Green's Function Approach to the Edge Spectral Density

Abstract

It is shown that the conventional many-body techniques to calculate the Green's functions can be applied to the wide, compressible edge of a quantum Hall bar. The only ansatz we need is the existence of stable density modes that yields a simple equation of motion of the density operators. We derive the spectral density at a finite temperature and show how the tunneling characteristics of a sharp edge can be deduced as a limiting case.

Revised and Enlarged. Submitted to Phys. Rev. B

References in corpus (3)

• One-Dimensional Fermi liquids
• Dynamics of compressible edge and bosonization
• Collective Modes and Electronic Spectral Function in Smooth Edges of Quantum Hall Systems

Cited by in corpus (2)

• Infrared catastrophe and tunneling into strongly correlated electron systems: Exact solution of the x-ray edge limit for the 1D electron gas and 2D Hall fluid
• Charge and current oscillations in Fractional quantum Hall systems with edges