6533b7d9fe1ef96bd126ba0b

RESEARCH PRODUCT

Monte Carlo study of the order-parameter distribution in the four-dimensional Ising spin glass

A. P. YoungRavindra N. BhattJ. D. Reger

subject

PhysicsSpin glassCondensed matter physicsTransition temperatureMonte Carlo methodGeneral Physics and AstronomyRenormalization groupCondensed Matter::Disordered Systems and Neural Networkssymbols.namesakeDistribution functionsymbolsIsing spinIsing modelHamiltonian (quantum mechanics)

description

We investigate the order-parameter distribution P(q) of the Ising spin glass with nearest-neighbor interactions in four dimensions using Monte Carlo simulations on lattices of linear dimension up to L=6. We find that, below the transition temperature ${\mathit{T}}_{\mathit{c}}$, the weight at small q seems to saturate to a nonzero value as the size increases, similar to the infinite-range Sherrington-Kirkpatrick model. We discuss our results in the light of recent theoretical predictions for the nature of the spin-glass phase.

https://doi.org/10.1103/physrevlett.64.1859