Genesis of charge orders in high temperature superconductors

Abstract

One of the most puzzling facts about cuprate high-temperature superconductors in the lightly doped regime is the coexistence of uniform superconductivity and/or antiferromagnetism with many low-energy charge-ordered states in a unidirectional charge density wave or a bidirectional checkerboard structure. Recent experiments have discovered that these charge density waves exhibit different symmetries in their intra-unit-cell form factors for different cuprate families. Using a renormalized mean-field theory for a well-known, strongly correlated model of cuprates, we obtain a number of charge-ordered states with nearly degenerate energies without invoking special features of the Fermi surface. All of these self-consistent solutions have a pair density wave intertwined with a charge density wave and sometimes a spin density wave. Most of these states vanish in the underdoped regime, except for one with a large d-form factor that vanishes at approximately 19% doping of the holes, as reported by experiments. Furthermore, these states could be modified to have a global superconducting order, with a nodal-like density of states at low energy.

19 pages, 9 figures, 4 tables

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Cited by in corpus (22)

• Visualizing the Energy-gap Modulations of the Cuprate Pair Density Wave State
• Visualizing the periodic modulation of Cooper pairing in a severely underdoped cuprate
• Charge-density-wave order takes over antiferromagnetism in Bi${}_2$Sr${}_{2-x}$La${}_x$CuO${}_6$ superconductors
• Atomic-scale Electronic Structure of the Cuprate Pair Density Wave State Coexisting with Superconductivity
• Locally commensurate charge-density wave with three-unit-cell periodicity in YBCO
• A dynamical mean-field theory study of stripe order and d-wave superconductivity in the two-dimensional Hubbard model
• Evolution of Pairing Orders between Pseudogap and Superconducting Phases of Cuprate Superconductors
• Incommensurate charge ordered states in the $t-t^{\prime }-J$ model
• Metallic and insulating stripes and their relation with superconductivity in the doped Hubbard model
• Evolution of Charge and Pair Density Modulations in Overdoped Bi2Sr2CuO6+delta
• Interplay Between $d$-wave Superconductivity and a Bond Density Wave in the one-band Hubbard model
• Competing orders in the Hofstadter t-J model
• Density Waves Cause Sub-Gap Structures but no Pseudogap in Superconducting Cuprates
• Out-of-plane bond-order phase, superconductivity, and their competition in the $t$-$J_{\parallel }$-$J_{\perp }$ model: Possible implications for bilayer nickelates
• Field-induced Bose-Einstein condensation and supersolid in the two-dimensional Kondo necklace
• Spectral evolution with doping of an antiferromagnetic Mott state
• Intertwined Orders and Electronic Structure in Superconducting Vortex Halos
• Stability of the coexistent superconducting-nematic phase under the presence of intersite interactions
• Interplay between charge, magnetic and superconducting order in a Kondo lattice with an attractive Hubbard interaction
• Frustration-Induced Supersolid Phases of Extended Bose-Hubbard Model in the Hard-Core Limit
• Charge modulation in the background of depleted superconductivity inside vortices
• Atomic-Scale Visualization of the Cuprate Pair Density Wave State