Eigenmode analysis of the susceptibility matrix of the four-dimensional Edwards-Anderson spin-glass model

Details Eigenmode analysis of the susceptibility matrix of the four-dimensional Edwards-Anderson spin-glass model Eigenmode analysis of the susceptibility matrix of the four-dimensional Edwards-Anderson spin-glass model

2002-07-04

arxiv.org/abs/cond-mat/0207123v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages, 2 figures

Scientific paper

The nature of spin-glass phase of the four-dimensional Edwards-Anderson Ising model is numerically studied by eigenmode analysis of the susceptibility matrix up to the lattice size 10^4. Unlike the preceding results on smaller lattices, our result suggests that there exist multiple extensive eigenvalues of the matrix, which does not contradict replica-symmetry-breaking scenarios. The sensitivity of the eigenmodes with respect to a temperature change is examined using finite-size-scaling analysis and an evidence of anomalous sensitivity is found. A computational advantage of dual formulation of the eigenmode analysis in the study of large lattices is also discussed.

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