|
|||||
|
|
Towards a field theory of the plateau transitions in the integer quantum Hall effect |
|
| Authors: | Miraculous J. Bhaseen Ian I. Kogan Oleg A. Soloviev Nobuhiko Taniguchi Alexei M. Tsvelik |
| Affiliation: | a Theoretical Physics (University of Oxford), 1 Keble Road, Oxford, OX1 3NP, UK b Physics Department, Queen Mary and Westfield College, Mile End Road, London, E1 4NS, UK c Institute of Physics, University of Tsukuba, Tennodai, Tsukuba 305, Japan |
| Abstract: | We suggest a procedure for calculating correlation functions of the local densities of states (DOS) at the plateau transitions in the integer quantum Hall effect (IQHE). We argue that their correlation functions are appropriately described in terms of the SL( )/SU(2) WZNW model (at the usual Ka–Moody point and with the level 6≤k≤8 ). In this model we have identified the operators corresponding to the local DOS, and derived the partial differential equation determining their correlation functions. The OPEs for powers of the local DOS obtained from this equation are in agreement with available results. |
| Keywords: | Localization Quantum Hall effect Multifractality Conformal symmetry |
| 本文献已被 ScienceDirect 等数据库收录！ | |