Green's Function Approach to the Edge Spectral Density

Details Green's Function Approach to the Edge Spectral Density Green's Function Approach to the Edge Spectral Density

1997-02-09

arxiv.org/abs/cond-mat/9702074v2

Physics

Condensed Matter

Strongly Correlated Electrons

Revised and Enlarged. Submitted to Phys. Rev. B

Scientific paper

10.1103/PhysRevB.56.15806

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.

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