scholarly journals Effect of the spin-orbit geometric phase on the spectrum of Aharonov-Bohm oscillations in a semiconductor mesoscopic ring

1999 ◽  
Vol 60 (4) ◽  
pp. R2161-R2164 ◽  
Author(s):  
A. G. Mal’shukov ◽  
V. V. Shlyapin ◽  
K. A. Chao
Keyword(s):  
Geometric Phase ◽  
Spin Orbit ◽  
Mesoscopic Ring ◽  
Aharonov Bohm

TRANSPORT THROUGH INTERACTING AHARONOV–BOHM–CASHER INTERFEROMETERS

2011 ◽  
Vol 25 (22) ◽  
pp. 3019-3025
Author(s):  
QING-QIANG XU ◽  
BEN-LING GAO ◽  
SHI-JIE XIONG
Keyword(s):  
Magnetic Flux ◽  
Electronic Transport ◽  
Transport Processes ◽  
Spin Orbit Coupling ◽  
Spin Orbit ◽  
Spin Filter ◽  
Rashba Spin ◽  
Mesoscopic Ring ◽  
Universal Regime ◽  
Aharonov Bohm

We investigate the transport properties of an interacting ring threaded by a magnetic flux and with Rashba spin-orbit coupling, based on a recently developed functional renormalized group technique. In the calculations of the electronic transport processes, the Coloumb On-site interactions are taken into account. For an interacting ring connected to two leads, we find that (i) for ΦAC = 0, the behavior of transmission zero at ΦAB = π is generic for the universal regime; (ii) for certain ΦAC and ΦAB, one can use the mesoscopic ring as spin filter even in the presence of the local interaction in the ring.

SPIN-COHERENT TRANSPORT IN MESOSCOPIC INTERFERENCE DEVICE

NANO ◽  
2007 ◽  
Vol 02 (06) ◽  
pp. 389-392 ◽  
Author(s):  
WALID A. ZEIN ◽  
ADEL H. PHILLIPS ◽  
OMAR A. OMAR
Keyword(s):  
Quantum Dot ◽  
Size Effect ◽  
Tunnel Barrier ◽  
Spin Orbit Coupling ◽  
Spin Orbit ◽  
Intrinsic Parameters ◽  
Coherent Transport ◽  
Quantum Size ◽  
Mesoscopic Ring ◽  
Aharonov Bohm

We investigate the quantum size effect in the phase coherent mesoscopic ring. A quantum dot is embedded in one arm and it is connected to one lead via tunnel barrier. Both Aharonov–Casher and Aharonov–Bohm effects are studied. A spin-dependent conductance has been deduced and it depends on the intrinsic parameters. Our results show that the strength of spin-orbit coupling depends on the size of the present device. This investigation is valuable for fabricating such spintronics devices.

scholarly journals Gravity-Induced Geometric Phases and Entanglement in Spinors and Neutrinos: Gravitational Zeeman Effect

Universe ◽  
2020 ◽  
Vol 6 (10) ◽  
pp. 160
Author(s):  
Banibrata Mukhopadhyay ◽  
Soumya Kanti Ganguly
Keyword(s):  
Electromagnetic Field ◽  
Gravitational Field ◽  
Geometric Phase ◽  
Zeeman Effect ◽  
Relative Strength ◽  
Entangled States ◽  
Neutrino Masses ◽  
Geometric Phases ◽  
Aharonov Bohm ◽  
Gravitational Background

We show Zeeman-like splitting in the energy of spinors propagating in a background gravitational field, analogous to the spinors in an electromagnetic field, otherwise termed the Gravitational Zeeman Effect. These spinors are also found to acquire a geometric phase, in a similar way as they do in the presence of magnetic fields. However, in a gravitational background, the Aharonov-Bohm type effect, in addition to Berry-like phase, arises. Based on this result, we investigate geometric phases acquired by neutrinos propagating in a strong gravitational field. We also explore entanglement of neutrino states due to gravity, which could induce neutrino-antineutrino oscillation in the first place. We show that entangled states also acquire geometric phases which are determined by the relative strength between gravitational field and neutrino masses.

scholarly journals Aharonov-Bohm oscillations in a mesoscopic ring with asymmetric arm-dependent injection

2007 ◽  
Vol 75 (3) ◽  
Author(s):  
P. Vasilopoulos ◽  
O. Kálmán ◽  
F. M. Peeters ◽  
M. G. Benedict
Keyword(s):  
Mesoscopic Ring ◽  
Aharonov Bohm

Geometric phase of a classical Aharonov–Bohm Hamiltonian

2013 ◽  
Vol 377 (15) ◽  
pp. 1095-1101
Author(s):  
Radha Balakrishnan ◽  
Indubala I. Satija
Keyword(s):  
Geometric Phase ◽  
Aharonov Bohm

scholarly journals Quantum Adiabatic Pumping in Rashba- Dresselhaus-Aharonov-Bohm Interferometer

Entropy ◽  
2019 ◽  
Vol 21 (9) ◽  
pp. 828
Author(s):  
Yasuhiro Tokura
Keyword(s):  
Interaction Strength ◽  
Orbit Interaction ◽  
External Control ◽  
Spin Orbit ◽  
Control Parameters ◽  
Spin Orbit Interaction ◽  
Spin Pumping ◽  
One Dimensional ◽  
Pumping Effect ◽  
Aharonov Bohm

We investigate the quantum adiabatic pumping effect in an interferometer attached to two one-dimensional leads. The interferometer is subjected to an Aharonov-Bohm flux and Rashba-Dresselhaus spin-orbit interaction. Using Brouwer’s formula and rigorous scattering eigenstates, we obtained the general closed formula for the pumping Berry curvatures depending on spin for general interferometers when the external control parameters only modulate the scattering eigenstates and corresponding eigenvalues. In this situation, pumping effect is absent in the combination of the control parameters of Aharonov-Bohm flux and spin-orbit interaction strength. We have shown that finite pumping is possible by modulating both Rashba and Dresselhaus interaction strengths and explicitly demonstrated the spin-pumping effect in a diamond-shaped interferometer made of four sites.

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