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Berry phase and spin precession without magnetic fields in semiconductor quantum dots

Author

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  • Sanjay Prabhakar

    (Gordon State College
    The MS2Discovery Interdisciplinary Research Institute, M2NeT Laboratory, Wilfrid Laurier University)

  • Roderick Melnik

    (The MS2Discovery Interdisciplinary Research Institute, M2NeT Laboratory, Wilfrid Laurier University
    BCAM)

Abstract

We investigate electric field control of spin manipulation through Berry phase in III-V semiconductor quantum dots. By utilizing degenerate and non-degenerate perturbation theories, we diagonalize the total Hamiltonian of a semiconductor quantum dot and express the solution of time dependent Schrödinger equation in terms of complete and incomplete elliptic integrals of the second kind, respectively. This allows us to investigate the interplay between the Rashba and Dresselhaus spin-orbit couplings. In particular, we provide theoretical descriptions of several novel properties focusing on spin manipulation through (a) Berry phase, (b) geometric phase and (c) spin echo phenomenon followed by a strong beating patterns during the adiabatic transport of the quantum dots. Graphical abstract

Suggested Citation

  • Sanjay Prabhakar & Roderick Melnik, 2019. "Berry phase and spin precession without magnetic fields in semiconductor quantum dots," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 92(12), pages 1-7, December.
    • Handle: RePEc:spr:eurphb:v:92:y:2019:i:12:d:10.1140_epjb_e2019-100268-3
    DOI: 10.1140/epjb/e2019-100268-3
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    Solid State and Materials;

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