1997/10/12 by Jiří Málek, Jiri Malek, Konstantin Kladko +2 · 1 citation
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Physics of Superconductivity and Magnetism #Quantum many-body systems #cond-mat
paper · pdf · doi:10.1134/1.567791
published as JETP Letters, 67(12),1052-1058, June 25 1998 · 4 Pages, 3 Figures, REVTEX
arxiv created 1997/10/12 · openalex publication_date 1998/06/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
The ground state energies of infinite half-filled Hubbard-Peierls chains are investigated by combining an incremental expansion with exact diagonalization of finite chain segments. The ground-state energy of equidistant infinite Hubbard (Heisenberg) chains is calculated with a relative error of less than 3×10−3 for all values of U using diagonalations of 12-site (20-site) chain segments. For dimerized chains the dimerization order parameter d as a function of the on-site repulsion interaction U has a maximum at nonzero values of U, if the electron-phonon coupling g is lower than a critical value g c . The critical value g c is found with high accuracy to be g c =0.69. For smaller values of g the position of the maximum of d(U) is approximately 3t, and rapidly tends to zero as g approaches g c from below. We show how our method can be applied to calculate breathers for the problem of phonon dynamics in Hubbard-Peierls systems.