Ultrametricity and clustering of states in spin glasses: A one-dimensional view
| dc.creator | Katzgraber, Helmut G. | |
| dc.creator | Hartmann, Alexander K. | |
| dc.date | 2008-07-22 | |
| dc.date | 2009-01-26 | |
| dc.date.accessioned | 2026-07-07T12:34:03Z | |
| dc.date.available | 2026-07-07T12:34:03Z | |
| dc.description | We present results from Monte Carlo simulations to test for ultrametricity and clustering properties in spin-glass models. By using a one-dimensional Ising spin glass with random power-law interactions where the universality class of the model can be tuned by changing the power-law exponent, we find signatures of ultrametric behavior both in the mean-field and non-mean-field universality classes for large linear system sizes. Furthermore, we confirm the existence of nontrivial connected components in phase space via a clustering analysis of configurations. | |
| dc.description | 4 pages, 4 figures, 1 table | |
| dc.identifier | https://arxiv.org/abs/0807.3513 | |
| dc.identifier | http://arxiv.org/abs/0807.3513 | |
| dc.identifier | Phys. Rev. Lett. 102, 037207 (2009) | |
| dc.identifier | doi:10.1103/PhysRevLett.102.037207 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/217288 | |
| dc.subject | Disordered Systems and Neural Networks | |
| dc.title | Ultrametricity and clustering of states in spin glasses: A one-dimensional view | |
| dc.type | text |