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