SPIN AND CHARGE PERSISTENT CURRENTS IN METALLIC RING WITH IMPURITY

1994 ◽  
Vol 08 (14n15) ◽  
pp. 937-945
Author(s):  
A. A. ZVYAGIN ◽  
IGOR N. KARNAUKHOV
Keyword(s):  
Persistent Current ◽  
Normal Metal ◽  
Persistent Currents ◽  
Conduction Electrons ◽  
Current Oscillations ◽  
Metallic Ring ◽  
Aharonov Bohm

Quantum topological effects like Aharonov–Bohm and Aharonov–Casher effects in the metallic ring with a localized impurity are studied. The impurity couples with the conduction electrons by exchange and correlated hybridized interactions. It is shown that the impurity changes the charge and spin persistent current oscillations (the magnitudes and the periods) in contrast with the normal metal situation.

MICROSCOPIC FRACTIONAL PERSISTENT CURRENT OSCILLATIONS IN A METALLIC RING WITH THE ANDERSON IMPURITY

1995 ◽  
Vol 09 (19) ◽  
pp. 1253-1258
Author(s):  
A.A. ZVYAGIN ◽  
T.V. BANDOS
Keyword(s):  
Charge Separation ◽  
Magnetic Impurity ◽  
Persistent Current ◽  
Persistent Currents ◽  
Current Oscillations ◽  
Metallic Ring ◽  
Aharonov Bohm

Microscopic spin and charge persistent currents in a metallic ring with the Anderson magnetic impurity are studied. It is shown that the impurity changes caused by the external magnetic and electric fluxes, the Aharonov-Bohm and Aharonov-Casher oscillations (magnitudes and periods), contrast with the normal metallic case. Spin-charge separation is the reason for the fractional Φ0/N (N is the number of electrons) period of the Aharonov-Bohm oscillations and F0/(N−2M) (M is the number of paired electrons) period of the Aharonov-Casher oscillations.

PERSISTENT CURRENTS DUE TO EVANESCENT MODES

1993 ◽  
Vol 07 (15) ◽  
pp. 1045-1051 ◽  
Author(s):  
P. SINGHA DEO ◽  
A.M. JAYANNAVAR
Keyword(s):  
Magnetic Flux ◽  
Density Of States ◽  
Persistent Current ◽  
Persistent Currents ◽  
Quantum Tunnelling ◽  
Metallic Ring ◽  
Bohm Effect ◽  
Aharonov Bohm ◽  
Special Case

We have calculated the persistent currents and the density of states in an open metallic ring connected to an electron reservoir in the presence of a magnetic flux. As a special case, we have considered the situation wherein electrons enter and leave the ring in a sub-barrier regime characterised by evanescent modes throughout the circumference of the ring. In such a situation, the persistent current arises due to two non-classical effects, namely, Aharonov-Bohm effect and quantum tunnelling.

Persistent current oscillations in a metallic ring embedding a quantum dot

1996 ◽  
Vol 46 (S4) ◽  
pp. 2409-2410 ◽  
Author(s):  
A. A. Zvyagin ◽  
T. V. Bandos ◽  
P. Schlottmann
Keyword(s):  
Quantum Dot ◽  
Persistent Current ◽  
Current Oscillations ◽  
Metallic Ring

Interference of "Coulomb Blockade"-Like and Persistent Current Mesoscopic Oscillations in Quantum Rings

1998 ◽  
Vol 12 (06n07) ◽  
pp. 215-224 ◽  
Author(s):  
A. A. Zvyagin
Keyword(s):  
Coulomb Blockade ◽  
Luttinger Liquid ◽  
Persistent Current ◽  
Quantum Ring ◽  
Magnetic Impurities ◽  
Electron Systems ◽  
Persistent Currents ◽  
Correlated Electron Systems ◽  
Correlated Electron ◽  
Aharonov Bohm

Persistent current and "Coulomb blockade" like oscillations of electrons in a mesoscopic quantum ring are analyzed within the framework of the exact Bethe ansatz solutions of two component Luttinger liquid (correlated electron systems and magnetic impurities models). Changes of the electron number and of the total magnetic moment governed by an external voltage and magnetic field produce the saw-tooth oscillations of the ground state mesoscopic energy, similar to the Coulomb blockade effect. The interference of these oscillations and the Aharonov–Bohm–Casher (ABC) persistent currents can be observed, e.g. as an initial phase shift of the persistent currents. The generalization for multichannel Luttinger liquid case is performed. The recent result of experiment on interference effects in mesoscopic semiconductor rings is explained.

scholarly journals SPECTRAL CORRELATIONS IN DISORDERED MESOSCOPIC METALS AND THEIR RELEVANCE FOR PERSISTENT CURRENTS

1996 ◽  
Vol 10 (28) ◽  
pp. 1397-1406 ◽  
Author(s):  
AXEL VÖLKER ◽  
PETER KOPIETZ
Keyword(s):  
Energy Levels ◽  
Three Dimensional ◽  
Average Density ◽  
Electron Interaction ◽  
Energy Window ◽  
Persistent Currents ◽  
Dependent Part ◽  
The Difference ◽  
Aharonov Bohm ◽  
Grand Canonical

We use the Lanczos method to calculate the variance σ2(E, ϕ) of the number of energy levels in an energy window of width E below the Fermi energy for noninteracting disordered electrons on a thin three-dimensional ring threaded by an Aharonov–Bohm flux ϕ. We confirm numerically that for small E the flux-dependent part of σ2(E, ϕ) is well described by the Altshuler–Shklovskii-diagram involving two Cooperons. However, in the absence of electron–electron interactions this result cannot be extrapolated to energies E where the energy-dependence of the average density of states becomes significant. We discuss consequences for persistent currents and argue that for the calculation of the difference between the canonical- and grand canonical current it is crucial to take the electron–electron interaction into account.

THE ANALOGUE OF THE AHARONOV–BOHM EFFECT FOR BOUND STATES FOR NEUTRAL PARTICLES

2011 ◽  
Vol 26 (18) ◽  
pp. 1331-1341 ◽  
Author(s):  
KNUT BAKKE ◽  
C. FURTADO
Keyword(s):  
Bound States ◽  
Neutral Particle ◽  
Energy Levels ◽  
Quantum Ring ◽  
Persistent Currents ◽  
One Dimensional ◽  
Neutral Particles ◽  
Quantum Flux ◽  
Bohm Effect ◽  
Aharonov Bohm

We study the analogue of the Aharonov–Bohm effect for bound states for a neutral particle with a permanent magnetic dipole moment interacting with an external field. We consider a neutral particle confined to moving between two coaxial cylinders and show the dependence of the energy levels on the Aharonov-Casher quantum flux. Moreover, we show that the same flux dependence of the bound states can be found when the neutral particle is confined to a one-dimensional quantum ring and a quantum dot, and we also calculate the persistent currents in each case.

scholarly journals Zero-Point Fluctuations and the Quenching of the Persistent Current in Normal Metal Rings

2000 ◽  
Vol 84 (2) ◽  
pp. 346-349 ◽  
Author(s):  
Pascal Cedraschi ◽  
Vadim V. Ponomarenko ◽  
Markus Büttiker
Keyword(s):  
Zero Point ◽  
Persistent Current ◽  
Normal Metal ◽  
Metal Rings
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