Local properties of the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e182" altimg="si3.svg"><mml:mi>t</mml:mi></mml:math>-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e187" altimg="si119.svg"><mml:mi>J</mml:mi></mml:math> model in a two-pole approximation within COM

Eskandari-asl, Amir; Avella, Adolfo

doi:10.1016/j.jmmm.2021.168794

Journal of Magnetism and Magnetic Materials

2022

DOI: 10.1016/j.jmmm.2021.168794

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Local properties of the t-J model in a two-pole approximation within COM

Amir Eskandari-asl

Adolfo Avella

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2024

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Bands renormalization and superconductivity in the strongly correlated Hubbard model using composite operators method

Haurie,

Grandadam,

Pangburn

et al. 2024

J. Phys.: Condens. Matter

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We use the composite operator method (COM) to analyze the strongly correlated repulsive Hubbard model, investigating the eﬀect of nearest-neighbor hoppings up to fourth order on a square lattice. We consider two sets of self-consistent equations, one enforcing the Pauli principle and the other imposing charge-charge, spin-spin, and pair-pair correlations using a decoupling scheme developed by L. Roth [Phys. Rev. 184, 451–459, (1969)]. We extract three distinct solutions from these equations: COM1 and COM2 by imposing the Pauli principle and one from Roth decoupling. An overview of the method studying the validity of particle-hole symmetry and the Luttinger theorem for each solution is presented. Additionally, we extend the initial basis to study superconductivity, concluding that it is induced by the Van Hove singularity. Finally, we include higher-order hoppings using realistic estimates for tight binding parameters and compare our results with ARPES measurements on cuprates.

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Bands renormalization and superconductivity in the strongly correlated Hubbard model using composite operators method

Haurie,

Grandadam,

Pangburn

et al. 2024

J. Phys.: Condens. Matter

View full text Add to dashboard Cite

show abstract

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Local properties of the t-J model in a two-pole approximation within COM

Cited by 1 publication

References 50 publications

Bands renormalization and superconductivity in the strongly correlated Hubbard model using composite operators method

Bands renormalization and superconductivity in the strongly correlated Hubbard model using composite operators method

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