2011/02/07 by Daniel Hansen, Edward Perepelitsky, B. Sriram Shastry +1 · 5 citations
Mathematics · Physics and Astronomy · #Atomic and Subatomic Physics Research #Cold Atom Physics and Bose-Einstein Condensates #Diagram #Hubbard model #Limit (mathematics) #Mathematical analysis #Mathematics #Physics #Physics of Superconductivity and Magnetism #Quantum mechanics #Scheme (mathematics) #Statistical physics #Statistics #Superconductivity #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.83.205134
published in Physical Review B 83(20) (American Physical Society) · 16 pages, 14 figures
arxiv created 2011/02/07 · openalex publication_date 2011/05/31 · arxiv updated 2015/03/18 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We present a numerical scheme for the Hubbard model that throws light on the rather esoteric nature of the upper and lower Hubbard bands, which have been invoked often in literature. We present a self-consistent solution of the ladder-diagram equations for the Hubbard model, and show that these provide, at least in the limit of low densities of particles, a vivid picture of the Hubbard split bands. We also address the currently topical problem of decay of the doublon states that are measured in optical trap studies, using both the ladder scheme and also an exact two-particle calculation of a relevant Green's function.