Fermions in a random medium
| dc.creator | Kinzelbach, Harald | |
| dc.creator | Lassig, Michael | |
| dc.date | 1994-11-29 | |
| dc.date.accessioned | 2026-07-07T03:07:34Z | |
| dc.date.available | 2026-07-07T03:07:34Z | |
| dc.description | We study the continuum field theory for an ensemble of directed polymers r_i (t) in 1+d' dimensions that live in a medium with quenched point disorder and interact via short-ranged pair forces g Ψ(r_i - r_j). In the strong-disorder (or low-temperature) regime, such forces are found to be relevant in any dimension d' below the upper critical dimension for a single line. Attractive forces generate a bound state with localization length ξ_\perp \sim |g|^{-ν_\perp}; repulsive forces lead to mutual avoidance with a pair distribution function P(r_i - r_j) \sim |r_i - r_j|^θreminiscent of interacting fermions. In the experimentally important dimension d' = 2, we obtain ν_\perp \approx 0.8 and θ\approx 2.4 . | |
| dc.description | 12 pages, latex, no figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/9411126 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/9411126 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/27213 | |
| dc.subject | Condensed Matter | |
| dc.title | Fermions in a random medium | |
| dc.type | text |