Spectral densities from dynamic density-matrix renormalization

Issue		Eur. Phys. J. B Volume 45, Number 3, June I 2005


Page(s)		293 - 303
Section		Solid and Condensed State Physics
DOI		10.1140/epjb/e2005-00194-3
Published online		06 July 2005

Eur. Phys. J. B 45, 293-303 (2005)
DOI: 10.1140/epjb/e2005-00194-3

Spectral densities from dynamic density-matrix renormalization

C. Raas and G.S. Uhrig

Institut für Theoretische Physik, Universität zu Köln, Zülpicher Str. 77, 50937 Köln, Germany

uhrig@lusi.uni-sb.de

(Received 9 December 2004 / Published online 6 July 2005)

Abstract
Dynamic density-matrix renormalization provides valuable numerical information on dynamic correlations by computing convolutions of the corresponding spectral densities. Here we discuss and illustrate how and to which extent such data can be deconvolved to retrieve the wanted spectral densities. We advocate a nonlinear deconvolution scheme which minimizes the bias in the ansatz for the spectral density. The procedure is illustrated for the line shape and width of the Kondo peak (low energy feature) and for the line shape of the Hubbard satellites (high energy feature) of the single impurity Anderson model. It is found that the Hubbard satellites are strongly asymmetric.

PACS
71.55.Ak - Metals, semimetals, and alloys.
71.27.+a - Strongly correlated electron systems; heavy fermions.
78.67.Hc - Quantum dots.
78.20.Bh - Theory, models, and numerical simulation.

© EDP Sciences, Società Italiana di Fisica, Springer-Verlag 2005

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