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Exact Ground State Energy of Hubbard Rings in the Atomic Limit


W. B. Hodge, N. A. W. Holzwarth, and W. C. Kerr
submitted to Physical Review Letters and arXiv:0806.1761v3 [cond-mat.str-el] local PDF

Making some reasonable assumptions, we derive an expression for the ground state energy of a one-dimensional Hubbard ring in the atomic limit, valid for systems of finite size. In doing so, we show that a straightforward solution to equations derived by Lieb and Wu does not obtain the expected ground state energy in this limit.



 

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