Quantum theory of electromechanical noise and momentum transfer statistics

TL;DR

This paper develops a quantum mechanical framework to analyze the statistics of momentum transfer from conduction electrons to the lattice, aligning with classical results and extending to detailed moments in specific conductors.

Contribution

It introduces a quantum theory for electromechanical noise and momentum transfer statistics, providing new insights beyond classical models.

Findings

Electromechanical noise power matches semiclassical predictions.

All moments of transferred momentum are computed for a single-channel conductor.

Comparison with transmitted charge statistics reveals new correlations.

Abstract

A quantum mechanical theory is developed for the statistics of momentum transferred to the lattice by conduction electrons. Results for the electromechanical noise power in the semiclassical diffusive transport regime agree with a recent theory based on the Boltzmann-Langevin equation. All moments of the transferred momentum are calculated for a single-channel conductor with a localized scatterer, and compared with the known statistics of transmitted charge.