Low-temperature Lanczos method for strongly correlated systems

2002/11/08 by Markus Aichhorn, Maria Daghofer, Hans Gerd Evertz +1 · 2 citations
Physics and Astronomy · #Advanced Condensed Matter Physics #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.67.161103

published as Phys. Rev. B 67, 161103R (2003) · 4 pages, 4 figures

arxiv created 2002/11/08 · openalex publication_date 2003/04/24 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We present a modified finite-temperature Lanczos method for the evaluation of dynamical and static quantities of strongly correlated electron systems that complements the finite-temperature method introduced by Jakli\ifmmode \checkc\else \vc\fi and Prelov\ifmmode \checks\else \vs\fiek for low temperatures. Together they allow accurate calculations at any temperature with moderate effort. As an example we calculate the static spin-correlation function and the regular part of the optical conductivity \ensuremathσ^reg(\ensuremathω) of the one-dimensional Hubbard model at half filling and show in detail the connection between the ground-state and finite-temperature method. By using cluster perturbation theory, the finite-temperature spectral function is extended to the infinite system, clearly exhibiting the effects of spin-charge separation.

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