THE BINDING-ENERGY AND THE CHARGED GAPS IN THE NEGATIVE-U HUBBARD-MODEL - SOME RIGOROUS RESULTS

Authors
TIAN GS
Citation
Gs. Tian, THE BINDING-ENERGY AND THE CHARGED GAPS IN THE NEGATIVE-U HUBBARD-MODEL - SOME RIGOROUS RESULTS, Journal of physics. A, mathematical and general, 30(15), 1997, pp. 5329-5338
Citations number
27
Categorie Soggetti
Physics
Journal title
Journal of physics. A, mathematical and general → ACNP
ISSN journal
03054470
Volume
30
Issue
15
Year of publication
1997
Pages
5329 - 5338
Database
ISI
SICI code
0305-4470(1997)30:15<5329:TBATCG>2.0.ZU;2-0
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 f inite lattice.