Rashba coupling in quantum dots: An exact solution

E. Tsitsishvili, G. S. Lozano, and A. O. Gogolin
Phys. Rev. B 70, 115316 – Published 22 September 2004

Abstract

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.

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  • Received 17 February 2004

DOI:https://doi.org/10.1103/PhysRevB.70.115316

©2004 American Physical Society

Authors & Affiliations

E. Tsitsishvili1,2, G. S. Lozano3,4, and A. O. Gogolin3

  • 1Institut für Theorie der Kondensierten Materie, Universität Karlsruhe, D-76128 Karlsruhe, Germany
  • 2Institute for Cybernetics, Academy of Science, S. Euli 5, 380086, Tbilisi, Georgian Republic
  • 3Department of Mathematics, Imperial College London, London SW7 2BZ, United Kingdom
  • 4Departamento de Física, FCEyN, Universidad de Buenos Aires, cc 1428, Buenos Aires, Argentina

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Issue

Vol. 70, Iss. 11 — 15 September 2004

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