Linked-cluster expansion for the Green's function of the infinite-U Hubbard model

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 Pade 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.

15 pages, 11 figures, 1 table

References in corpus (11)

• How bad metals turn good: spectroscopic signatures of resilient quasiparticles
• Numerical Linked-Cluster Approach to Quantum Lattice Models
• Numerical Linked-Cluster Algorithms. II. t-J models on the square lattice
• Discerning Incompressible and Compressible Phases of Cold Atoms in Optical Lattices
• Extremely Correlated Fermi Liquids
• Thermodynamics of the three-dimensional Hubbard model: Implications for cooling cold atomic gases in optical lattices
• Extremely correlated Fermi liquid theory meets Dynamical mean-field theory: Analytical insights into the doping-driven Mott transition
• Extremely Correlated Fermi Liquid Description of Normal State ARPES in Cuprates
• Extremely Correlated Fermi Liquids: The Formalism
• Extremely Correlated Fermi Liquid study of the U=infinity Anderson Impurity Model
• Extremely Correlated Fermi Liquids in the limit of infinite dimensions

Cited by in corpus (10)

• Transport and Optical Conductivity in the Hubbard Model: A High-Temperature Expansion Perspective
• Local origin of the pseudogap in the attractive Hubbard model
• Hidden physics in the dual-fermion approach - a special case of a non-local expansion scheme
• Diagrammatic Monte Carlo procedure for the spin-charge transformed Hubbard model
• Strong-coupling diagrammatic Monte Carlo technique for correlated fermions and frustrated spins
• Spin-charge transformation of lattice fermion models: duality approach for diagrammatic simulation of strongly correlated systems
• Evidence of attraction between charge-carriers in a doped Mott insulator
• Real-space renormalized dynamical mean field theory
• Functional renormalization group for extremely correlated electrons
• Yang-Lee Zeros of 2D Nearest-Neighbor Antiferromagnetic Ising Models: A Numerical Linked Cluster Expansion Study