Ground states of two-dimensional $\pm$J Edwards-Anderson spin glasses

Details Ground states of two-dimensional $\pm$J Edwards-Anderson spin glasses Ground states of two-dimensional $\pm$J Edwards-Anderson spin glasses

2001-09-07

arxiv.org/abs/cond-mat/0109136v2

Phys. Rev. B, 65, 134404 (2002)

Physics

Condensed Matter

Statistical Mechanics

15 pages, 21 figures, 2 tables, uses revtex4 macros

Scientific paper

10.1103/PhysRevB.65.134404

We present an exact algorithm for finding all the ground states of the two-dimensional Edwards-Anderson $\pm J$ spin glass and characterize its performance. We investigate how the ground states change with increasing system size and and with increasing antiferromagnetic bond ratio $x$. We find that that some system properties have very large and strongly non-Gaussian variations between realizations.

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