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Many-impurity effects in Fourier transform scanning tunneling spectroscopy

2005/09/30 by O. Kodra, W. A. Atkinson · 1 citation
Chemistry · Physics and Astronomy · #Analytical Chemistry (journal) #Atomic and Subatomic Physics Research #Chemistry #Condensed matter physics #Environmental chemistry #Fourier transform #Fourier transform infrared spectroscopy #Fourier transform spectroscopy #Impurity #Materials science #Optics #Physics #Quantum and electron transport phenomena #Quantum mechanics #Quantum optics and atomic interactions #Scanning tunneling microscope #Scanning tunneling spectroscopy #Spectroscopy #cond-mat.dis-nn #cond-mat.str-el #cond-mat.supr-con

paper · pdf · doi:10.1103/physrevb.73.045404

published as Phys. Rev. B 73, 045404 (2006) · 7 pages, 5 figures. A version of the paper with high resolution, colour figures is available at http://www.trentu.ca/physics/batkinson/FTSTS.ps.gz minor revisions in response to refree report + figure 5 is modified

arxiv created 2005/11/07 · openalex publication_date 2006/01/06 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

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 \ensuremathΔ\ensuremathρ2(q,\ensuremathω) of the Fourier transformed local density of states \ensuremathρ(q,\ensuremathω). One important consequence of this work is a demonstration that the poor signal-to-noise ratio inherent in \ensuremathρ(q,\ensuremathω) due to randomness in impurity positions can be eliminated by configuration averaging \ensuremathΔ\ensuremathρ2(q,\ensuremathω). Furthermore, we develop a diagrammatic perturbation theory for \ensuremathΔ\ensuremathρ2(q,\ensuremathω) and show that an important bulk quantity, the mean-free-path, can be extracted from FTSTS experiments.

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