Exact solution and thermodynamics of the Hubbard model with infinite-range hopping

Peter van Dongen and Dieter Vollhardt
Phys. Rev. B 40, 7252 – Published 1 October 1989
PDFExport Citation

Abstract

The Hubbard model with unconstrained hopping of the particles on a lattice is solved exactly. It is shown that in this case the kinetic energy commutes with the interaction part, i.e., the model is essentially trivial. The thermodynamics is worked out explicitly. One finds that the results of the quasichemical approximation for the occupation probability of lattice sites are exact for this model. The ground state is insulating at half-filling and U>0 and is conducting otherwise.

  • Received 2 March 1989

DOI:https://doi.org/10.1103/PhysRevB.40.7252

©1989 American Physical Society

Authors & Affiliations

Peter van Dongen and Dieter Vollhardt

  • Institut für Theoretische Physik C, Technische Hochschule Aachen, D-5100 Aachen, Federal Republic of Germany

References (Subscription Required)

Click to Expand
Issue

Vol. 40, Iss. 10 — 1 October 1989

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review B

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×