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

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 $L_{\varphi }$ crosses over the localization length $\xi \sim l\exp (\pi k_{F}l/2)$ 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 $k_{F}l\gg 1$ and $L_{\varphi }\ll \xi$ by one point: the value of the quantum interference contribution to the conductivity is restricted not only by the phase breaking length $L_{\varphi }$ but by the localization length $\xi$ as well. We show that just the quantity $({\tau }_{\varphi }^{\ast }{)}^{-1}={\tau }_{\varphi }^{-1}+{\tau }_{\xi }^{-1}$ rather than ${\tau }_{\varphi }^{-1}$, where ${\tau }_{\varphi }\propto T^{-1}$ 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 $10^{-2}{e}^2/h$.

11 pages, 15 figures

References in corpus (4)

• Metal-insulator transition in a weakly interacting many-electron system with localized single-particle states
• Interacting electrons in disordered wires: Anderson localization and low-temperature transport
• Dephasing and weak localization in disordered Luttinger liquid
• Nonlinear screening and percolative transition in a two-dimensional electron liquid

Cited by in corpus (16)

• Anderson Transitions
• Evidence for spin-flip scattering and local moments in dilute fluorinated graphene
• Observation of Anderson localization in ultrathin films of three-dimensional topological insulators
• The 2D metal-insulator transition as a strong localization induced crossover phenomenon
• Quantum Coherence at Low Temperatures in Mesoscopic Systems: Effect of Disorder
• Anderson Transitions: Criticality, Symmetries, and Topologies
• Renormalization of hole-hole interaction at decreasing Drude conductivity
• Anderson localization crossover in 2D Si systems: The past and the present
• Disorder and temperature renormalization of interaction contribution to the conductivity in two-dimensional In${}_x$Ga${}_{1-x}$As electron systems
• Kinetics of the disordered Bose gas with collisions
• Simple mechanism that breaks the Hall effect linearity at low temperatures
• Dephasing and interwell transitions in double quantum well heterostructures
• Interaction correction to the conductivity of two-dimensional electron gas in In${}_x$Ga${}_{1-x}$As/InP quantum well structure with strong spin-orbit coupling
• Universal behavior of magnetoresistance in quantum dot arrays with different degree of disorder
• Analysis of homogeneity of 2D electron gas at decreasing of electron density
• Quantum corrections to conductivity for semiconductors with various structures