Network Models of Quantum Percolation and Their Field-Theory Representations

dc.creatorLee, Dung-Hai
dc.date1994-04-06
dc.date.accessioned2026-07-07T03:07:12Z
dc.date.available2026-07-07T03:07:12Z
dc.descriptionWe obtain the field-theory representations of several network models that are relevant to 2D transport in high magnetic fields. Among them, the simplest one, which is relevant to the plateau transition in the quantum Hall effect, is equivalent to a particular representation of an antiferromagnetic SU(2N) ($N\rightarrow 0$) spin chain. Since the later can be mapped onto a $θ\ne 0$, $U(2N)/U(N)\times U(N)$ sigma model, and since recent numerical analyses of the corresponding network give a delocalization transition with $ν\approx 2.3$, we conclude that the same exponent is applicable to the sigma model.
dc.description11 pages, LaTeX
dc.identifierhttps://arxiv.org/abs/cond-mat/9404011
dc.identifierhttp://arxiv.org/abs/cond-mat/9404011
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/27087
dc.subjectCondensed Matter
dc.titleNetwork Models of Quantum Percolation and Their Field-Theory Representations
dc.typetext

Files

Collections