0185104 - UJF-V 20000274 RIV NL eng J - Journal Article
Exner, Pavel - Geyler, V. A.
Berry phase in magnetic systems with point interactions.
Journal of Geometry and Physics. Roč. 36, - (2000), s. 178-197. ISSN 0393-0440. E-ISSN 1879-1662
R&D Projects: GA AV ČR IAA1048801
Subject RIV: BE - Theoretical Physics
Impact factor: 0.813, year: 2000

We study a two-dimensional charged particle interacting witha magnetic field, in general non-homogeneous, perpendicular to the plane, a confining potential, and a point interaction. If the latter moves adiabatically along a loop the state corresponding to an isolated eigenvalue acquires a Berry phase. We derive an expression for it and evaluate it in severalexamples such as a homogeneous field, a magnetic whisker, a particle confined at a ring or in quantum dots, a parabolic and a zero-range one. We also discuss the behavior of the lowest Landau level in this setting obtaining an explicit example of the Wilczek-Zee phase for an infinitely degenerated eigenvalue.
Permanent Link: http://hdl.handle.net/11104/0081523