Exact bounds on the ground-state energy of the infinite-<span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>U</mi></math></span> Hubbard model

Federico Becca; Luca Capriotti; Sandro Sorella; Alberto Parola

doi:10.1103/PhysRevB.62.15277

Exact bounds on the ground-state energy of the infinite- $U$ Hubbard model

Federico Becca, Luca Capriotti, Sandro Sorella, and Alberto Parola

Phys. Rev. B 62, 15277 – Published 15 December 2000

Abstract

We give upper and lower bounds for the ground-state energy of the infinite- $U$ Hubbard model. In two dimensions, using these bounds we are able to rule out the possibility of phase separation between the undoped-insulating state and a hole-rich state.

Received 10 May 2000

DOI:https://doi.org/10.1103/PhysRevB.62.15277

Authors & Affiliations

Federico Becca, Luca Capriotti, and Sandro Sorella

Istituto Nazionale per la Fisica della Materia and International School for Advanced Studies, Via Beirut 4, I-34013 Trieste, Italy

Alberto Parola

Istituto Nazionale per la Fisica della Materia and Dipartimento di Fisica, Università dell’Insubria, Via Lucini 3, I-22100 Como, Italy

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Vol. 62, Iss. 23 — 15 December 2000

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