Two-particle correlation functions in cluster perturbation theory: Hubbard spin susceptibilities

P. T. Raum, G. Alvarez, Thomas Maier, V. W. Scarola

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Abstract

Cluster perturbation theory (CPT) is a computationally economic method commonly used to estimate the momentum- A nd energy-resolved single-particle Green's function. It has been used extensively in direct comparisons with experiments that effectively measure the single-particle Green's function, e.g., angle-resolved photoemission spectroscopy. However, many experimental observables are given by two-particle correlation functions. CPT can be extended to compute two-particle correlation functions by approximately solving the Bethe-Salpeter equation. We implement this method and focus on the transverse spin susceptibility, measurable via inelastic neutron scattering or with optical probes of atomic gases in optical lattices. We benchmark the method with the one-dimensional Fermi-Hubbard model by comparing with known results.

Original languageEnglish
Article number075122
JournalPhysical Review B
Volume101
Issue number7
DOIs
StatePublished - Feb 15 2020

Funding

V.W.S. and P.T.R. acknowledge support from AFOSR (No. FA9550-18-1-0505) and ARO (No. W911NF-16-1-0182). The work of T.A.M and G.A. was supported by the Scientific Discovery through Advanced Computing (SciDAC) program funded by U.S. Department of Energy, Office of Science, Advanced Scientific Computing Research and Basic Energy Sciences, Division of Materials Sciences and Engineering.

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