The Mott-Hubbard Transition on the D=infinity Bethe Lattice
Strongly Correlated Electrons
2009-10-22 v2
Abstract
In view of a recent controversy we investigated the Mott-Hubbard transition in D=infinity with a novel cluster approach. i) We show that any truncated Bethe lattice of order n can be mapped exactly to a finite Hubbard-like cluster. ii) We evaluate the self-energy numerically for n=0,1,2 and compare with a series of self-consistent equation-of-motion solutions. iii) We find the gap to open continously at the critical U_c~2.5t* (t = t* / sqrt{4d}). iv) A low-energy theory for the Mott-Hubbard transition is developed and relations between critical exponents are presented.
Cite
@article{arxiv.cond-mat/9312031,
title = {The Mott-Hubbard Transition on the D=infinity Bethe Lattice},
author = {Claudius Gros and Wolfgang Wenzel and Roser Valenti and Georg Huelsenbeck and Joachim Stolze},
journal= {arXiv preprint arXiv:cond-mat/9312031},
year = {2009}
}
Comments
Replaced with the published version