Attractive Su-Schrieffer-Heeger-Hubbard Model on a Square Lattice Away from Half-Filling

Abstract

The Su-Schrieffer-Heeger (SSH) model, with bond phonons modulating electron tunneling, is a paradigmatic electron-phonon model that hosts an antiferromagnetic order to bond order transition at half-filling. In the presence of repulsive Hubbard interaction, the antiferromagnetic phase is enhanced, but the phase transition remains first-order. Here we explore the physics of the SSH model with attractive Hubbard interaction, which hosts an interesting interplay among charge order, s-wave pairing, and bond order. Using the numerically exact determinant quantum Monte Carlo method, we show that both charge order, present at weak electron-phonon coupling, and bond order, at large coupling, give way to s-wave pairing when the system is doped. Furthermore, we demonstrate that the SSH electron-phonon interaction competes with the attractive Hubbard interaction and reduces the s-wave pairing correlation.

arXiv comment5 pages, 4 figures

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• Electronic orders on the kagome lattice at the lower Van Hove filling
• Semi-classical theory of bipolaronic superconductivity in a bond-modulated electron-phonon model
• Mixed-state phase transitions in spin-Holstein models
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• Magnetic, charge, and bond order in the two-dimensional Su-Schrieffer-Heeger-Holstein model
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• Antiferromagnetic and bond-order-wave phases in the half-filled two-dimensional optical Su-Schrieffer-Heeger-Hubbard model
• Tuning competition between charge order and superconductivity in the square-lattice $t$-$t^{\prime }$-$J$ model