The binding energy and the charged gaps in the negative- U Hubbard model: some rigorous results

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, , Citation Guang-Shan Tian 1997 J. Phys. A: Math. Gen. 30 5329 DOI 10.1088/0305-4470/30/15/019

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1 Theoretical Physics, Oxford University, Keble Road, Oxford OX1 3NP, UK

2 Department of Physics, Peking University, People's Republic of China

Dates

  1. Received 1 April 1997

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0305-4470/30/15/5329

Abstract

By applying Lieb's spin-reflection-positivity method and exploiting a commutation relation satisfied by the negative-U Hubbard Hamiltonian, we prove two rigorous theorems on the binding energy of fermions, the one-particle and the two-particle gaps for the model on an arbitrary finite lattice.

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