Spin noise of localized electrons: Interplay of hopping and hyperfine interaction

Abstract

The theory of spin fluctuations is developed for an ensemble of localized electrons taking into account both hyperfine interaction of electron and nuclear spins and electron hopping between the sites. The analytical expression for the spin noise spectrum is derived for arbitrary relation between the electron spin precession frequency in the field of the nuclear fluctuation and the hopping rate. An increase in the hopping rate results in the drastic change of the spin noise spectrum. The effect of an external magnetic field is briefly addressed.

5 pages, 3 figures

References in corpus (4)

• Spin relaxation of localized electrons in n-type semiconductors
• Two-color spin noise spectroscopy: Using spin fluctuation correlations to reveal homogeneous linewidths within quantum dot ensembles
• Spin noise in quantum dot ensembles
• Dyakonov-Perel spin relaxation near metal-insulator transition and in hopping transport

Cited by in corpus (6)

• Electrical spin orientation, spin-galvanic and spin-Hall effects in disordered two-dimensional systems
• Magnetic field noise analyses generated by the interactions between a nitrogen vacancy center diamond and surface and bulk impurities
• Simultaneous measurements of nuclear spin heat capacity, temperature and relaxation in GaAs microstructures
• Unveiling the electron-nuclear spin dynamics in an n-doped InGaAs epilayer by spin noise spectroscopy
• Spin excitations in systems with hopping electron transport and strong position disorder in a large magnetic field
• Spin qubit shuttling between coupled quantum dots with inhomogeneous Landé g-tensors