Here we discuss the annealing behavior of an infinite-range ±J Ising spin glass in presence of a transverse field using a zero-temperature quantum Monte Carlo. Within the simulation scheme, we demonstrate that quantum annealing not only helps finding the ground state of a classical spin glass, but can also help simulating the ground state of a quantum spin glass, in particularly, when the trans...

We show rigorously that the spin-glass susceptibility in the random field Ising model is always bounded by the ferromagnetic susceptibility, and therefore that no spin-glass phase can be present at equilibrium out of the ferromagnetic critical line. When the magnetization is, however, fixed to values smaller than the equilibrium value, a spin-glass phase can exist, as we show explicitly on the ...

The lower-critical dimension for the existence of the Ising spin-glass phase is calculated, numerically exactly, as dL=2.520 for a family of hierarchical lattices, from an essentially exact (correlation coefficent R2=0.999999) near-linear fit to 23 different diminishing fractional dimensions. To obtain this result, the phase transition temperature between the disordered and spin-glass phases, t...

The ordering of the one-dimensional Heisenberg spin glass interacting via the long-range powerlaw interaction is studied by Monte Carlo simulations. Particular attention is paid to the possible occurrence of the “spin-chirality decoupling” for appropriate values of the power-law exponent σ. Our result suggests that, for intermediate values of σ, the chiral-glass order occurs at finite temperatu...

We report on a Monte Carlo study of a diluted Ising antiferromagnet on a fcc lattice. This is a typical model example of a highly frustrated antiferromagnet, and we ask whether sufficient random dilution of spins does produce a spin-glass phase. Our data strongly indicate the existence of a spin-glass transition for spin concentration p,0.75: We find a divergent spin-glass susceptibility and a ...

The chiral glass behaviour of the nearest-neighbour random-bond XY spin glass in four dimensions is studied by Monte Carlo simulations. A chiral glass transition at T cg = 0.90 ± 0.05 is found by a finite-size scaling analysis of the results. The associated chiral correlation-length exponent is estimated to be ν cg = 0.6 ± 0.1 and η cg ∼ 0.25. The values for the chiral critical temperature and ...

In this paper I report results for simulations of the three-dimensional gauge glass and the four-dimensional XY spin glass using the parallel tempering Monte Carlo method at low temperatures for moderate sizes. The results are qualitatively consistent with earlier work on the threeand four-dimensional Edwards-Anderson Ising spin glass. I find evidence that large-scale excitations may cost only ...

We study by means of Monte Carlo simulations the off-equilibrium properties of a model glass, the frustrated Ising lattice gas in three dimensions. We have computed typical two times quantities, such as density-density autocorrelations and the autocorrelation of internal degrees of freedom. We find an aging scenario particularly interesting in the case of the density autocorrelations in real sp...