2003/09/30 by Alexander Seidel, Patrick A. Lee · 5 citations
Materials Science · Mathematics · Physics and Astronomy · #Algorithm #Magnetism in coordination complexes #Mathematics #Physics #Physics of Superconductivity and Magnetism #Quantum many-body systems #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.69.094419
published in Physical Review B 69(9) (American Physical Society) · 13 pages, 5 figures, published version, new title and minor changes
openalex publication_date 2004/03/19 · arxiv created 2004/04/09 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We study the one-dimensional t\ensuremath-J\ensuremath-J^\ensuremath'-model in the limit of small hole doping x and small J/t, J^\ensuremath'/t. Special emphasis is put on the regime J^\ensuremath'/J\ensuremath≈0.5, where a spin gap is present at small doping and the undoped spin chain is strongly dimerized. Using a perturbative approach and Luttinger liquid arguments, we demonstrate for this nonintegrable class of models that the charge degrees of freedom behave as noninteracting spinless solitons in the dilute hole limit. Our approach is also used to evaluate the energy and mass renormalization of a single hole. Interestingly, the corrections of these quantities are in powers of √(J/t). At J^\ensuremath'/J=0.5 we construct a variational spin-polaron wave function for the hole and find good agreement with our perturbative results.