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

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

1994-04-06

arxiv.org/abs/cond-mat/9404007v1

Phys.Rev.Lett. 72 (1994) 4141

Physics

Condensed Matter

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

Scientific paper

10.1103/PhysRevLett.72.4141

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.

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