Friedel Sum Rule for single channel quantum wire

Abstract

Elastic scattering in a quantum wire has several novel features not seen in 1D, 2D or 3D. In this work we consider a single channel quantum wire as its application is inevitable in making devices based on quantum interference effects. We consider a point defect or a single delta function impurity in such a wire and show how some of these novel features affect Friedel-sum-rule (FSR) in a way, that is quite unlike in 1D, 2D and 3D.

shortened

References in corpus (3)

• Charge densities and charge noise in mesoscopic conductors
• Scattering phase shifts in quasi-one-dimension
• Random matrix theory of proximity effect in disordered wires

Cited by in corpus (6)

• Quantum current magnification in a multi-channel mesoscopic ring
• Friedel phase discontinuity and bound states in the continuum in quantum dot systems
• Negative partial density of states in mesoscopic systems
• T-matrix formulation of real-space dynamical mean-field theory and the Friedel sum rule for correlated lattice fermions
• S-Matrix Formulation of Mesoscopic Systems and Evanescent Modes
• Importance of individual scattering matrix elements at Fano resonances