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Disorder chaos in spin glasses

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PACS. 75.10.Nr – Spin-glass and other random models. PACS. 75.50.Lk – Spin glasses and other random magnets. PACS. 75.60.Nt – Magnetic annealing and temperature-hysteresis effects. Abstract. – We investigate numerically disorder chaos in spin glasses, i.e. the sensitivity of the ground state to small changes of the random couplings. Our study focuses on the Edwards-Anderson model in d = 1, 2,3 and in mean-field. We find that in all cases, simple scaling laws, involving the size of the system and the strength of the perturbation, are obeyed. We characterize in detail the distribution of overlap between ground states and the geometrical properties of flipped spin clusters in both the weak and strong chaos regime. The possible relevance of these results to temperature chaos is discussed. One of the most spectacular theoretical prediction about the glassy phase of disordered systems is its generic fragility to perturbations, in particular to temperature changes. ‘Temperature Chaos ’ (TC), i.e, the chaotic change of the thermodynamically dominant configurations when temperature is slightly modified, has been first proposed in the context of the scaling theory of spin-glasses [1–4], and later extended to other disordered systems, such as pinne

Year: 2005
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