Zero Droplet Stiffness Exponent $θ$ is Revealed in Short Range Spin Glasses when Probed with Large Avalanches Induced by Long Range Interactions
| dc.creator | Pazmandi, Ferenc | |
| dc.creator | Zimanyi, Gergely T. | |
| dc.date | 2009-03-25 | |
| dc.date.accessioned | 2026-07-07T12:56:20Z | |
| dc.date.available | 2026-07-07T12:56:20Z | |
| dc.description | We probe the droplet excitations in short range spin glasses by adding a perturbative long range interaction that decays with distance as a power law: $J/r^σ$. It is shown that if the power law exponent $σ$ is smaller than the spatial dimension $d$, the perturbation induces large scale avalanches which roll until they force the system to develop a pseudo gap in the excitation spectrum of the stabilities. This makes the perturbative long range interactions relevant for $σ< σ_c = d$. The droplet theory predicts that the critical exponent $σ_c$ depends on the droplet stiffness exponent as $σ_c=d-θ$. Combining these two results leads to a zero stiffness exponent $θ= 0$ in the droplet theory of short range spin glasses. | |
| dc.description | 4 pages, 2 figures | |
| dc.identifier | https://arxiv.org/abs/0903.4235 | |
| dc.identifier | http://arxiv.org/abs/0903.4235 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/224551 | |
| dc.subject | Disordered Systems and Neural Networks | |
| dc.subject | Statistical Mechanics | |
| dc.title | Zero Droplet Stiffness Exponent $θ$ is Revealed in Short Range Spin Glasses when Probed with Large Avalanches Induced by Long Range Interactions | |
| dc.type | text |