{ "id": "0807.2624", "version": "v1", "published": "2008-07-16T18:15:36.000Z", "updated": "2008-07-16T18:15:36.000Z", "title": "Theory of electric dipole spin resonance in quantum dots: Mean field theory with Gaussian fluctuations and beyond", "authors": [ "Emmanuel I. Rashba" ], "comment": "15 pages, no figures", "doi": "10.1103/PhysRevB.78.195302", "categories": [ "cond-mat.mes-hall" ], "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.", "revisions": [ { "version": "v1", "updated": "2008-07-16T18:15:36.000Z" } ], "analyses": { "subjects": [ "71.70.Ej", "73.21.La", "73.63.Kv", "76.20.+q" ], "keywords": [ "electric dipole spin resonance", "mean field theory", "quantum dots", "gaussian fluctuations", "electron spin" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Physical Review B", "year": 2008, "month": "Nov", "volume": 78, "number": 19, "pages": 195302 }, "note": { "typesetting": "TeX", "pages": 15, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2008PhRvB..78s5302R" } } }