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Model-Independent Sum Rule Analysis Based on Limited-Range Spectral Data | | A.B. Kuzmenko
; D. van der Marel
; F. Carbone
; F. Marsiglio
; | | Date: |
24 Jan 2007 | | Subject: | Other | | Abstract: | Partial sum rules are widely used in physics to separate low- and high-energy degrees of freedom of complex dynamical systems. Their application, though, is challenged in practice by the always finite spectrometer bandwidth and is often performed using risky model-dependent extrapolations. We show that, given spectra of the real and imaginary parts of any causal frequency-dependent response function (for example, optical conductivity, magnetic susceptibility, acoustical impedance etc.) in a limited range, the sum-rule integral from zero to a certain cutoff frequency inside this range can be safely derived using only the Kramers-Kronig dispersion relations without any extra model assumptions. This implies that experimental techniques providing both active and reactive response components independently, such as spectroscopic ellipsometry in optics, allow an extrapolation-independent determination of spectral weight ’hidden’ below the lowest accessible frequency. | | Source: | arXiv, cond-mat/0701593 | | Services: | Forum | Review | PDF | Favorites | |
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