Superconductivity in a two-dimensional Electron Gas

Abstract

In a series of recent experiments, Kravchenko and colleagues observed unexpectedly that a two-dimensional electron gas in zero magnetic field can be a conductor. The two-dimensionality was imposed by confining the electron gas to move laterally at the interface between two semiconductors. The observation of a conductor in two dimensions (2D) is surprising as the conventional theory of metals precludes the presence of a metallic state at zero temperature in 2D. Nonetheless, there are now several experiments confirming the existence of the new conducting phase in a dilute two-dimensional electron gas in zero magnetic field. Here we argue based on an analysis of the experiments and general theoretical grounds that this phase is a zero-temperature superconductor with an inhomogeneous charge density.

5 pages, 2 ps figures

References in corpus (8)

• Magnetic Field Suppression of the Conducting Phase in Two Dimensions
• Metal-insulator transition at B=0 in a dilute two dimensional GaAs-AlGaAs hole gas
• The Metallic-Like Conductivity of a Two-Dimensional Hole System
• Scaling theory of two-dimensional metal-insulator transitions
• Metal Insulator transition at B=0 in p-SiGe
• Metallic Phase and Metal-insulator Transition in 2d Electronic Systems
• Interactions and Scaling in a Disordered Two-Dimensional Metal
• Logarithmic Temperature Dependence of the Conductivity and Lack of Universal One-Parameter Scaling in the Two-Dimensional Metal

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