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Bulletin of the American Physical Society

Antiferromagnetism, Superconductivity and Pseudogap of the 2D Hubbard Model

Xi Chen, Emanuel Gull, J. P. F. LeBlanc

Published Mar 6, 2015• 0 citations
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Evidence that the pseudogap (PG) in a near-optimally doped Bi2_22​Sr2_22​CaCu2_22​O8+δ_{8+δ}8+δ​ sample destroys the BCS logarithmic pairing instability [1] raises again the question of the role of the PG in the high-temperature superconducting cuprates [2]. The elimination of the BCS instability is consistent with the view that the PG competes with superconductivity. However, as noted in [1], the onset of superconductivity with a Tc∼90T_c \sim 90Tc​∼90 K suggests an alternative scenario in which the PG reflects the formation of short range pairing correlations. Here, we report results obtained from a dynamic cluster quantum Monte Carlo approximation (DCA) for a 2D Hubbard model and conclude that (1) the PG, like the superconductivity, arises due to short-range antiferromagnetic correlations and (2) contrary to the usual case in which the pairing instability arises from the Cooper instability, here, the strength of the spin-fluctuations increases as the temperature decreases leading to the pairing instability.
We study the two-dimensional Hubbard model with nonmagnetic Zn impurities modeled by binary diagonal disorder using Quantum Monte Carlo within the Dynamical Cluster Approximation. With increasing Zn content we find a strong suppression of d-wave superconductivity concomitant to a reduction of antiferromagnetic spin fluctuations. TcT_cTc​ vanishes linearly with Zn impurity concentration. The spin susceptibility changes from pseudogap to Curie-Weiss like behavior indicating the existence of free magnetic moments in the Zn doped system. We interpret these results within the RVB picture.