A B Kuzmenko et al 2007 New J. Phys. 9 229 doi:10.1088/1367-2630/9/7/229
Model-independent sum rule analysis based on limited-range spectral data
A B Kuzmenko, D van der Marel, F Carbone and F Marsiglio
Show affiliationsPartial 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.
- PACS
- Subjects
- Dates
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Issue 7 (July 2007)
Received 29 March 2007
Published 13 July 2007
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Model-independent sum rule analysis based on limited-range spectral data
A B Kuzmenko et al 2007 New J. Phys. 9 229
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