# Measuring electron energy distribution by current fluctuations

## TL;DR

This paper extends the concept of local noise sensors to measure the energy distribution of electrons in a non-equilibrium metal, finding it resembles a Fermi distribution despite sensor nonlinearities.

## Contribution

It introduces a method to measure energy-resolved electron distributions inside non-equilibrium metals using a diffusive InAs nanowire sensor.

## Key findings

- f(ε) matches Fermi distribution in non-equilibrium conditions
- Sensor nonlinearities do not prevent accurate energy distribution measurement
- Method enables local energy distribution analysis in non-equilibrium conductors

## Abstract

A recent concept of local noise sensor is extended to measure the energy resolved electronic energy distribution $f(\varepsilon)$ at a given location inside a non-equilibrium normal metal interconnect. A quantitative analysis of $f(\varepsilon)$ is complicated because of a nonlinear differential resistance of the noise sensor, represented by a diffusive InAs nanowire. Nevertheless, by comparing the non-equilibrium results with reference equilibrium measurements, we conclude that $f(\varepsilon)$ is indistinguishable from the Fermi distribution.