Physical Sciences and Mathematics Commons^™

Simulating Correlated Disorder In Spin Glass, Jared D. Willard

Macalester Journal of Physics and Astronomy

Almost all materials undergo spontaneous symmetry breaking at sufficiently low

temperatures. For most magnetic materials, the spin rotational symmetry is broken

to form magnetic ordering. The discovery of metallic alloys which fail to form

conventional magnetic order has remained a puzzle for the last few decades.

Unfortunately, analytical calculations cannot provide an unbiased answer for the

problem. Furthermore, on the numerical side, Monte Carlo simulations require

extremely long equilibration times. The parallel tempering method has proven a

powerful tool to alleviate the long equilibration time. With the extensive efforts of

numerical simulation research, some of the idealized models have been …