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Ground states of two-dimensional<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mo>±</mml:mo><mml:mi>J</mml:mi></mml:math>Edwards-Anderson spin glasses
We present an exact algorithm for finding all the ground states of the two-dimensional Edwards-Anderson $\ifmmode\pm\else\textpm\fi{}J$ spin glass and characterize its performance. We investigate how the ground states change with increasing system size and antiferromagnetic bond ratio x. We find that the ground-state distribution is log normal and that its …