Charge- and pair-density-wave orders in the one-band Hubbard model with dynamical mean field theory

Abstract

We study the charge-density-wave order and its competition with superconductivity in the one-band Hubbard model for high-$T_c$ superconducting cuprates. We use cluster dynamical mean field theory (CDMFT) at $T=0$. The one-band Hubbard model only contains copper atoms, and a physical charge-density-wave with charge excesses located on the oxygen atoms manifests itself as a bond-density-wave (BDW) within this context. It arises purely out of local correlation effects and also leads to a $s^{\prime }$-wave pair-density-wave in the presence of $d$-wave superconductivity. The $d$-wave BDW is suppressed on increasing $U$ and is favored on increasing the magnitude of the second-neighbor hopping $t^{\prime }$. Further, the $d$-wave BDW order is weakened when in competition with superconductivity, as seen in experiments. Additionally it behaves quite differently on varying $U$ in the superconducting state compared to the normal state.

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• Intertwined spin, charge and pair correlations in the two-dimensional Hubbard model in the thermodynamic limit
• Non-Fermi liquid phase and linear-in-temperature scattering rate in overdoped two dimensional Hubbard model
• Identification of a Nematic Pair Density Wave State in Bi2Sr2CaCu2O8+x
• Yang-Lee Zeros, Semicircle Theorem, and Nonunitary Criticality in Bardeen-Cooper-Schrieffer Superconductivity
• Charge, bond, and pair density wave orders in a strongly correlated system
• Second-order phase transitions and divergent linear response in dynamical mean-field theory
• The Weak, the Strong and the Long Correlation Regimes of the Two-Dimensional Hubbard Model at Finite Temperature
• Raman Response of the Charge Density Wave in Cuprate Superconductors