Quantum corrections to the conductivity and Hall coefficient of a two-dimensional electron gas in a dirty AlGaAs/GaAs/AlGaAs quantum well: from the diffusive to the ballistic regime

摘要

We report an experimental study of quantum conductivity corrections in a lowmobility, high density two-dimensional electron gas in a AlGaAs/GaAs/AlGaAsquantum well in a wide temperature range (1.5K - 110K). This temperature rangecovers both the diffusive and the ballistic interaction regimes for oursamples. It has been therefore possible to study the crossover between theseregimes for both the longitudinal conductivity and the Hall effect. We performa parameter free comparison of our experimental data for the longitudinalconductivity at zero magnetic field, the Hall coefficient, and themagnetoresistivity to the recent theories of interaction-induced corrections tothe transport coefficients. A quantitative agreement between these theories andour experimental results has been found.