Energy Spectrum and Persistent Currents in Finite-Width Mesoscopic Ring with Radial Potential Barrier Threading a Magnetic Flux Through its Hole

The energy spectrum and the persistent currents are calculated for a finite-width mesoscopic annulus with radial potential barrier, threading a magnetic flux through the hole of the ring. Owing to the presence of tunneling barrier, the coupling effect leads to the splitting of each radial energy subband of individual concentrical rings into two one. Thus, total currents and currents carried by single high-lying eigenstate as a function of magnetic flux exhibit complicated patterns. However, periodicity and antisymmetry of current curves in the flux still preserve.

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Structures of energy spectrum and persistent currents in mesoscopic rings with radial potential barrier in magnetic field

Zeitschrift für Physik B Condensed Matter ◽

10.1007/s002570050483 ◽

1997 ◽

Vol 104 (3) ◽

pp. 509-512

Author(s):

Ben-Yuan Gu ◽

Wei-Dong Sheng ◽

Jian Wang

Keyword(s):

Magnetic Field ◽

Energy Spectrum ◽

Potential Barrier ◽

Persistent Currents ◽

Radial Potential

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Energy band structure and persistent currents in a finite-width mesoscopic two-electron ring

Superlattices and Microstructures ◽

10.1016/s0749-6036(09)80021-9 ◽

1994 ◽

Vol 16 (3) ◽

pp. 311-315 ◽

Cited By ~ 13

Author(s):

L. Wendler ◽

V.M. Fomin ◽

A.V. Chaplik

Keyword(s):

Band Structure ◽

Energy Band ◽

Energy Band Structure ◽

Finite Width ◽

Persistent Currents ◽

Electron Ring

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Aharonov-Anandan phase and persistent currents in a mesoscopic ring

Physical Review B ◽

10.1103/physrevb.47.7128 ◽

1993 ◽

Vol 47 (12) ◽

pp. 7128-7131 ◽

Cited By ~ 26

Author(s):

Xiao-Chun Gao ◽

Tie-Zheng Qian

Keyword(s):

Persistent Currents ◽

Mesoscopic Ring

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Electronic delocalization and persistent currents in nonsymmetric-dimer mesoscopic rings threaded by magnetic flux

Journal of Applied Physics ◽

10.1063/1.1651801 ◽

2004 ◽

Vol 95 (11) ◽

pp. 7545-7547 ◽

Cited By ~ 5

Author(s):

X. F. Hu ◽

Z. H. Peng ◽

R. W. Peng ◽

Y. M. Liu ◽

F. Qiu ◽

...

Keyword(s):

Magnetic Flux ◽

Persistent Currents ◽

Electronic Delocalization

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How to Measure Persistent Currents in a Mesoscopic Ring

Quantum Transport in Semiconductor Submicron Structures ◽

10.1007/978-94-009-1760-6_9 ◽

1996 ◽

pp. 207-219

Author(s):

G. Cernicchiaro ◽

K. Hasselbach ◽

D. Mailly ◽

W. Wernsdorfer ◽

A. Benoit

Keyword(s):

Persistent Currents ◽

Mesoscopic Ring

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Large nonlinear Hall effect in (FeCo)0.67Ge0.33/Ge heterojunctions

International Journal of Modern Physics B ◽

10.1142/s0217979219501212 ◽

2019 ◽

Vol 33 (13) ◽

pp. 1950121 ◽

Cited By ~ 3

Author(s):

Juan Pei ◽

Shu-Qin Xiao ◽

Li-Min He ◽

Kun Zhang ◽

Huan-Huan Li ◽

...

Keyword(s):

Hall Effect ◽

Potential Barrier ◽

Coupling Effect ◽

Magnetic Semiconductor ◽

Anomalous Hall Effect ◽

Hall Resistance ◽

Band Model ◽

Semiconductor Films ◽

Text Type ◽

Interfacial Potential

The large nonlinear Hall effect was found in (FeCo)[Formula: see text]Ge[Formula: see text]/Ge heterojunctions formed by sputtering amorphous [Formula: see text]-type (FeCo)[Formula: see text]Ge[Formula: see text] magnetic semiconductor films on near intrinsic n-type Ge substrate. It is very interesting that the mechanisms of the large nonlinear Hall effect in (FeCo)[Formula: see text]Ge[Formula: see text]/Ge heterojunctions are different at different temperature ranges. Below 10 K, the Hall resistance of (FeCo)[Formula: see text]Ge[Formula: see text]/Ge heterojunctions is almost the same as the anomalous Hall effect of (FeCo)[Formula: see text]Ge[Formula: see text] ferromagnetic films. While the temperature increased from 10 to 60 K, the nonlinear Hall resistance, longitudinal conductance, and magnetoresistance all increased quickly and reached the maximum at T[Formula: see text]=[Formula: see text]60 K. In this case, thermally excited conducting carriers can tunnel through the interfacial potential barrier in (FeCo)[Formula: see text]Ge[Formula: see text]/Ge heterojunctions. Thus, in the range of 10–60 K, the enhanced nonlinear Hall resistance can be attributed to the anomalous Hall effect which was further enhanced by interfacial Rashba spin–orbit coupling effect. When the temperature further increased from 60 to 250 K, the interfacial potential barrier weakened gradually, and the Hall resistance and magnetoresistance decreased due to the shunting of the Ge substrate. In this case, the nonlinear Hall effect of (FeCo)[Formula: see text]Ge[Formula: see text]/Ge heterojunctions can be explained very well by the two-band model of nonlinear Hall effect.

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TRANSPORT THROUGH INTERACTING AHARONOV–BOHM–CASHER INTERFEROMETERS

International Journal of Modern Physics B ◽

10.1142/s0217979211101247 ◽

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.

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