6533b7dbfe1ef96bd1270b5e

RESEARCH PRODUCT

Monte Carlo study of the bimodal three-state Potts glass

J. D. RegerM. Scheucher

subject

PhysicsSpin glassCondensed matter physicsLattice (order)Monte Carlo methodSystematic deviationSeries expansionMagnetic susceptibilityThree dimensional modelPotts model

description

Employing Monte Carlo simulations, we compute the spin-glass susceptibility ${\mathrm{\ensuremath{\chi}}}_{\mathrm{SG}}$(T) of the three-state Potts glass model on a simple-cubic lattice for various temperatures and lattice sizes ranging from L=4 to 10. We use the discrete \ifmmode\pm\else\textpm\fi{}J distribution for the bonds. Comparing our results with a recent high-temperature series expansion, we find a systematic deviation at lower temperatures, which cannot be explained by finite-size effects in our data. The low-temperature behavior of ${\mathrm{\ensuremath{\chi}}}_{\mathrm{SG}}$(T) is compatible with d = 3 being the lower critical dimension of this model.

https://doi.org/10.1103/physrevb.45.2499