Spin-orbit interaction and Aharonov-Anandan phase in mesoscopic rings

We show the existence of a nonadiabatic geometric phase, i.e., an Aharonov-Anandan (AA) phase, in the Aharonov-Casher (AC) topological interference effect in one-dimensional mesoscopic rings. We find the AC phase is the phase accumulated by the spin wave function during a cyclic evolution, and show...

Full description

Saved in:
Bibliographic Details
Published in:Physical review letters 1994-04, Vol.72 (15), p.2311-2315
Main Authors: Qian, TZ, Su, ZB
Format: Article
Language:English
Subjects:
ANGULAR MOMENTUM
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
FUNCTIONS
INTERACTIONS
INTERFERENCE
ONE-DIMENSIONAL CALCULATIONS
ORBITS
PARTICLE PROPERTIES 661100 > Classical & Quantum Mechanics-- (1992-)
PHASE STUDIES
RINGS
SPIN
WAVE FUNCTIONS
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We show the existence of a nonadiabatic geometric phase, i.e., an Aharonov-Anandan (AA) phase, in the Aharonov-Casher (AC) topological interference effect in one-dimensional mesoscopic rings. We find the AC phase is the phase accumulated by the spin wave function during a cyclic evolution, and show it is the sum of a geometric AA phase and a dynamical phase. In the adiabatic limit, the AA phase becomes the spin-orbit Berry phase introduced by Aronov and Lyanda-Geller. By solving exactly the model of a quasi-one-dimensional ring formed by the 2DEG on a semiconductor heterostructure, we discuss the observability of the AA phase in the AC effect.
ISSN:0031-9007
1079-7114
DOI:10.1103/physrevlett.72.2311