Magnon-driven chiral charge and spin pumping and electron-magnon scattering from time-dependent quantum transport combined with classical atomistic spin dynamics
Abhin Suresh, Utkarsh Bajpai, and Branislav K. Nikolić
Phys. Rev. B 101, 214412 (2020) - Published 5 June, 2020
Using newly developed quantum-classical hybrid framework, we investigate interaction between spin-polarized conduction electrons and a single spin wave (SW) coherently excited within a metallic ferromagnetic nanowire. The SW is described by classical atomistic spin dynamics as a collection of precessing localized magnetic moments on each atom. The conduction electrons are described quantum mechanically using time-dependent nonequilibrium Green functions. When the nanowire hosting SW is attached to two normal metal (NM) leads, with no dc bias voltage applied between them, the SW pumps chiral electronic charge and spin currents into the leads. Their direction is tied to the direction of SW propagation and they scale linearly with the frequency of the precession. This is in contrast to standard pumping by the uniform precession mode with identical spin currents flowing in both directions and accompanying charge current or experimentally observed [C. Ciccarelli et al., Nat. Nanotechnol. 10, 50 (2014); M. Evelt et al., Phys. Rev. B 95, 024408 (2017)] magnonic charge pumping which was interpreted by requiring spin-orbit (SO) coupling effects. Conversely, the mechanism behind our prediction is nonadiabaticity due to time-retardation effects—motion of localized magnetic moment affects conduction electron spin in a retarded way, so that it takes a finite time until the electron spin reacts to the motion of the classical vector. This makes the time-dependent nonequilibrium spin density misaligned with ‘adiabatic direction,’ even for zero SO coupling and in the absence of magnetic or spin-orbit impurities. We visualize retardation effects by computing the spatial profile of nonadiabaticity angle between the electronic nonequilibrium spin density and ‘adiabatic direction.’ Upon injecting dc spin-polarized charge current, electrons interact with SW where outflowing electronic charge and spin current are modified due to both scattering off time-dependent potential generated by the SW and superposition with the currents pumped by the SW itself. Using Lorentzian voltage pulse to excite leviton out of the Fermi sea, which carries one electron charge with no accompanying electron-hole pairs and behaves as solitonlike quasiparticle, we describe how a single electron interacts with a single SW.