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THE MOTT-HUBBARD TRANSITION ON THE D=INFINITY BETHE LATTICE
GROS C, WENZEL W, VALENTI R, HULSENBECK G, STOLZE J
EUROPHYSICS LETTERS
27 (4): 299-304 AUG 1 1994

Document type: Article    Language: English    Cited References: 23    Times Cited: 8   

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 continuously at the critical U(c) approximately 2.5t* (t = t* /square-root 4d). iv) A low-energy theory for the Mott-Hubbard transition is developed and relations between critical exponents are presented.

KeyWords Plus:
ZERO TEMPERATURE, DIMENSIONS, MODEL, FERMIONS, SYSTEMS

Addresses:
GROS C, UNIV DORTMUND,INST PHYS,D-44221 DORTMUND,GERMANY

Publisher:
EDITIONS PHYSIQUE, LES ULIS CEDEX

IDS Number:
PA572

ISSN:
0295-5075


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