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

H. Rieger
and
A.P. Young

Phys. Rev. Lett. **72
**, 4141 (1994).
**Abstract**

We study
the quantum transition at $T=0$ in the spin-$\frac12$
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, $\nu$, are given by $z = 1.5 \pm
0.05$ and $\nu = 1.0 \pm 0.1$.
Both the linear and non-linear susceptibility are found to diverge at
the critical point.

Figures available on request from
peter@mozart.ucsc.edu

Peter Young's Home Page

Physics Home Page