Spin dynamics of hopping electrons in quantum wires: algebraic decay and noise

Abstract

We study theoretically spin decoherence and intrinsic spin noise in semiconductor quantum wires caused by an interplay of electron hopping between the localized states and the hyperfine interaction of electron and nuclear spins. At a sufficiently low density of localization sites the hopping rates have an exponentially broad distribution. It allows the description of the spin dynamics in terms of closely-situated "pairs" of sites and single "reaching" states, from which the series of hops result in the electron localized inside a "pair". The developed analytical model and numerical simulations demonstrate disorder-dependent algebraic tails in the spin decay and power-law singularity-like features in the low-frequency part of the spin noise spectrum.

5 pages, 3 figures + supplementary material

References in corpus (9)

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• A Semiconductor Nanowire-Based Superconducting Qubit
• Spin noise in quantum dot ensembles
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• Influcence of the nuclear electric quadrupolar interaction on the coherence time of hole- and electron-spins confined in semiconductor quantum dots
• Spin noise of localized electrons: Interplay of hopping and hyperfine interaction
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• Hyperfine-induced spin relaxation of a diffusively moving carrier in low dimensions: implications for spin transport in organic semiconductors
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Cited by in corpus (10)

• Electrical spin orientation, spin-galvanic and spin-Hall effects in disordered two-dimensional systems
• Origin of the $1/f^{\alpha }$-Spectral-Noise in Chaotic and Regular Quantum Systems
• Universal power law decay of spin polarization in double quantum dot
• Raman scattering model of the spin noise
• Electric current noise in mesoscopic organic semiconductors
• Anomalous light-induced broadening of the spin-noise resonance in cesium vapor
• Kondo enhancement of current induced spin accumulation in a quantum dot
• A two-channel model for Spin-relaxation noise
• Acoustically induced coherent spin trapping
• Multiclass classification of dephasing channels