Quantum and classical localisation and the Manhattan lattice
| dc.creator | Beamond, E. J. | |
| dc.creator | Owczarek, A. L. | |
| dc.creator | Cardy, John | |
| dc.date | 2002-10-17 | |
| dc.date | 2003-08-19 | |
| dc.date.accessioned | 2026-07-07T02:47:46Z | |
| dc.date.available | 2026-07-07T02:47:46Z | |
| dc.description | We consider a network model, embedded on the Manhattan lattice, of a quantum localisation problem belonging to symmetry class C. This arises in the context of quasiparticle dynamics in disordered spin-singlet superconductors which are invariant under spin rotations but not under time reversal. A mapping exists between problems belonging to this symmetry class and certain classical random walks which are self-avoiding and have attractive interactions; we exploit this equivalence, using a study of the classical random walks to gain information about the corresponding quantum problem. In a field-theoretic approach, we show that the interactions may flow to one of two possible strong coupling regimes separated by a transition: however, using Monte Carlo simulations we show that the walks are in fact always compact two-dimensional objects with a well-defined one-dimensional surface, indicating that the corresponding quantum system is localised. | |
| dc.description | 11 pages, 8 figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0210359 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0210359 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/20132 | |
| dc.subject | Mesoscale and Nanoscale Physics | |
| dc.subject | Statistical Mechanics | |
| dc.title | Quantum and classical localisation and the Manhattan lattice | |
| dc.type | text |