Regular Article

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

¹ Department of Natural Sciences, Gordon State College, 419 College Drive, Barnesville, GA 30204, USA
² The MS2Discovery Interdisciplinary Research Institute, M 2NeT Laboratory, Wilfrid Laurier University, Waterloo, ON N2L 3C5, Canada
³ BCAM, Alameda Mazarredo 14, 48080 Bilbao, Spain

^a e-mail: sprabhakar@gordonstate.edu

Received: 19 May 2019
Received in final form: 16 October 2019
Published online: 2 December 2019

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.