Theory of electric dipole spin resonance in quantum dots: Mean field theory with Gaussian fluctuations and beyond

Abstract

Very recently, the electric dipole spin resonance (EDSR) of single electrons in quantum dots was discovered by three independent experimental groups. Remarkably, these observations revealed three different mechanisms of EDSR: coupling of electron spin to its momentum (spin-orbit), to the operator of its position (inhomogeneous Zeeman coupling), and to the hyperfine Overhauser field of nuclear spins. In this paper, I present a unified microscopic theory of these resonances in quantum dots. A mean field theory, derived for all three mechanisms and based on retaining only two-spin correlators, justifies applying macroscopic description of nuclear polarization to the EDSR theory. In the framework of the mean field theory, a fundamental difference in the time dependence of EDSR inherent of these mechanisms is revealed; it changes from the Rabi-type oscillations to a nearly monotonic growth. The theory provides a regular procedure to account for the higher nuclear-spin correlators that become of importance for a wider time span and can change the asymptotic behavior of EDSR. It also allows revealing the effect of electron spin dynamics on the effective coupling between nuclear spins.

15 pages, no figures

References in corpus (13)

• Driven coherent oscillations of a single electron spin in a quantum dot
• Coherent control of a single electron spin with electric fields
• Electrically driven single electron spin resonance in a slanting Zeeman field
• Theory of electron spin decoherence by interacting nuclear spins in a quantum dot
• Hyperfine-mediated gate-driven electron spin resonance
• Dynamic Nuclear Polarization with Single Electron Spins
• Large nuclear Overhauser fields detected in vertically-coupled double quantum dots
• Universal phase shift and non-exponential decay of driven single-spin oscillations
• Semiclassical dynamics and long time asymptotics of the central-spin problem in a quantum dot
• Nuclear Tuning and Detuning of the Electron Spin Resonance in a Quantum Dot
• Theory of Electric Dipole Spin Resonance in a Parabolic Quantum Well
• Quantum versus classical hyperfine-induced dynamics in a quantum dot
• Parametric spin excitations in lateral quantum dots

Cited by in corpus (4)

• Electron Spin Dephasing due to Hyperfine Interactions with a Nuclear Spin Bath
• Pure quantum dephasing of a solid state electron spin qubit in a large nuclear spin bath coupled by long-range hyperfine-mediated interactions
• Nuclear Spins in Nanostructures
• Spin interactions, relaxation and decoherence in quantum dots