Effect of exchange interaction on the spin fluctuations of localized electrons

Abstract

In this paper a microscopic theory of spin fluctuations in an ensemble of electrons localized on donors in a bulk semiconductor has been developed. Both the hyperfine interaction of the electron spin with spins of lattice nuclei and the exchange interaction between the electrons have been taken into account. We propose a model of clusters to calculate spin noise spectra of the ensemble of localized charge carriers. It has been shown that the electron-electron exchange interaction leads to an effective averaging of random nuclear fields and a shift of the peak in the spin-fluctuation spectrum towards lower frequencies.

9 pages, 3 figures

References in corpus (8)

• Spin noise spectroscopy in GaAs (110) quantum wells: Access to intrinsic spin lifetimes and equilibrium electron dynamics
• Semiconductor Spin Noise Spectroscopy: Fundamentals, Accomplishments, and Challenges
• Measurement of Temporal Correlations of the Overhauser Field in a Double Quantum Dot
• Spin relaxation of localized electrons in n-type semiconductors
• Level statistics of disordered spin-1/2 systems and its implications for materials with localized Cooper pairs
• Spin noise in quantum dot ensembles
• A quantitative study of spin noise spectroscopy in a classical gas of ${}^{41}$K atoms
• Spin-orbit effect on electron-electron interaction and fine structure of electron complexes in quantum dots

Cited by in corpus (16)

• The Theory of Spin Noise Spectroscopy: A Review
• Interplay of Electron and Nuclear Spin Noise in GaAs
• Influcence of the nuclear electric quadrupolar interaction on the coherence time of hole- and electron-spins confined in semiconductor quantum dots
• Spatiotemporal spin fluctuations caused by spin-orbit-coupled Brownian motion
• Spin noise of localized electrons: Interplay of hopping and hyperfine interaction
• Flux $1/f^{\alpha }$ noise in 2D Heisenberg spin glasses: effects of weak anisotropic interactions
• Spin noise of localized electrons interacting with optically cooled nuclei
• Spin noise in a quantum dot ensemble: from a quantum mechanical to a semi-classical description
• Spin dynamics of hopping electrons in quantum wires: algebraic decay and noise
• Magnetic field noise analyses generated by the interactions between a nitrogen vacancy center diamond and surface and bulk impurities
• Optical measurement of electron spins in quantum dots: Quantum Zeno effects
• Universal power law decay of spin polarization in double quantum dot
• Cross-correlation spectra in interacting quantum dot systems
• Evolution of the inhomogeneously-broadened spin noise spectrum with ac drive
• Anomalous light-induced broadening of the spin-noise resonance in cesium vapor
• Spin excitations in systems with hopping electron transport and strong position disorder in a large magnetic field