Giant suppression of the Drude conductivity due to quantum interference in disordered two-dimensional systems

TL;DR

This study investigates how quantum interference suppresses Drude conductivity in disordered two-dimensional quantum well structures, revealing a new model that accounts for localization effects and extends understanding of electron transport in strongly disordered systems.

Contribution

The paper introduces a modified model of conductivity that incorporates localization length constraints, extending weak localization theory to strongly disordered 2D systems.

Findings

Quantum interference significantly suppresses conductivity in disordered 2D systems.

The combined dephasing and localization times determine conductivity behavior.

The model explains experimental data across wide temperature and disorder ranges.

Abstract

Temperature and magnetic field dependences of the conductivity in heavily doped, strongly disordered two-dimensional quantum well structures GaAs/In$_x$Ga$_{1-x}$As/GaAs are investigated within wide conductivity and temperature ranges. Role of the interference in the electron transport is studied in the regimes when the phase breaking length $L_\phi$ crosses over the localization length $\xi\sim l\exp{(\pi k_Fl/2)}$ with lowering temperature, where $k_F$ and $l$ are the Fermi quasimomentum and mean free path, respectively. It has been shown that all the experimental data can be understood within framework of simple model of the conductivity over delocalized states. This model differs from the conventional model of the weak localization developed for $k_Fl\gg 1$ and $L_\phi\ll\xi$ by one point: the value of the quantum interference contribution to the conductivity is restricted not only by the phase breaking length $L_\phi$ but by the localization length $\xi$ as well. We show that just the quantity $(\tau_\phi^\ast)^{-1}=\tau_\phi^{-1}+\tau_\xi^{-1}$ rather than $\tau_\phi^{-1}$, where $\tau_\phi\propto T^{-1}$ is the dephasing time and $\tau_\xi\sim\tau\exp(\pi k_F l)$, is responsible for the temperature and magnetic field dependences of the conductivity over the wide range of temperature and disorder strength down to the conductivity of order $10^{-2} e^2/h$.