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Title: Ballistic spin-dependent transport of Rashba rings with multi-leads

Abstract

Research Highlights: > Transmission coefficients of each outgoing lead in multi-lead mesoscopic Rashba rings. > Spin polarizations of each outgoing lead in multi-lead mesoscopic Rashba rings. > Resonant and antiresonant conditions of spin polarization in multi-lead Rashba rings. > Symmetries of conductance and spin polarization of symmetric multi-lead Rashba rings. - Abstract: Using the Landauer-Buettiker formula with the transfer matrix technique, we develop a formalism of the ballistic spin-dependent electron transport in the multi-lead Rashba rings. We give analytic formulas of the total conductance G{sub j}, spin-{sigma} conductance g{sub j}{sup {sigma}} and spin polarization P{sub j} of each outgoing lead j, and their resonant and antiresonant conditions. Analytic studying with numerical investigating Rashba rings with several symmetric and asymmetric leads, we find that G{sub j}, g{sub j}{sup {sigma}} and P{sub j} oscillate with the incoming electron energy and the spin-orbit interaction (SOI) strength, and their antiresonances depend on the incoming electron energy, the SOI strength and the outgoing-lead angle with the incoming lead. For the symmetric-lead rings, G{sub j}, g{sub j}{sup {sigma}} and P{sub j} have some symmetries, G{sub j}=G{sub N-j},g{sub j}{sup {sigma}}=g{sub N-j}{sup -{sigma}}, and P{sub j} = -P{sub N-j} for symmetric leads, j and N - j, wheremore » the angles between the symmetric outgoing leads j and N - j and the incoming lead are {gamma}{sub N-j} = 2{pi} - {gamma}{sub j}. The spin polarization of the outgoing lead with {gamma}{sub j} = {pi} is exactly zero for even-N-symmetric-lead rings. These symmetries originate from the lead symmetry and time reversal invariance. For asymmetry-lead rings these symmetries vanish.« less

Authors:
 [1]
  1. State Key Laboratory of Optoelectronic Material and Technology and School of Physics and Engineering, Sun Yat-Sen University, Guangzhou 510275 (China)
Publication Date:
OSTI Identifier:
21579887
Resource Type:
Journal Article
Journal Name:
Annals of Physics (New York)
Additional Journal Information:
Journal Volume: 326; Journal Issue: 5; Other Information: DOI: 10.1016/j.aop.2010.10.003; PII: S0003-4916(10)00180-6; Copyright (c) 2010 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Journal ID: ISSN 0003-4916
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ASYMMETRY; ELECTRONS; LEAD; L-S COUPLING; MATRICES; RINGS; SPIN; SPIN ORIENTATION; SYMMETRY; T INVARIANCE; TRANSMISSION; ANGULAR MOMENTUM; COUPLING; ELEMENTARY PARTICLES; ELEMENTS; FERMIONS; INTERMEDIATE COUPLING; INVARIANCE PRINCIPLES; LEPTONS; METALS; ORIENTATION; PARTICLE PROPERTIES

Citation Formats

Guangyao, Huang, and Liang Shidong, E-mail: stslsd@mail.sysu.edu.cn. Ballistic spin-dependent transport of Rashba rings with multi-leads. United States: N. p., 2011. Web. doi:10.1016/j.aop.2010.10.003.
Guangyao, Huang, & Liang Shidong, E-mail: stslsd@mail.sysu.edu.cn. Ballistic spin-dependent transport of Rashba rings with multi-leads. United States. https://doi.org/10.1016/j.aop.2010.10.003
Guangyao, Huang, and Liang Shidong, E-mail: stslsd@mail.sysu.edu.cn. 2011. "Ballistic spin-dependent transport of Rashba rings with multi-leads". United States. https://doi.org/10.1016/j.aop.2010.10.003.
@article{osti_21579887,
title = {Ballistic spin-dependent transport of Rashba rings with multi-leads},
author = {Guangyao, Huang and Liang Shidong, E-mail: stslsd@mail.sysu.edu.cn},
abstractNote = {Research Highlights: > Transmission coefficients of each outgoing lead in multi-lead mesoscopic Rashba rings. > Spin polarizations of each outgoing lead in multi-lead mesoscopic Rashba rings. > Resonant and antiresonant conditions of spin polarization in multi-lead Rashba rings. > Symmetries of conductance and spin polarization of symmetric multi-lead Rashba rings. - Abstract: Using the Landauer-Buettiker formula with the transfer matrix technique, we develop a formalism of the ballistic spin-dependent electron transport in the multi-lead Rashba rings. We give analytic formulas of the total conductance G{sub j}, spin-{sigma} conductance g{sub j}{sup {sigma}} and spin polarization P{sub j} of each outgoing lead j, and their resonant and antiresonant conditions. Analytic studying with numerical investigating Rashba rings with several symmetric and asymmetric leads, we find that G{sub j}, g{sub j}{sup {sigma}} and P{sub j} oscillate with the incoming electron energy and the spin-orbit interaction (SOI) strength, and their antiresonances depend on the incoming electron energy, the SOI strength and the outgoing-lead angle with the incoming lead. For the symmetric-lead rings, G{sub j}, g{sub j}{sup {sigma}} and P{sub j} have some symmetries, G{sub j}=G{sub N-j},g{sub j}{sup {sigma}}=g{sub N-j}{sup -{sigma}}, and P{sub j} = -P{sub N-j} for symmetric leads, j and N - j, where the angles between the symmetric outgoing leads j and N - j and the incoming lead are {gamma}{sub N-j} = 2{pi} - {gamma}{sub j}. The spin polarization of the outgoing lead with {gamma}{sub j} = {pi} is exactly zero for even-N-symmetric-lead rings. These symmetries originate from the lead symmetry and time reversal invariance. For asymmetry-lead rings these symmetries vanish.},
doi = {10.1016/j.aop.2010.10.003},
url = {https://www.osti.gov/biblio/21579887}, journal = {Annals of Physics (New York)},
issn = {0003-4916},
number = 5,
volume = 326,
place = {United States},
year = {Sun May 15 00:00:00 EDT 2011},
month = {Sun May 15 00:00:00 EDT 2011}
}