Gutzwiller Charge Phase Diagram of Cuprates, including Electron-Phonon Coupling Effects

Abstract

Besides significant electronic correlations, high-temperature superconductors also show a strong coupling of electrons to a number of lattice modes. Combined with the experimental detection of electronic inhomogeneities and ordering phenomena in many high-T_c compounds, these features raise the question as to what extent phonons are involved in the associated instabilities. Here we address this problem based on the Hubbard model including a coupling to phonons in order to capture several salient features of the phase diagram of hole-doped cuprates. Charge degrees of freedom, which are suppressed by the large Hubbard U near half-filling, are found to become active at a fairly low doping level. We find that possible charge order is mainly driven by Fermi surface nesting, with competition between a near-(pi,pi) order at low doping and antinodal nesting at higher doping, very similar to the momentum structure of magnetic fluctuations. The resulting nesting vectors are generally consistent with photoemission and tunneling observations, evidence for charge density wave (CDW) order in YBa_2Cu_3O_{7-delta} including Kohn anomalies, and suggestions of competition between one- and two-q-vector nesting.

This is a revised version of arXiv:1207.5715. 25 pages, 5 figures, plus Supplement [7 pages, 7 figures], available as a pdf [click on other, then Download Source, & extract pdf file from zip] Manuscript is under consideration at the NJP

References in corpus (30)

• Direct observation of competition between superconductivity and charge density wave order in YBa2Cu3Oy
• Quantum oscillations and the Fermi surface in an underdoped high-Tc superconductor
• Quantum phase transitions of metals in two spatial dimensions: II. Spin density wave order
• Charge density wave origin of cuprate checkerboard visualized by scanning tunneling microscopy
• How Cooper pairs vanish approaching the Mott insulator in Bi2Sr2CaCu2O8+d
• 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
• Quantum Oscillations in the Underdoped Cuprate YBa2Cu4O8
• Shubnikov-de Haas oscillations in YBa_2Cu_4O_8
• Direct phase-sensitive identification of a d-form factor density wave in underdoped cuprates
• X-ray diffraction observation of charge density wave order at zero magnetic field in ortho-II YBa${}_2$Cu${}_3$O${}_{6.54}$
• Appearance of fluctuating stripes at the onset of the pseudogap in the high-Tc Superconductor Bi2Sr2CaCu2O8+x
• Lifshitz critical point in the cuprate superconductor YBa2Cu3Oy from high-field Hall effect measurements
• Spin correlations in the electron-doped high-transition-temperature superconductor Nd{2-x}Ce{x}CuO{4+/-delta}
• A quantum phase transition from triangular to stripe charge order in NbSe${}_2$
• Visualizing the emergence of the pseudogap state and the evolution to superconductivity in a lightly hole-doped Mott insulator
• Alternative route to charge density wave formation in multiband systems
• Optical conductivity and the correlation strength of high temperature copper-oxide superconductors
• Role of backflow correlations for the non-magnetic phase of the t-t' Hubbard model
• Bond order instabilities in a correlated two-dimensional metal
• Doping evolution of the electronic structure in the single-layer cuprates Bi${}_2$Sr${}_{2-x}$La${}_x$CuO${}_{6+\delta }$: Comparison with other single-layer cuprates
• Quantum oscillations from nodal bilayer magnetic breakdown in the underdoped high temperature superconductor YBa2Cu3O6+x
• Momentum dependence of the electron-phonon coupling and self-energy effects in YBa_2Cu_3O_7 within the local density approximation
• Intermediate Coupling Model of the Cuprates
• Spin-stripe density varies linearly with hole content in single-layer Bi2201 cuprate
• Charge instabilities and electron-phonon interaction in the Hubbard-Holstein model
• SU(3) Landau gauge gluon and ghost propagators using the logarithmic lattice gluon field definition
• Failure of t-J models in describing doping evolution of spectral weight in x-ray scattering, optical and photoemission spectra of the cuprates
• Stripes in cuprate superconductors: Excitations and dynamic dichotomy
• Gutzwiller Magnetic Phase Diagram of the Undoped t-t'-U Hubbard Model

Cited by in corpus (3)

• High-order Van Hove singularities in cuprates and related high-Tc superconductors
• Exact results for the Hubbard model on bipartite lattices in spatial dimensions $d>1$: Seven theorems from the full [SU(2)$\times$SU(2)$\times$U(1)]/${\mathbb{Z}}_2^2$ symmetry
• Giant Kohn anomaly and chiral phonons in the charge density wave phase of 1H-NbSe${}_2$