Abstract

A theory of Electric Dipole Spin Resonance (EDSR), that is caused by various mechanisms of spin-orbit coupling, is developed as applied to free electrons in a parabolic quantum well. Choosing a parabolic shape of the well has allowed us to find explicit expressions for the EDSR intensity and its dependence on the magnetic field direction in terms of the basic parameters of the Hamiltonian. By using these expressions, we have investigated and compared the effect of specific mechanisms of spin orbit (SO) coupling and different polarizations of ac electric field on the intensity of EDSR. Angular dependences of the EDSR intensity are indicative of the relative contributions of the competing mechanisms of SO coupling. Our results show that electrical manipulating electron spins in quantum wells is generally highly efficient, especially by an in-plane ac electric field.

Highlights

  • Efficient manipulation of electron spins by an external ac field is one of the central problems of semiconductor spintronics,[1,2] quantum computing[3] and information processing.[4]

  • In this paper we develop a general theory of electric dipole spin resonanceEDSRin QWs which is caused by the standard Hamiltonians of the Horbk, ␴͒ type for two basic geometries: with the ac electric field in the QW plane and perpendicular to this plane

  • Our results show that electric dipole spin resonance is especially strong when it is excited by an in-plane electrical field

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Summary

INTRODUCTION

Efficient manipulation of electron spins by an external ac field is one of the central problems of semiconductor spintronics,[1,2] quantum computing[3] and information processing.[4]. We prove that the efficiency of different mechanisms depends strongly on the polarization of the ac electric field E To consider all these problems in a framework of an unified approach and to derive analytical expressions for the transition probabilities, we make two basic assumptions. II we develop a theoretical approach to an electron in a parabolic quantum well and derive operator expressions for the basic variables like the coordinates and kinetic momenta While we apply these results for calculating the EDSR intensity, they are rather general and can be applied to different problems related to parabolic quantum wells.

AN ELECTRON IN A PARABOLIC WELL A SUBJECT TO A TILTED MAGNETIC FIELD
Diagonalization of the Hamiltonian
INTENSITY OF EDSR
Electric field perpendicular to the QW plane
Electric field in the quantum well plane
Polarization dependence of EDSR intensity
Dependence of EDSR on the polar angle
Azimuth dependence of EDSR intensity
Experimental data
Angular dependence of EDSR
DISCUSSION
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