Maximum probability domains for Hubbard models

ABSTRACT

The theory of maximum probability domains (MPDs) is formulated for the Hubbard model in terms of projection operators and generating functions for both exact eigenstates as well as Slater determinants. A fast MPD analysis procedure is proposed, which is subsequently used to analyse numerical results for the Hubbard model. It is shown that the essential physics behind the considered Hubbard models can be exposed using MPDs. Furthermore, the MPDs appear to be in line with what is expected from Valence Bond (VB) Theory-based knowledge.

GRAPHICAL ABSTRACT

KEYWORDS:

• Maximum probability domains
• Hubbard model
• generating function
• Hubbard benzene
• Hubbard 1,3,5-hexatriene

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

Research Foundation Flanders (FWO-Vlaanderen); Special Research Fund of Ghent University; the Flemish Government – department EWI and Ghent University.