The charge and low-frequency response of normal-superconducting heterostructures

Abstract

The charge distribution is a basic aspect of electrical transport. In this work we investigate the self-consistent charge response of normal-superconducting heterostructures. Of interest is the variation of the charge density due to voltage changes at contacts and due to changes in the potential. We present response functions in terms of functional derivatives of the scattering matrix. We discuss corrections to the Lindhard function due to the proximity of the superconductor. We use these results to find the dynamic conductance matrix to lowest order in frequency. We illustrate similarities and differences between normal systems and heterostructures for specific examples like a ballistic wire, a resonator, and a quantum point contact.

arXiv comment9 pages, 4 figures

References in corpus (7)

• Low frequency admittance of a quantum point contact
• Re-entrance of the metallic conductance in a mesoscopic proximity superconductor
• Interaction Constants and Dynamic Conductance of a Gated Wire
• Multiple Andreev Reflection and Giant Excess Noise in Diffusive Superconductor/Normal-Metal/Superconductor Junctions
• Distribution functions and current-correlations in normal-metal--superconductor hetero-structures
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• Topological pumping in class-D superconducting wires
• Energy dependent counting statistics in diffusive superconducting tunnel junctions
• Nonlocal pure spin current injection via quantum pumping and crossed Andreev reflection
• Nonlinear electric and thermoelectric Andreev transport through a hybrid quantum dot coupled to ferromagnetic and superconducting leads
• Macroscopic Coherent Rectification in Andreev Interferometers