Geometric phase related to point-interaction transport on a magnetic Lobachevsky plane

Abstract

We consider a charged quantum particle living in the Lobachevsky plane and interacting with a homogeneous magnetic field perpendicular to the plane and a point interaction which is transported adiabatically along a closed loop C in the plane. We show that the bound-state eigenfunction acquires at that the Berry phase equal to 2πtimes the number of the flux quanta through the area encircled by C.

LaTeX 2e, 10 pages

References in corpus (2)

• Observing the Berry phase in diffusive conductors: Necessary conditions for adiabaticity
• Berry phase in magnetic systems with point perturbations

Cited by in corpus (5)

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• Quantum Hall effect on the Lobachevsky plane
• Aharonov-Bohm effect on the Poincaré disk
• Zero modes in a system of Aharonov--Bohm solenoids on the Lobachevsky plane
• A Perturbative Approach to the Tunneling Phenomena