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

Journal Article · Mon Apr 11 04:00:00 EDT 1994 · Physical Review Letters; (United States)

DOI:https://doi.org/10.1103/PhysRevLett.72.2311· OSTI ID:5017876

Qian, T; Su, Z ^[1]

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1. CCAST (World Laboratory), P.O. Box 8730, Beijing 100080 (China) Institute of Theoretical Physics, Academia Sinica, P.O. Box 2735, Beijing 100080 (China)

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.

• OSTI ID: 5017876
• Journal Information: Physical Review Letters; (United States), Journal Name: Physical Review Letters; (United States) Vol. 72:15; ISSN 0031-9007; ISSN PRLTAO
• Country of Publication: United States
• Language: English

Related Subjects

661100* -- Classical & Quantum Mechanics-- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANGULAR MOMENTUM
FUNCTIONS
INTERACTIONS
INTERFERENCE
ONE-DIMENSIONAL CALCULATIONS
ORBITS
PARTICLE PROPERTIES
PHASE STUDIES
RINGS
SPIN
WAVE FUNCTIONS