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arXiv:cond-mat/0007493 · Physical Review Letters

Effects of a Bulk Perturbation on the Ground State of 3D Ising Spin Glasses

Enzo Marinari, Giorgio Parisi A

Published Apr 23, 2001• 46 citations
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Abstract

We compute and analyze couples of ground states of 3D spin glasses before and after applying a volume perturbation which adds to the Hamiltonian a repulsion from the true ground state. The physical picture based on replica symmetry breaking is in excellent agreement with the observed behavior.
DOI
10.1103/physrevlett.86.3887

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The nature of the spin glass state is investigated by studying changes to the ground state when a weak perturbation is applied to the bulk of the system. We consider short range models in three and four dimensions and the infinite range Sherrington-Kirkpatrick (SK) and Viana-Bray models. Our results for the SK and Viana-Bray models agree with the replica symmetry breaking picture. The data for the short range models fit naturally a picture in which there are large scale excitations which cost a finite energy but whose surface has a fractal dimension, d(s), less than the space dimension d. We also discuss the possible crossover to other behavior at larger length scales than the sizes studied.
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Brief review is given on recent numerical research of the ordering of two typical models of spin glasses (SGs), the three-dimensional (3D) Ising SG and the 3D Heisenberg SG models. Particular attention is paid to the questions of whether there is a thermodynamic transition in zero field, what are the associated critical properties, what is the nature of the ordered state, particularly of a possible replica-symmetry breaking, and whether there is a thermodynamic transition in applied fields. The properties of the two models are contrasted, and possible relation to experiments is discussed.