The Mott-Hubbard Transition on the D=infinity Bethe Lattice

Details The Mott-Hubbard Transition on the D=infinity Bethe Lattice The Mott-Hubbard Transition on the D=infinity Bethe Lattice

1993-12-07

arxiv.org/abs/cond-mat/9312031v2

Europhys. Lett., Vol. 27, 299 (1994)

Physics

Condensed Matter

Strongly Correlated Electrons

Replaced with the published version

Scientific paper

10.1209/0295-5075/27/4/008

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.

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