Temperature dependent weak field Hall resistance in 2D carrier systems

TL;DR

This paper uses semiclassical transport theory to analyze how temperature affects the weak-field Hall resistance in low-density 2D systems, explaining recent experimental puzzles and predicting future behavior.

Contribution

It provides a theoretical explanation for the non-monotonic temperature dependence of Hall resistance in dilute 2D systems and predicts its behavior at higher temperatures.

Findings

Hall coefficient shows non-monotonic temperature dependence in strongly screened systems

Explains the decrease in Hall resistance with increasing temperature in dilute 2D hole systems

Predicts the Hall coefficient will increase with temperature at higher regimes

Abstract

Using the Drude-Boltzmann semiclassical transport theory, we calculate the weak-field Hall resistance of a two-dimensional system at low densities and temperatures, assuming carrier scattering by screened random charged impurity centers. The temperature dependent 2D Hall coefficient shows striking non-monotonicity in strongly screened systems, and in particular, we qualitatively explain the recent puzzling experimental observation of a decreasing Hall resistance with increasing temperature in a dilute 2D hole system. We predict that the impurity scattering limited Hall coefficient will eventually increase with temperature at higher temperatures.