Non-Markovian feature of the classical Hall effect

TL;DR

This paper investigates how non-Markovian dynamics influence the classical Hall effect, deriving the Hall angle dependence on magnetic fields and proposing a method to measure system memory time experimentally.

Contribution

It introduces a novel approach to analyze the classical Hall effect considering non-Markovian effects and suggests an experimental method to determine memory time in such systems.

Findings

Derived the dependence of the Hall angle on magnetic field considering non-Markovian dynamics.

Compared theoretical results with experimental data for zinc.

Proposed a method to measure memory time experimentally.

Abstract

The classical Hall effect resulting from the impact of external magnetic and electric fields on the non-Markovian dynamics of charge carriers is studied. The dependence of the tangent of the Hall angle on the magnetic field is derived and compared with the experimental data for Zn. The method is proposed to determine experimentally the memory time in a system.