--glass in a transverse field in two dimensions. The world line path integral representation of this model corresponds to an effective classical system in (2+1) dimensions, which we study by Monte Carlo simulations. Values of the critical exponents are estimated by a finite-size scaling analysis. We find that the dynamical exponent, $z$ , and the correlation length exponent, $ν$ , are given by $z = 1.5 \pm 0.05$ and $ν = 1.0 \pm 0.1$ . Both the linear and non-linear susceptibility are found to diverge at the critical point.

Comments: RevTeX 10 pages + 4 figures (appended as uuencoded, compressed tar-file), THP21-94