Vector spin glasses with random short-range anisotropic couplings are studied using the defect-wall renormalization-group method. By calculating the correlation length exponent \ensuremath{\nu} and the fractal dimension of the defect wall, ${\mathit{d}}_{\mathit{s}}$ , we obtain the first direct evidence that in two dimensions these systems have a zero-temperature transition in the same universality class as the Ising spin glass. We also present results which strongly suggest that these systems have a transition at nonzero temperature in three dimensions.Vector spin glasses with random short-range anisotropic couplings are studied using the defect-wall renormalization-group method. By calculating the correlation length exponent \ensuremath{\nu} and the fractal dimension of the defect wall, ${\mathit{d}}_{\mathit{s}}$, we obtain the first direct evidence that in two dimensions these systems have a zero-temperature transition in the same universality class as the Ising spin glass. We also present results which strongly suggest that these systems have a transition at nonzero temperature in three dimensions.

Physical Review LettersSep 6, 199319 citations

Short-range Ising spin glasses

Alexander Viktotorovich Goltsev

In the framework of the replica method, spatial fluctuations in short-range Ising spin glasses are studied by use of the gaussian approximation.

Journal of Physics C Solid State PhysicsMar 20, 198410 citations

{\mathit{d}}_{\mathit{s}}

, we obtain the first direct evidence that in two dimensions these systems have a zero-temperature transition in the same universality class as the Ising spin glass. We also present results which strongly suggest that these systems have a transition at nonzero temperature in three dimensions.