Document Type

Article

Publication Date

June 2014

Publication Title

Physical Review E

Volume

89

Issue Number

6

First Page

063301

DOI

10.1103/PhysRevE.89.063301

Keywords

Linked, Cluster, Expansion, Function, Infinite

Disciplines

Astrophysics and Astronomy | Physical Sciences and Mathematics | Physics

Abstract

We implement a highly efficient strong-coupling expansion for the Green's function of the Hubbard model. In the limit of extreme correlations, where the onsite interaction is infinite, the evaluation of diagrams simplifies dramatically enabling us to carry out the expansion to the eighth order in powers of the hopping amplitude. We compute the finite-temperature Green's function analytically in the momentum and Matsubara frequency space as a function of the electron density. Employing Padé approximations, we study the equation of state, Kelvin thermopower, momentum distribution function, quasiparticle fraction, and quasiparticle lifetime of the system at temperatures lower than, or of the order of, the hopping amplitude. We also discuss several different approaches for obtaining the spectral functions through analytic continuation of the imaginary frequency Green's function, and show results for the system near half filling. We benchmark our results for the equation of state against those obtained from a numerical linked-cluster expansion carried out to the eleventh order.

Comments

© 2014 American Physical Society DOI:10.1103/PhysRevE.89.063301

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