Rashba coupling in quantum dots: An exact solution

We present an analytic solution to one-particle Schrödinger equation for an electron in a quantum dot with hard-wall confining potential in the presence of both magnetic field and spin-orbit coupling. Wave-functions, energy levels, and spin-flip relaxation times are calculated to all orders in the s...

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Detalles Bibliográficos
Publicado: 2004
Materias:
acceleration
analytic method
article
calculation
electric potential
electron
energy
magnetic field
magnetism
mathematical analysis
parameter
quantum mechanics
relaxation time
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_01631829_v70_n11_p115316_Tsitsishvili
http://hdl.handle.net/20.500.12110/paper_01631829_v70_n11_p115316_Tsitsishvili
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_01631829_v70_n11_p115316_Tsitsishvili
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spelling paper:paper_01631829_v70_n11_p115316_Tsitsishvili2023-06-08T15:14:02Z Rashba coupling in quantum dots: An exact solution acceleration analytic method article calculation electric potential electron energy magnetic field magnetism mathematical analysis parameter quantum mechanics relaxation time We present an analytic solution to one-particle Schrödinger equation for an electron in a quantum dot with hard-wall confining potential in the presence of both magnetic field and spin-orbit coupling. Wave-functions, energy levels, and spin-flip relaxation times are calculated to all orders in the spin-orbit coupling and the magnetic field. Without the orbital contribution of the magnetic field, we find that the effective gyromagnetic ratio is strongly suppressed by the spin-orbit coupling. The spin-flip relaxation rate then has a maximum as a function of the spin-orbit coupling and is therefore suppressed in both the weak- and strong-coupling limits. In the presence of the orbital contribution of the magnetic field the effective gyromagnetic ratio changes sign in some cases. 2004 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_01631829_v70_n11_p115316_Tsitsishvili http://hdl.handle.net/20.500.12110/paper_01631829_v70_n11_p115316_Tsitsishvili
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic acceleration
analytic method
article
calculation
electric potential
electron
energy
magnetic field
magnetism
mathematical analysis
parameter
quantum mechanics
relaxation time
spellingShingle acceleration
analytic method
article
calculation
electric potential
electron
energy
magnetic field
magnetism
mathematical analysis
parameter
quantum mechanics
relaxation time
Rashba coupling in quantum dots: An exact solution
topic_facet acceleration
analytic method
article
calculation
electric potential
electron
energy
magnetic field
magnetism
mathematical analysis
parameter
quantum mechanics
relaxation time
description We present an analytic solution to one-particle Schrödinger equation for an electron in a quantum dot with hard-wall confining potential in the presence of both magnetic field and spin-orbit coupling. Wave-functions, energy levels, and spin-flip relaxation times are calculated to all orders in the spin-orbit coupling and the magnetic field. Without the orbital contribution of the magnetic field, we find that the effective gyromagnetic ratio is strongly suppressed by the spin-orbit coupling. The spin-flip relaxation rate then has a maximum as a function of the spin-orbit coupling and is therefore suppressed in both the weak- and strong-coupling limits. In the presence of the orbital contribution of the magnetic field the effective gyromagnetic ratio changes sign in some cases.
title Rashba coupling in quantum dots: An exact solution
title_short Rashba coupling in quantum dots: An exact solution
title_full Rashba coupling in quantum dots: An exact solution
title_fullStr Rashba coupling in quantum dots: An exact solution
title_full_unstemmed Rashba coupling in quantum dots: An exact solution
title_sort rashba coupling in quantum dots: an exact solution
publishDate 2004
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_01631829_v70_n11_p115316_Tsitsishvili
http://hdl.handle.net/20.500.12110/paper_01631829_v70_n11_p115316_Tsitsishvili
_version_ 1768544174697611264

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