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Title: Resonant reflection of interacting electrons from an impurity in a quantum wire: Interplay of Zeeman and spin-orbit effects

Abstract

A single-channel quantum wire with two well-separated Zeeman subbands and in the presence of weak spin-orbit coupling is considered. An impurity level which is split off the upper subband is degenerate with the continuum of the lower subband. We show that, when the Fermi level lies in the vicinity of the impurity level, the transport is completely blocked. This is the manifestation of the effect of resonant reflection and can be viewed as resonant tunneling between left-moving and right-moving electrons via the impurity level. We incorporate electron-electron interactions and study their effect on the shape of the resonant-reflection profile. Furthermore, this profile becomes a two-peak structure, where one peak is caused by resonant reflection itself, while the origin of the other peak is reflection from the Friedel oscillations of the electron density surrounding the impurity.

Authors:
 [1];  [1]
  1. Univ. of Utah, Salt Lake City, UT (United States)
Publication Date:
Research Org.:
Univ. of Utah, Salt Lake City, UT (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
OSTI Identifier:
1609738
Alternate Identifier(s):
OSTI ID: 1477556
Grant/Contract Number:  
FG02-06ER46313
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 98; Journal Issue: 14; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; materials science; physics; spin-orbit coupling; 1-dimensional systems

Citation Formats

Malla, Rajesh K., and Raikh, M. E. Resonant reflection of interacting electrons from an impurity in a quantum wire: Interplay of Zeeman and spin-orbit effects. United States: N. p., 2018. Web. doi:10.1103/physrevb.98.144202.
Malla, Rajesh K., & Raikh, M. E. Resonant reflection of interacting electrons from an impurity in a quantum wire: Interplay of Zeeman and spin-orbit effects. United States. https://doi.org/10.1103/physrevb.98.144202
Malla, Rajesh K., and Raikh, M. E. Tue . "Resonant reflection of interacting electrons from an impurity in a quantum wire: Interplay of Zeeman and spin-orbit effects". United States. https://doi.org/10.1103/physrevb.98.144202. https://www.osti.gov/servlets/purl/1609738.
@article{osti_1609738,
title = {Resonant reflection of interacting electrons from an impurity in a quantum wire: Interplay of Zeeman and spin-orbit effects},
author = {Malla, Rajesh K. and Raikh, M. E.},
abstractNote = {A single-channel quantum wire with two well-separated Zeeman subbands and in the presence of weak spin-orbit coupling is considered. An impurity level which is split off the upper subband is degenerate with the continuum of the lower subband. We show that, when the Fermi level lies in the vicinity of the impurity level, the transport is completely blocked. This is the manifestation of the effect of resonant reflection and can be viewed as resonant tunneling between left-moving and right-moving electrons via the impurity level. We incorporate electron-electron interactions and study their effect on the shape of the resonant-reflection profile. Furthermore, this profile becomes a two-peak structure, where one peak is caused by resonant reflection itself, while the origin of the other peak is reflection from the Friedel oscillations of the electron density surrounding the impurity.},
doi = {10.1103/physrevb.98.144202},
url = {https://www.osti.gov/biblio/1609738}, journal = {Physical Review B},
issn = {2469-9950},
number = 14,
volume = 98,
place = {United States},
year = {2018},
month = {10}
}

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