Journal
PHYSICAL REVIEW B
Volume 73, Issue 4, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.73.045404
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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.
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