Physics – Condensed Matter – Other Condensed Matter
Scientific paper
2007-01-24
New J. Phys. 9 (2007) 229
Physics
Condensed Matter
Other Condensed Matter
5 pages, 3 figures
Scientific paper
10.1088/1367-2630/9/7/229
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.
Carbone Fabrizio
der Marel Dirk van
Kuzmenko Alexey B.
Marsiglio Frank
No associations
LandOfFree
Model-Independent Sum Rule Analysis Based on Limited-Range Spectral Data does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Model-Independent Sum Rule Analysis Based on Limited-Range Spectral Data, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Model-Independent Sum Rule Analysis Based on Limited-Range Spectral Data will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-603203