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Hysteresis loops are obtained in the Ising spin-glass phase in d=3, usingfrustration-conserving hard-spin mean-field theory. The system is driven by atime-dependent random magnetic field H_Q that is conjugate to the spin-glassorder Q, yielding a field-driven first-order phase transition through thespin-glass phase. The hysteresis loop area A of the Q-H_Q curve scales withrespect to the sweep rate h of magnetic field as A-A_0 = h^b. In the spin-glassand random-bond ferromagnetic phases, the sweep-rate scaling exponent b changeswith temperature T, but appears not to change with antiferromagnetic bondconcentration p. By contrast, in the pure ferromagnetic phase, b does notdepend on T and has a sharply different value than in the two other phases.Comment: 5 pages, 8 figures, 1 table. Replaced with published versio

physical review. b, condensed matter and materials physics

Field-driven hysteresis of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>d</mml:mi><mml:mo>=</mml:mo><mml:mn>3</mml:mn></mml:mrow></mml:math>Ising spin glass: Hard-spin mean-field theory

Field-driven hysteresis of thed=3Ising spin glass: Hard-spin mean-field theory