Exact Ground State Energy of Hubbard Rings in the Atomic Limit

Date
Authors
Hodge, W. B.
Holzwarth, N. A. W.
Kerr, W. C.
Journal Title
Journal ISSN
Volume Title
Publisher
Abstract
Description
Using a straightforward extension of the analysis of Lieb and Wu, we derive a simple analytic form for the ground state energy of a one-dimensional Hubbard ring in the atomic limit. This result is valid for an \textit{arbitrary} number of lattice sites $L$ and electrons $N \leq L$. Furthermore, our analysis, including an application of the theory of stochastic matrices, provides insight into the degeneracy and spin properties of the ground states in the atomic limit. We give numerical results which illustrate how the atomic limit is approached.
Comment: 8 pages, 10 figure files for 6 figures
Keywords
Condensed Matter - Strongly Correlated Electrons
Citation
Collections