Persistent currents in a one-dimensional disordered ring in the Luttinger model

1997 ◽  
Vol 55 (24) ◽  
pp. 16300-16305 ◽  
Author(s):  
Jia-Lin Zhu ◽  
Xi Chen ◽  
Yoshiyuki Kawazoe
Keyword(s):  
Persistent Currents ◽  
One Dimensional ◽  
Luttinger Model

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 Persistent currents in a one-dimensional ring for a disordered Hubbard model

1995 ◽  
Vol 51 (16) ◽  
pp. 10915-10922 ◽  
Author(s):  
Thierry Giamarchi ◽  
B. Sriram Shastry
Keyword(s):  
Hubbard Model ◽  
Persistent Currents ◽  
One Dimensional

QUANTUM TRANSPORT IN MESOSCOPIC RINGS WITH STUBS

1996 ◽  
Vol 10 (26) ◽  
pp. 3569-3581 ◽  
Author(s):  
SAM YOUNG CHO ◽  
TAESEUNG CHOI ◽  
CHANG-MO RYU
Keyword(s):  
Quantum Transport ◽  
Transmission Probability ◽  
Localized States ◽  
Persistent Currents ◽  
Quantum Waveguide ◽  
One Dimensional ◽  
Continuum States ◽  
Discrete States ◽  
The One ◽  
The Continuum

Quantum transport in the open-system mesoscopic rings with stubs in the absence of magnetic field is investigated by using the one-dimensional quantum waveguide theory. It is shown that discretely localized states due to the presence of stubs play an important role in the electron transport. The behavior of transmission probability shows the asymmetric Fano resonance, which arises from the interaction between the continuum states and the discrete states. Amplification of the persistent currents by the localized states due to the stub is clearly shown. Negative currents are also noticed.

Persistent currents in the one-dimensional mesoscopic Hubbard ring

2008 ◽  
Vol 20 (39) ◽  
pp. 395209 ◽  
Author(s):  
Bo-Bo Wei ◽  
Shi-Jian Gu ◽  
Hai-Qing Lin
Keyword(s):  
Persistent Currents ◽  
One Dimensional ◽  
The One

scholarly journals Aharonov—Bohm oscillations and distributions of equilibrium current in open quantum dot and ring interferometer

2020 ◽  
Vol 22 (4) ◽  
pp. 290-297
Author(s):  
O. A. Tkachenko ◽  
D. G. Baksheev ◽  
V. A. Tkachenko
Keyword(s):  
Magnetic Field ◽  
Quantum Dot ◽  
Magnetic Moment ◽  
Persistent Currents ◽  
One Dimensional ◽  
Ring Interferometer ◽  
Submicron Devices ◽  
Back Scattering ◽  
The One ◽  
Aharonov Bohm

Magnetotransport in submicron devices formed on the basis of GaAs/AlGaAs structures is simulated by the method of nonequilibrium Green functions. In the one-particle approximation, the influence of a perpendicular magnetic field on electron transmission through a quasi-one-dimensional quantum dot and the Aharonov—Bohm interferometer is considered. Two-terminal conductance and magnetic moment of the devices are calculated. Two-dimensional patterns of equilibrium (persistent) currents are obtained. The correlations between energy dependences of magnetic moment and conductance are considered. For the quasi-one-dimensional quantum dot, regular conductance oscillations similar to the ABOs were found at low magnetic fields (0.05—0.4 T). In the case of a ring interferometer, the contribution to the total equilibrium current and magnetic moment at a given energy can change sharply both in magnitude and in sign when the magnetic field changes within the same Aharonov—Bohm oscillation. The conductance through the interferometer is determined not by the number of propagating modes, but rather by the influence of triangular quantum dots at the entrances to the ring, causing back scattering. Period of calculated ABOs corresponds to that measured for these devices.

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