Optimized phonon approach for the diagonalization of electron-phonon problems

2000/03/08 by A. Weisse, Alexander Weiße, Holger Fehske +4
Materials Science · Physics and Astronomy · #Advanced Condensed Matter Physics #Magnetic and transport properties of perovskites and related materials #Physics of Superconductivity and Magnetism #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.62.r747

published as Phys. Rev. B 62, R747 (2000) · 4 pages, 4 figures included, submitted to Phys. Rev. B

arxiv created 2000/03/08 · openalex publication_date 2000/07/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We propose an optimized phonon approach for the numerical diagonalization of interacting electron-phonon systems combining density-matrix and Lanczos algorithms. We demonstrate the reliablity of this approach by calculating the phase diagram for bipolaron formation in the one-dimensional Holstein-Hubbard model, and the Luttinger parameters for the metallic phase of the half-filled one-dimensional Holstein model of spinless fermions.

Citations

• Peierls instability and optical response in the one-dimensional half-filled Holstein model of spinless fermions

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