High-order perturbation expansion for the two-dimensional Hubbard model using the Gutzwiller wave function

Zsolt Gulácsi, Miklós Gulácsi, Boldizsár Jankó

Research output: Contribution to journalArticle

13 Citations (Scopus)


A variational approach of the two-dimensional Hubbard model is presented, based on the Gutzwiller wave function, making no use of the Gutzwiller approximation. We calculated exactly the coefficients of the (g2-1)m expansion of the ground-state energy (g is the Gutzwiller variational parameter) up to the m=8 order. The m>8 terms were deduced with an acuracy O[(n/2)18] as a function of the electron concentration n. Double occupancy, expectation value of the interaction energy, average kinetic energy, and the minimized ground-state energy are determined and their electron concentration and dimensionality dependence are discussed. An evaluation of the nonanalyticities for any dimension is also presented.

Original languageEnglish
Pages (from-to)4168-4173
Number of pages6
JournalPhysical Review B
Issue number8
Publication statusPublished - Jan 1 1993


ASJC Scopus subject areas

  • Condensed Matter Physics

Cite this