Eigenmode analysis of the susceptibility matrix of the four-dimensional Edwards-Anderson spin-glass model
| dc.creator | Hukushima, Koji | |
| dc.creator | Iba, Yukito | |
| dc.date | 2002-07-04 | |
| dc.date.accessioned | 2026-07-07T02:46:06Z | |
| dc.date.available | 2026-07-07T02:46:06Z | |
| dc.description | 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. | |
| dc.description | 4 pages, 2 figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0207123 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0207123 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/19543 | |
| dc.subject | Disordered Systems and Neural Networks | |
| dc.subject | Statistical Mechanics | |
| dc.title | Eigenmode analysis of the susceptibility matrix of the four-dimensional Edwards-Anderson spin-glass model | |
| dc.type | text |