Determinant quantum Monte Carlo study of $d$ wave pairing in the plaquette Hubbard hamiltonian
We used the determinant Quantum Monte Carlo (DQMC) to determine the pairing and magnetic response for a Hubbard model built up from foursite clusters  a twodimensional square lattice consisting of elemental 2x2 plaquettes with hopping t and onsite repulsion U coupled by an interplaquette hopping t' ≤ t. Superconductivity in this geometry has previously been studied by a variety of analytic and numeric methods, with differing conclusions concerning whether the pairing correlations and transition temperature are raised near halffilling by the inhomogeneous hopping or not. For U/t = 4, DQMC indicates an optimal t'/t ≈ 0.4 at which the pairing vertex is most attractive. We also found that optimal t'/t increases with U/t. We then contrast our results for this plaquette model with a Hamiltonian which instead involves a regular pattern of site energies whose large site energy limit is the three band CuO _{2} model; we show that there the inhomogeneity rapidly, and monotonically, suppresses pairing.
 Authors:

^{[1]};
^{[2]};
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^{[3]};
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^{[4]}
 Harbin Inst. of Technology (China). Dept. of Physics
 Pennsylvania State Univ., University Park, PA (United States). Physics Dept.; Univ. of California, Davis, CA (United States). Physics Dept.
 Federal Univ. of Rio de Janeiro (Brazil). Inst. of Physics
 Univ. of California, Davis, CA (United States). Physics Dept.
 Publication Date:
 Grant/Contract Number:
 NA0001842; NA00018420
 Type:
 Accepted Manuscript
 Journal Name:
 Physical Review. B, Condensed Matter and Materials Physics
 Additional Journal Information:
 Journal Volume: 90; Journal Issue: 7; Journal ID: ISSN 10980121
 Publisher:
 American Physical Society (APS)
 Research Org:
 Univ. of California, Davis, CA (United States)
 Sponsoring Org:
 USDOE National Nuclear Security Administration (NNSA)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY
 OSTI Identifier:
 1344108
 Alternate Identifier(s):
 OSTI ID: 1180226
Ying, T., Mondaini, R., Sun, X. D., Paiva, T., Fye, R. M., and Scalettar, R. T.. Determinant quantum Monte Carlo study of d wave pairing in the plaquette Hubbard hamiltonian. United States: N. p.,
Web. doi:10.1103/PhysRevB.90.075121.
Ying, T., Mondaini, R., Sun, X. D., Paiva, T., Fye, R. M., & Scalettar, R. T.. Determinant quantum Monte Carlo study of d wave pairing in the plaquette Hubbard hamiltonian. United States. doi:10.1103/PhysRevB.90.075121.
Ying, T., Mondaini, R., Sun, X. D., Paiva, T., Fye, R. M., and Scalettar, R. T.. 2014.
"Determinant quantum Monte Carlo study of d wave pairing in the plaquette Hubbard hamiltonian". United States.
doi:10.1103/PhysRevB.90.075121. https://www.osti.gov/servlets/purl/1344108.
@article{osti_1344108,
title = {Determinant quantum Monte Carlo study of d wave pairing in the plaquette Hubbard hamiltonian},
author = {Ying, T. and Mondaini, R. and Sun, X. D. and Paiva, T. and Fye, R. M. and Scalettar, R. T.},
abstractNote = {We used the determinant Quantum Monte Carlo (DQMC) to determine the pairing and magnetic response for a Hubbard model built up from foursite clusters  a twodimensional square lattice consisting of elemental 2x2 plaquettes with hopping t and onsite repulsion U coupled by an interplaquette hopping t' ≤ t. Superconductivity in this geometry has previously been studied by a variety of analytic and numeric methods, with differing conclusions concerning whether the pairing correlations and transition temperature are raised near halffilling by the inhomogeneous hopping or not. For U/t = 4, DQMC indicates an optimal t'/t ≈ 0.4 at which the pairing vertex is most attractive. We also found that optimal t'/t increases with U/t. We then contrast our results for this plaquette model with a Hamiltonian which instead involves a regular pattern of site energies whose large site energy limit is the three band CuO2 model; we show that there the inhomogeneity rapidly, and monotonically, suppresses pairing.},
doi = {10.1103/PhysRevB.90.075121},
journal = {Physical Review. B, Condensed Matter and Materials Physics},
number = 7,
volume = 90,
place = {United States},
year = {2014},
month = {8}
}