Feedback effects and the self-consistent Thouless criterion of the attractive Hubbard model
We propose a fully microscopic theory of the anomalous normal state of the attractive Hubbard model in the low-density limit that accounts for propagator renormalization. Our analytical conclusions regarding the thermodynamic instabilities contained in the self-consistent equations associated with this formulation have been verified by our comprehensive numerical study of the same equations. The resulting theory is found to contain no transitions at non-zero temperatures for all finite lattices, and we have confirmed, using our numerical studies, that this behaviour persists in the thermodynamic limit for low-dimensional systems.
@article{
title = {Feedback effects and the self-consistent Thouless criterion of the attractive Hubbard model},
author = {Beach, K. S. D. and Gooding, R. J. and Marsiglio, F.},
journal = {Physics Letters A},
volume = {282},
number = {4--5},
pages = {319--324},
year = {2001},
issn = {0375-9601},
doi = {10.1016/S0375-9601(01)00201-8},
url = {http://www.sciencedirect.com/science/article/pii/S0375960101002018}
}