Electrically induced spin resonance fluorescence. I. Theory

A. Nogaret and F. M. Peeters
Phys. Rev. B 76, 075311 – Published 8 August 2007

Abstract

We calculate the fluorescence of electron spins confined to a plane and driven into resonance by a magnetic field gradient and a constant magnetic field applied at right angles to each other. We solve the equation of motion of two-dimensional electrons in the magnetic field gradient to derive the dispersion curve of spin oscillators, the amplitude of electron oscillations, the effective magnetic field sensed by the electron spin, and the rate at which electrons are injected from an electrode into spin oscillators. We then switch on the interaction between the spin magnetic dipole and the electromagnetic field to find the fluorescence power radiated by the individual spin oscillators. The rate of radiative decay is first derived, followed by the probability of sequential photon emission whereby a series of spontaneous decays occurs at random times separated by intervals during which the spin performs Rabi oscillations. The quantum correlations between random radiative decays manifest as bursts of emission at regular intervals along the wire. We integrate all multiphoton processes to obtain an exact analytical expression for the radiated electromagnetic power. The present theory obtains all parameters of the problem including magnetodipole coupling, the particle dwell time in the magnetic field gradient, and the spin polarization of the incoming current. The output power contains a fine structure arising from the anharmonicity of electron oscillations and from nonlinear optical effects which both give satellite emission peaks at odd multiples of the fundamental frequency.

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  • Received 21 February 2007

DOI:https://doi.org/10.1103/PhysRevB.76.075311

©2007 American Physical Society

Authors & Affiliations

A. Nogaret*

  • Department of Physics, University of Bath, Claverton Down, Bath BA2 7AY, United Kingdom

F. M. Peeters

  • Department of Physics, University of Antwerp, Groenenborgerlaan 171, B-2020 Antwerpen, Belgium

  • *a.r.nogaret@bath.ac.uk

See Also

Electrically induced spin resonance fluorescence. II. Fluorescence spectra

A. Nogaret, N. J. Lambert, and F. M. Peeters
Phys. Rev. B 76, 075312 (2007)

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Vol. 76, Iss. 7 — 15 August 2007

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