Theory of Tunneling between Two-Dimensional Electron Layers Driven by Spin Pumping: Adiabatic Regime and Beyond

TL;DR

This paper develops a comprehensive theoretical framework for spin transport in 2D electron systems driven by spin pumping, extending analysis beyond the adiabatic regime using Floquet-Keldysh formalism, revealing frequency-dependent behaviors.

Contribution

It introduces a non-perturbative Floquet-Keldysh approach to analyze spin and charge tunneling currents in 2D systems driven at various frequencies, including non-adiabatic regimes.

Findings

Analytical results recover adiabatic behavior at low frequencies.

Numerical results show deviations at higher frequencies.

Insights into magnetization dynamics influence on tunneling transport.

Abstract

Tunneling spectroscopy between parallel two-dimensional (2D) electronic systems provides a powerful method to probe the underlying electronic properties by measuring tunneling conductance. In this work, we present a theoretical framework for spin transport in 2D-to-2D tunneling systems, driven by spin pumping. This theory applies to a vertical heterostructure where two layers of metallic 2D electron systems are separated by an insulating barrier, with one layer exchange-coupled to a magnetic layer driven at resonance. Utilizing a non-perturbative Floquet-Keldysh formalism, we derive general expressions for the tunneling spin and charge currents across a broad range of driving frequencies, extending beyond the traditional adiabatic pumping regime. At low frequencies, we obtain analytical results that recover the known behaviors in the adiabatic regime. However, at higher frequencies, our numerical findings reveal significant deviations in the dependence of spin and charge currents on both frequency and precession angle. This work offers fresh insights into the role of magnetization dynamics in tunneling transport, opening up new avenues for exploring non-adiabatic spin pumping phenomena.