2-DIMENSIONAL ELECTRON-GAS IN A UNIFORM MAGNETIC-FIELD IN THE PRESENCE OF A DELTA-IMPURITY

Authors
CAVALCANTI RM DECARVALHO CAA
Citation
Rm. Cavalcanti et Caa. Decarvalho, 2-DIMENSIONAL ELECTRON-GAS IN A UNIFORM MAGNETIC-FIELD IN THE PRESENCE OF A DELTA-IMPURITY, Journal of physics. A, mathematical and general, 31(10), 1998, pp. 2391-2399
Citations number
9
Categorie Soggetti
Physics,"Physycs, Mathematical
Journal title
Journal of physics. A, mathematical and general → ACNP
ISSN journal
03054470
Volume
31
Issue
10
Year of publication
1998
Pages
2391 - 2399
Database
ISI
SICI code
0305-4470(1998)31:10<2391:2EIAUM>2.0.ZU;2-1
Abstract
The density of states and the Hall conductivity of a two-dimensional e lectron gas in a uniform magnetic field and in the presence of a delta -impurity are exactly calculated using elementary field theoretic tech niques. The impurity creates one localized state per Landau level, but the Hall conductivity is unaffected. Our treatment is explicitly gaug e invariant, and can be easily adapted to other problems involving zer o-range potentials.