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Title: Two interacting charged particles in an Aharonov-Bohm ring: Bound state transitions, symmetry breaking, persistent currents, and Berry's phase

Abstract

By using a Green's function procedure we determine exactly the energy spectrum and the associated eigenstates of a system of two oppositely charged particles interacting through a contact potential and moving in a one-dimensional ring threaded by a magnetic flux. Critical interactions for the appearance of bound states are analytically determined and are viewed as limiting cases of many-body results from the area of interaction-induced metal-insulator transitions in charged quantal mixtures. Analytical expressions on one-body probability and charge current densities for this overall neutral system are derived and their single-valuedness leads to the possibility of states with broken symmetry, with possible experimental signatures in exciton spectra. Persistent currents are analytically determined and their properties investigated from the point of view of an interacting mesoscopic system. A cyclic adiabatic process on the interaction potential is also identified, with the associated Berry's phase directly linked to the electric (persistent) currents, the probability currents having no contribution for a neutral system.

Authors:
;  [1]
  1. University of Cyprus, Department of Physics, P.O. Box 20537, 1678 Nicosia (Cyprus)
Publication Date:
OSTI Identifier:
20662282
Resource Type:
Journal Article
Journal Name:
Physical Review. B, Condensed Matter and Materials Physics
Additional Journal Information:
Journal Volume: 70; Journal Issue: 23; Other Information: DOI: 10.1103/PhysRevB.70.235327; (c) 2004 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1098-0121
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; ADIABATIC PROCESSES; AHARONOV-BOHM EFFECT; BOUND STATE; CHARGED PARTICLES; CURRENT DENSITY; EIGENSTATES; ENERGY SPECTRA; EXCITONS; GREEN FUNCTION; INTERACTIONS; MAGNETIC FLUX; PROBABILITY; SYMMETRY BREAKING

Citation Formats

Moulopoulos, Konstantinos, and Constantinou, Martha. Two interacting charged particles in an Aharonov-Bohm ring: Bound state transitions, symmetry breaking, persistent currents, and Berry's phase. United States: N. p., 2004. Web. doi:10.1103/PhysRevB.70.235327.
Moulopoulos, Konstantinos, & Constantinou, Martha. Two interacting charged particles in an Aharonov-Bohm ring: Bound state transitions, symmetry breaking, persistent currents, and Berry's phase. United States. https://doi.org/10.1103/PhysRevB.70.235327
Moulopoulos, Konstantinos, and Constantinou, Martha. 2004. "Two interacting charged particles in an Aharonov-Bohm ring: Bound state transitions, symmetry breaking, persistent currents, and Berry's phase". United States. https://doi.org/10.1103/PhysRevB.70.235327.
@article{osti_20662282,
title = {Two interacting charged particles in an Aharonov-Bohm ring: Bound state transitions, symmetry breaking, persistent currents, and Berry's phase},
author = {Moulopoulos, Konstantinos and Constantinou, Martha},
abstractNote = {By using a Green's function procedure we determine exactly the energy spectrum and the associated eigenstates of a system of two oppositely charged particles interacting through a contact potential and moving in a one-dimensional ring threaded by a magnetic flux. Critical interactions for the appearance of bound states are analytically determined and are viewed as limiting cases of many-body results from the area of interaction-induced metal-insulator transitions in charged quantal mixtures. Analytical expressions on one-body probability and charge current densities for this overall neutral system are derived and their single-valuedness leads to the possibility of states with broken symmetry, with possible experimental signatures in exciton spectra. Persistent currents are analytically determined and their properties investigated from the point of view of an interacting mesoscopic system. A cyclic adiabatic process on the interaction potential is also identified, with the associated Berry's phase directly linked to the electric (persistent) currents, the probability currents having no contribution for a neutral system.},
doi = {10.1103/PhysRevB.70.235327},
url = {https://www.osti.gov/biblio/20662282}, journal = {Physical Review. B, Condensed Matter and Materials Physics},
issn = {1098-0121},
number = 23,
volume = 70,
place = {United States},
year = {Wed Dec 15 00:00:00 EST 2004},
month = {Wed Dec 15 00:00:00 EST 2004}
}