Charge, bond, and pair density wave orders in a strongly correlated system

Abstract

The coexistence of multiple quasi-degenerate orders is the hallmark of the strongly correlated materials. Experiments often reveal several spatially modulated orders in the underdoped cuprates. This has come to the forefront with the possible detection of the pair density wave states. However, microscopic calculations often struggle to stabilize such spatially modulating orders as the ground state in the strong correlation limit. This work uses the $t-t^{\prime }-J$-model with an additional nearest-neighbor repulsion to stabilize spatially oscillating charge, bond, and pairing orders in the underdoped regime. We employ the standard Gutzwiller approach while treating the inhomogeneity for the spatial orders using the self-consistent Hartree-Fock-Bogoliubov methodology. Our calculations reveal that unidirectional bond density states coexisting with charge and pairing modulations can have lower energy than the uniform superconducting state over an extensive doping range. These modulating states vanish monotonically as the modulation wavevector becomes shorter with increased dopings. The finite momentum orders melt upon increasing doping to a vestigial nematic state which breaks the rotational symmetry of the system. The spatial features of the ground state at each doping reveal multiple wavevectors, which potentially drives the incommensuration of charge orders. Interestingly, the spatially modulating states are absent when the strong correlations criteria are relaxed, suggesting that the removal of double occupancy aids the stabilization of density wave orders.

11 Pages, 6 Figures

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Cited by in corpus (10)

• Cascade of vestigial orders in two-component superconductors: nematic, ferromagnetic, s-wave charge-4e, and d-wave charge-4e states
• Phase Diagram of the Square-Lattice $t$-$J$-$V$ Model for Electron-Doped Cuprates
• Density matrix renormalization group study of quantum-geometry-facilitated pair density wave order
• Charge order near the antiferromagnetic quantum critical point in the trilayer high $T_c$ cuprate HgBa${}_2$Ca${}_2$Cu${}_3$O${}_{8+\delta }$
• Charge density wave solutions of the Hubbard model in the composite operator formalism
• Mean Field Study of Superconductivity in the Square Lattice $t$-$J$ Model with Three-Site Hopping
• Charge modulation in the background of depleted superconductivity inside vortices
• Proximity-induced charge density wave in a metallic system
• Pairing phase diagram for electron-doped cuprates in the square-lattice $t-U-V$ Hubbard model
• Probing quasiparticle excitations in a doped Mott insulator via Friedel oscillations