# On 1/f-noise of electron in phonon field

## TL;DR

This paper derives an exact propagator for an electron interacting with phonons, revealing that energy exchange uncertainties induce flicker noise in the electron's diffusion rate, beyond standard golden rule approximations.

## Contribution

It provides an exact propagator for electron-phonon interactions that accounts for flicker noise effects beyond Fermi's golden rule approximation.

## Key findings

- Uncertainties in energy exchanges cause flicker fluctuations in diffusion rates.
- The approach extends beyond the simplest Fermi's golden rule approximation.
- Reveals fundamental noise characteristics in electron transport due to phonon interactions.

## Abstract

Exact propagator of density matrix of particle (electron) under influence of thermal vibrations of its medium (phonons) is treated in simplest approximation beyond the Fermi's golden rule. It is shown that uncertainties \,$\sim\h/t$\, in energy exchanges with the medium give rise to flicker fluctuations in rate of diffusion (diffusivity) of the particle