Incorporation of charge- and pair-density-wave states into the one-band model of d-wave superconductivity

Abstract

We study the coexistence of pair- (PDW) and charge-density-wave (CDW) states within the single-band $t$-$J$-$U$ and Hubbard models of $d$-$wave$ superconductivity and discuss our results in the context of the experimental observations for the copper-based compounds. In order to take into account the correlation effects with a proper precision, we use the approach based on the diagrammatic expansion of the Gutzwiller wave function (DE-GWF), that goes beyond the renormalized mean field theory (RMFT) in a systematic manner. According to our analysis of the $t$-$J$-$U$ model, the transition between the pure $d$-$wave$ superconducting phase (SC) and the coexistent CDW+PDW phase takes place at $\delta \approx 0.18$ (close to the optimal doping), with the modulated phase located in the underdoped regime. The situation is slightly different for the case of the Hubbard model, where a narrow stability regime of a precursor nematic phase sets in preceding the formation of the modulated CDW+PDW state, with the decreasing hole doping. The results complete our discussion of the standard phase diagram for high-T${}_C$ superconducting compounds within the DE-GWF variational approach in the single narrow-band case.

References in corpus (27)

• Direct observation of competition between superconductivity and charge density wave order in YBa2Cu3Oy
• Resonant X-ray Scattering Study of Charge Density Wave Correlations in YBa${}_2$Cu${}_3$O${}_{6+x}$
• Striped superconductors: How the cuprates intertwine spin, charge and superconducting orders
• Connection between charge-density-wave order and charge transport in the cuprate superconductors
• Distinct Charge Orders in the Planes and Chains of Ortho-III-Ordered YBa${}_2$Cu${}_3$O${}_{6+\delta }$ Superconductors Identified by Resonant Elastic X-ray Scattering
• Charge $4e$ superconductivity from pair density wave order in certain high temperature superconductors
• Incipient charge order observed by NMR in the normal state of YBa2Cu3Oy
• Dislocations and vortices in pair density wave superconductors
• X-ray diffraction observation of charge density wave order at zero magnetic field in ortho-II YBa${}_2$Cu${}_3$O${}_{6.54}$
• Competing charge, spin, and superconducting orders in underdoped YBa2Cu3Oy
• Broken translational and rotational symmetry via charge stripe order in underdoped YBCO
• Coexistence of charge-density-wave and pair-density-wave orders in underdoped cuprates
• Unconventional superfluid in a two-dimensional Fermi gas with anisotropic spin-orbit coupling and Zeeman fields
• Pair density wave, charge density wave and vortex in high Tc cuprates
• Bond order instabilities in a correlated two-dimensional metal
• Charge ordering and correlation effects in the extended Hubbard model
• Density-wave instabilities of fractionalized Fermi liquids
• Pair Density Waves in Superconducting Vortex Halos
• Extended Hubbard model: Charge Ordering and Wigner-Mott transition
• Universal properties of high temperature superconductors from real space pairing: t-J-U model and its quantitative comparison with experiment
• Doping driven metal-insulator transitions and charge orderings in the extended Hubbard model
• Checkerboard order in vortex cores from pair-density-wave superconductivity
• Universal properties of high-temperature superconductors from real-space pairing III: The role of correlated hopping and intersite Coulomb interaction within the t-J-U model
• Effect of interlayer processes on the superconducting state within t-J-U model: Full Gutzwiller wave-function solution and relation to experiment
• Antiferromagnetism, charge density wave, and d-wave superconductivity in the extended $t$--$J$--$U$ model: role of intersite Coulomb interaction and a critical overview of renormalized mean field theory
• Interplay Between $d$-wave Superconductivity and a Bond Density Wave in the one-band Hubbard model
• Stability of the coexistent superconducting-nematic phase under the presence of intersite interactions

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• Extending the Gutzwiller approximation to intersite interactions
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• Non-Fermi Liquid Behavior of the $t$-$J$ Model in the Strange Metal Phase: $U(1)$ Gauge Theory Consistent with Local Constraints