Persistent Current via Aharonov-Bohm Effect for Charged Hard-Core Bosons in One-Dimensional Mesoscopic Rings

1995 ◽  
Vol 64 (2) ◽  
pp. 335-338 ◽  
Author(s):  
Jian-Xin Zhu ◽  
Z. D. Wang
Keyword(s):  
Hard Core ◽  
Persistent Current ◽  
One Dimensional ◽  
Bohm Effect ◽  
Aharonov Bohm

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.

The Aharonov–Bohm effect in the carbon nanotube ring

RSC Advances ◽  
2015 ◽  
Vol 5 (56) ◽  
pp. 45551-45557 ◽  
Author(s):  
Huawei Chen ◽  
Erhu Zhang ◽  
Kai Zhang ◽  
Shengli Zhang
Keyword(s):  
Carbon Nanotube ◽  
Bond Length ◽  
Energy Gap ◽  
Persistent Current ◽  
Bohm Effect ◽  
Aharonov Bohm

The Aharonov–Bohm oscillations of the persistent current and the energy gap are investigated with consideration of the bond length dependent hopping parameters.

Aharonov–Bohm effect in one-dimensional systems

2002 ◽  
Vol 301 (5-6) ◽  
pp. 446-450
Author(s):  
Yu-Liang Liu
Keyword(s):  
One Dimensional ◽  
Bohm Effect ◽  
Aharonov Bohm

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.

Aharonov–Bohm effect and one‐dimensional ballistic transport through two independent parallel channels

1993 ◽  
Vol 63 (23) ◽  
pp. 3191-3193 ◽  
Author(s):  
P. J. Simpson ◽  
D. R. Mace ◽  
C. J. B. Ford ◽  
I. Zailer ◽  
M. Pepper ◽  
...  
Keyword(s):  
Ballistic Transport ◽  
One Dimensional ◽  
Bohm Effect ◽  
Parallel Channels ◽  
Aharonov Bohm
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