Quasi-Diffusion in a 3D Supersymmetric Hyperbolic Sigma Model |
| |
Authors: | M Disertori T Spencer M R Zirnbauer |
| |
Institution: | 1. Laboratoire de Mathématiques Rapha?l Salem, UMR CNRS 6085, Université de Rouen, 76801, Saint-étienne-du-Rouvray, France 2. Institute for Advanced Study, Einstein Drive, Princeton, NJ, 08540, USA 3. Institut für Theoretische Physik, Universit?t zu K?ln, Zülpicher Stra?e 77, 50937, K?ln, Germany
|
| |
Abstract: | We study a lattice field model which qualitatively reflects the phenomenon of Anderson localization and delocalization for
real symmetric band matrices. In this statistical mechanics model, the field takes values in a supermanifold based on the
hyperbolic plane. Correlations in this model may be described in terms of a random walk in a highly correlated random environment.
We prove that in three or more dimensions the model has a ‘diffusive’ phase at low temperatures. Localization is expected
at high temperatures. Our analysis uses estimates on non-uniformly elliptic Green’s functions and a family of Ward identities
coming from internal supersymmetry. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|