Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2005-09-09
Phys. Rev. B 73, 045404 (2006)
Physics
Condensed Matter
Disordered Systems and Neural Networks
7 pages, 5 figures. A version of the paper with high resolution, colour figures is available at http://www.trentu.ca/physics
Scientific paper
10.1103/PhysRevB.73.045404
Fourier transform scanning tunneling spectroscopy (FTSTS) is a useful technique for extracting details of the momentum-resolved electronic band structure from inhomogeneities in the local density of states due to disorder-related quasiparticle scattering. To a large extent, current understanding of FTSTS is based on models of Friedel oscillations near isolated impurities. Here, a framework for understanding many-impurity effects is developed based on a systematic treatment of the variance Delta rho^2(q,omega) of the Fourier transformed local density of states rho(q,\omega). One important consequence of this work is a demonstration that the poor signal-to-noise ratio inherent in rho(q,omega) due to randomness in impurity positions can be eliminated by configuration averaging Delta rho^2(q,omega). Furthermore, we develop a diagrammatic perturbation theory for Delta rho^2(q,omega) and show that an important bulk quantity, the mean-free-path, can be extracted from FTSTS experiments.
Atkinson W. A.
Kodra O.
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