Kramers Degeneracy and Spin Inversion in a Lateral Quantum Dot

We show that the axial symmetry of the Bychkov–Rashba interaction can be exploited to produce electron spin-flip in a circular quantum dot, without lifting the time reversal symmetry. In order to elucidate this effect, we consider ballistic electron transmission through a two-dimensional circular bi...

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Main Authors: Konstantin Pichugin, Antonio Puente, Rashid Nazmitdinov
Format: Article
Language:English
Published: MDPI AG 2020-12-01
Series:Symmetry
Subjects:
Online Access:https://www.mdpi.com/2073-8994/12/12/2043
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author Konstantin Pichugin
Antonio Puente
Rashid Nazmitdinov
author_facet Konstantin Pichugin
Antonio Puente
Rashid Nazmitdinov
author_sort Konstantin Pichugin
collection DOAJ
description We show that the axial symmetry of the Bychkov–Rashba interaction can be exploited to produce electron spin-flip in a circular quantum dot, without lifting the time reversal symmetry. In order to elucidate this effect, we consider ballistic electron transmission through a two-dimensional circular billiard coupled to two one-dimensional electrodes. Using the tight-binding approximation, we derive the scattering matrix and the effective Hamiltonian for the considered system. Within this approach, we found the conditions for the optimal realization of this effect in the transport properties of the quantum dot. Numerical analysis of the system, extended to the case of two-dimensional electrodes, confirms our findings. The relatively strong quantization of the quantum dot can make this effect robust against the temperature effects.
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spelling doaj.art-397bb407782b4117b1ae575cbede0c0f2023-11-21T00:08:41ZengMDPI AGSymmetry2073-89942020-12-011212204310.3390/sym12122043Kramers Degeneracy and Spin Inversion in a Lateral Quantum DotKonstantin Pichugin0Antonio Puente1Rashid Nazmitdinov2Kirensky Institute of Physics, Federal Research Center KSC Siberian Branch, Russian Academy of Sciences, 660036 Krasnoyarsk, RussiaDepartament de Física, Universitat de les Illes Balears, E-07122 Palma de Mallorca, SpainBogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, 141980 Dubna, RussiaWe show that the axial symmetry of the Bychkov–Rashba interaction can be exploited to produce electron spin-flip in a circular quantum dot, without lifting the time reversal symmetry. In order to elucidate this effect, we consider ballistic electron transmission through a two-dimensional circular billiard coupled to two one-dimensional electrodes. Using the tight-binding approximation, we derive the scattering matrix and the effective Hamiltonian for the considered system. Within this approach, we found the conditions for the optimal realization of this effect in the transport properties of the quantum dot. Numerical analysis of the system, extended to the case of two-dimensional electrodes, confirms our findings. The relatively strong quantization of the quantum dot can make this effect robust against the temperature effects.https://www.mdpi.com/2073-8994/12/12/2043quantum dotKramers degeneracyspin-orbit interactiontight-binding approach
spellingShingle Konstantin Pichugin
Antonio Puente
Rashid Nazmitdinov
Kramers Degeneracy and Spin Inversion in a Lateral Quantum Dot
Symmetry
quantum dot
Kramers degeneracy
spin-orbit interaction
tight-binding approach
title Kramers Degeneracy and Spin Inversion in a Lateral Quantum Dot
title_full Kramers Degeneracy and Spin Inversion in a Lateral Quantum Dot
title_fullStr Kramers Degeneracy and Spin Inversion in a Lateral Quantum Dot
title_full_unstemmed Kramers Degeneracy and Spin Inversion in a Lateral Quantum Dot
title_short Kramers Degeneracy and Spin Inversion in a Lateral Quantum Dot
title_sort kramers degeneracy and spin inversion in a lateral quantum dot
topic quantum dot
Kramers degeneracy
spin-orbit interaction
tight-binding approach
url https://www.mdpi.com/2073-8994/12/12/2043
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