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

2004 ◽  
Vol 70 (23) ◽  
Author(s):  
Konstantinos Moulopoulos ◽  
Martha Constantinou
Keyword(s):  
Symmetry Breaking ◽  
Charged Particles ◽  
Bound State ◽  
State Transitions ◽  
Persistent Currents ◽  
Berry's Phase ◽  
Berry’S Phase ◽  
Aharonov Bohm

scholarly journals Ensemble-Average Spectrum of Aharonov-Bohm Conductance Oscillations: Evidence for Spin-Orbit-Induced Berry's Phase

1998 ◽  
Vol 80 (5) ◽  
pp. 1050-1053 ◽  
Author(s):  
A. F. Morpurgo ◽  
J. P. Heida ◽  
T. M. Klapwijk ◽  
B. J. van Wees ◽  
G. Borghs
Keyword(s):  
Ensemble Average ◽  
Spin Orbit ◽  
Berry's Phase ◽  
Berry’S Phase ◽  
Average Spectrum ◽  
Aharonov Bohm

THE AHARONOV-CASHER AND BERRY’S PHASE EFFECTS IN SOLIDS

1991 ◽  
Vol 05 (23) ◽  
pp. 1607-1611 ◽  
Author(s):  
E.N. BOGACHEK ◽  
I.V. KRIVE ◽  
I.O. KULIK ◽  
A.S. ROZHAVSKY
Keyword(s):  
Magnetic Field ◽  
Phase Shift ◽  
Condensed Matter ◽  
Field Vector ◽  
Metal Ring ◽  
Topological Phase ◽  
Berry's Phase ◽  
Berry’S Phase ◽  
Aharonov Bohm ◽  
The Magnetic Field

We consider the manifestations of charge-induced topological phase shift (Aharonov-Casher effect) in condensed matter physics. There will be an oscillating response to high voltage of the magnetic moment (persistent current) and conductivity, as well as a phase shift of the Aharonov-Bohm oscillation to a smaller voltage, for the normal metal ring threaded by a charged fiber. These oscillations shift in phase if the magnetic field vector rotates along the ring, as a consequence of the geometrical (Berry’s) phase associated with the electron spin.

Persistent currents from Berry’s phase in mesoscopic systems

1992 ◽  
Vol 45 (23) ◽  
pp. 13544-13561 ◽  
Author(s):  
Daniel Loss ◽  
Paul M. Goldbart
Keyword(s):  
Mesoscopic Systems ◽  
Persistent Currents ◽  
Berry's Phase ◽  
Berry’S Phase

BROKEN TIME-REVERSAL SYMMETRY AND BERRY’S PHASE

1993 ◽  
Vol 07 (11) ◽  
pp. 2109-2146 ◽  
Author(s):  
JISOON IHM
Keyword(s):  
Symmetry Breaking ◽  
Time Reversal ◽  
Geometric Phase ◽  
Slow Variable ◽  
Quantum Mechanical ◽  
Time Reversal Symmetry ◽  
Fast Variable ◽  
Berry's Phase ◽  
Berry’S Phase ◽  
Symmetry Properties

Berry’s phase is typically realized in a system consisting of fast and slow variables, when the trajectory of the slow variable makes a closed loop. The quantum mechanical phase picked up by the fast variable while the slow variable traverses the loop has turned out to produce real physical effects through quantum interference. In this article, we investigate origins of Berry’s geometric phase and show that they are in general attributable to the broken time-reversal symmetry of the system. Our analysis leads to the classification of Berry’s phase for Hamiltonian systems in terms of symmetry properties under time-reversal operations. Spontaneous time-reversal symmetry-breaking of state vectors is shown to give rise to Berry’s phase as exemplified by a quantum-mechanical rotated hoop. A system with an explicitly time-reversal symmetry-breaking Hamiltonian is also demonstrated to exhibit nontrivial Berry’s phase. The quantization of the geometric phase associated with the real two-dimensional Hamiltonian having topological singularity is explained within the same framework. The unique role of the time-reversal operator among general antiunitary operators is also discussed.

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