Electron-transport properties of a two-dimensional electron gas interacting with phonons of a defect-containing lattice: A paradigm for layered oxide superconductors

Z. C. Tao; M. Singh

doi:10.1103/PhysRevB.45.12988

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Electron-transport properties of a two-dimensional electron gas interacting with phonons of a defect-containing lattice: A paradigm for layered oxide superconductors

Z. C. Tao, M. Singh

DOI 10.1103/PhysRevB.45.12988 · Physical Review B

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Abstract

We study the electron-transport properties of a two-dimensional electron gas interacting with phonons of a lattice containing isotope defects. This serves as a heuristic model for the layered oxide superconductors to help understand the anomalous transport properties of these high-Tc superconductors. Electron-phonon interaction is described by the deformation-potential approximation, and the lattice dynamics is simplified by the continuum approximation. The integral equation describing the vertex corrections to the electron-transport relaxation time is solved numerically. The electrical conductivity and electron thermal conductivity are calculated and examined in search for the Wiedemann-Franz relation. We find that the isotope mass defects only affect the electron-transport properties slightly. Our calculations support the notion that the vertex corrections are important and that they affect the electron-transport properties significantly in these layered oxide superconductors.