Shot Noise of Spin-Decohering Transport in Spin-Orbit Coupled Nanostructures

Abstract

We generalize the scattering theory of quantum shot noise to include the full spin-density matrix of electrons injected from a spin-filtering or ferromagnetic electrode into a quantum-coherent nanostructure governed by various spin-dependent interactions. This formalism yields the spin-resolved shot noise power for different experimental measurement setups--with ferromagnetic source and ferromagnetic or normal drain electrodes--whose evaluation for the diffusive multichannel quantum wires with the Rashba (SO) spin-orbit coupling shows how spin decoherence and dephasing lead to substantial enhancement of charge current fluctuations (characterized by Fano factors $>1/3$). However, these processes and the corresponding shot noise increase are suppressed in narrow wires, so that charge transport experiments measuring the Fano factor $F_{\uparrow \to \uparrow \downarrow }$ in a ferromagnet/SO-coupled-wire/paramagnet setup also quantify the degree of phase-coherence of transported spin--we predict a one-to-one correspondence between the magnitude of the spin polarization vector and $F_{\uparrow \to \uparrow \downarrow }$.

arXiv comment8 pages, 3 figure; enhanced with 2 new figures

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• Shot Noise Probing of Magnetic Ordering in Zigzag Graphene Nanoribbons
• Spin and Charge Shot Noise in Mesoscopic Spin Hall Systems
• Shot noise in magnetic tunneling structures with two-level quantum dots
• Shot noise of charge and spin transport in a junction with a precessing molecular spin
• Finite temperature quantum noise correlations as a probe for topological helical edge modes
• Theory of charge-to-spin conversion under quantum confinement
• Colored ${\Delta }_T$ noise probes the topological character of edge modes
• Spin relaxation: From 2D to 1D