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

Abstract

Cluster perturbation theory (CPT) is a computationally economic method commonly used to estimate the momentum- and 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. Finally, we benchmark the method with the one-dimensional Fermi-Hubbard model by comparing with known results.

Authors:
 [1]; ORCiD logo [2]; ORCiD logo [2]; ORCiD logo [1]
  1. Virginia Polytechnic Inst. and State Univ. (Virginia Tech), Blacksburg, VA (United States)
  2. Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
Publication Date:
Research Org.:
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR); USDOE Office of Science (SC), Basic Energy Sciences (BES); US Air Force Office of Scientific Research (AFOSR); US Army Research Office (ARO)
OSTI Identifier:
1608218
Alternate Identifier(s):
OSTI ID: 1600063
Grant/Contract Number:  
AC05-00OR22725; FA9550-18-1-0505; W911NF-16-1-0182
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 101; Journal Issue: 7; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; approximation methods for many-body systems; Bethe-Salpeter equation; diagrammatic methods; exact diagonalizatoin; exact solutions for many-body systems; Hubbard model; numerical techniques

Citation Formats

Raum, P., Alvarez, Gonzalo, Maier, Thomas, and Scarola, Vito. Two-particle correlation functions in cluster perturbation theory: Hubbard spin susceptibilities. United States: N. p., 2020. Web. https://doi.org/10.1103/PhysRevB.101.075122.
Raum, P., Alvarez, Gonzalo, Maier, Thomas, & Scarola, Vito. Two-particle correlation functions in cluster perturbation theory: Hubbard spin susceptibilities. United States. https://doi.org/10.1103/PhysRevB.101.075122
Raum, P., Alvarez, Gonzalo, Maier, Thomas, and Scarola, Vito. Tue . "Two-particle correlation functions in cluster perturbation theory: Hubbard spin susceptibilities". United States. https://doi.org/10.1103/PhysRevB.101.075122. https://www.osti.gov/servlets/purl/1608218.
@article{osti_1608218,
title = {Two-particle correlation functions in cluster perturbation theory: Hubbard spin susceptibilities},
author = {Raum, P. and Alvarez, Gonzalo and Maier, Thomas and Scarola, Vito},
abstractNote = {Cluster perturbation theory (CPT) is a computationally economic method commonly used to estimate the momentum- and 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. Finally, we benchmark the method with the one-dimensional Fermi-Hubbard model by comparing with known results.},
doi = {10.1103/PhysRevB.101.075122},
journal = {Physical Review B},
number = 7,
volume = 101,
place = {United States},
year = {2020},
month = {2}
}

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