A framework for the description of charge order, pseudo and superconducting gap, critical temperature and pairing interaction in cuprate superconductors

Abstract

A unified phenomenological description framework is proposed for the evaluation of some of the most important observables of the cuprate superconductors: the pseudogap (PG) ${\Delta }_{\mathrm{PG}}$, the local superconducting amplitudes ${\Delta }_{\mathrm{SC}}(r_i)$, the critical temperature $T_{\mathrm{c}}$ and charge ordering (CO) parameters. Recently detailed measurements of CO structures and CO wavelengths ${\lambda }_{\mathrm{CO}}$ are faithfully reproduced by solutions of a Cahn-Hilliard differential equation with a free energy potential $V_{\mathrm{GL}}$ that produces alternating small charge modulations. The charge oscillations induce atomic fluctuations that mediate the SC pair interaction proportional to the $V_{\mathrm{GL}}$ amplitude. The local SC amplitude and phase ${\theta }_i$ are connected by Josephson coupling $E_{\mathrm{J}}(r_{\mathrm{ij}})$ and the SC long-range order transition occurs when $⟨E_{\mathrm{J}}⟩\sim k_{\mathrm{B}}{T}_{\mathrm{c}}$. The calculated results of the wavelength ${\lambda }_{\mathrm{CO}}$, ${\Delta }_{\mathrm{PG}}$, $⟨{\Delta }_{\mathrm{SC}}⟩$ and $T_{\mathrm{c}}$ calculations are in good agreement with a variety of experiments.

arXiv comment5 pages, 5 figures

References in corpus (43)

• Theory of Phase Ordering Kinetics
• Theory of Intertwined Orders in High Temperature Superconductors
• Magnetic-field-induced charge-stripe order in the high temperature superconductor YBa2Cu3Oy
• Imaging the granular structure of high-Tc superconductivity in underdoped Bi2Sr2CaCu2O8+x
• A `checkerboard' electronic crystal state in lightly hole-doped Ca_{2-x}Na_{x}CuO_{2}Cl_{2}
• Ubiquitous Interplay between Charge Ordering and High-Temperature Superconductivity in Cuprates
• Charge order driven by Fermi-arc instability in Bi2201
• Visualizing pair formation on the atomic scale in the high-Tc superconductor Bi2Sr2CaCu2O8+d
• Resonant x-ray scattering studies of charge order in cuprates
• Polar Kerr Effect Measurements of YBa2Cu3O6+x: Evidence for Broken Symmetry Near the Pseudogap Temperature
• Charge density wave origin of cuprate checkerboard visualized by scanning tunneling microscopy
• Electronic Phase Diagram of High-T_c Cuprate Superconductors from a Mapping of the In-Plane Resistivity Curvature
• Resonant X-ray Scattering Study of Charge Density Wave Correlations in YBa${}_2$Cu${}_3$O${}_{6+x}$
• Inhomogeneity of charge density wave order and quenched disorder in a high Tc superconductor
• Appearance of fluctuating stripes at the onset of the pseudogap in the high-Tc Superconductor Bi2Sr2CaCu2O8+x
• Competing charge, spin, and superconducting orders in underdoped YBa2Cu3Oy
• Temporal correlations of superconductivity above the transition temperature in La${}_{2-x}$Sr${}_x$CuO${}_4$ probed by terahertz spectroscopy
• Broken translational and rotational symmetry via charge stripe order in underdoped YBCO
• Evolution of the electronic excitation spectrum with strongly diminishing hole-density in superconducting Bi_{2}Sr_{2}CaCu_{2}O_{8+δ}
• The superfluid density in cuprate high-Tc superconductors - a new paradigm
• Evidence of precursor superconductivity as high as 180 K from infrared spectroscopy
• Evidence for pairing above Tc from the dispersion in the pseudogap phase of cuprates
• High Temperature Superconductivity: Ineluctable Complexity
• Numerical Study of the Cahn-Hilliard Equation in One, Two and Three Dimensions
• Pseudogap, Superconducting Gap, and Fermi Arc in High-Tc Cuprates Revealed by Angle-Resolved Photoemission Spectroscopy
• Synchrotron x-ray scattering study of charge-density-wave order in HgBa${}_2$CuO${}_{4+\delta }$
• Optical Birefringence and Dichroism of Cuprate Superconductors in the THz regime
• Superconducting charge-ordered states in cuprates
• Distinct doping dependences of the pseudogap and superconducting gap La${}_{2-x}$Sr${}_x$CuO${}_4$ cuprate superconductors
• Dynamical electronic nematicity from Mott physics
• Phase diagram for Coulomb-frustrated phase separation in systems with negative short-range compressibility
• Vestigial nematicity from spin and/or charge order in the cuprates
• Exchange and spin-fluctuation superconducting pairing in cuprates
• Evidence for strong lattice effects as revealed from huge unconventional oxygen isotope effects on the pseudogap temperature in La${}_{2-x}$Sr${}_x$CuO${}_4$
• Charge modulations vs. strain waves in resonant x-ray scattering
• Doping Dependence of Two Energy Scales in the Tunneling Spectra of Superconducting La${}_{2-x}$Sr${}_x$CuO${}_4$
• The n_s - T_c correlations in granular superconductors
• Theory of the Fermi Arcs, the Pseudogap, $T_c$ and the Anisotropy in k-space of Cuprate Superconductors
• Static Charge Density Wave Order in the Superconducting State of La2-xBaxCuO4
• Universal inhomogeneous magnetic-field response in the normal state of cuprate high-Tc superconductors
• The Disordered Induced Interaction and the Phase Diagram of Cuprates
• Charge segregation model for superconducting correlations in cuprates above $T_c$
• Superconducting correlations induced by charge ordering in cuprate superconductors and Fermi arc formation

Cited by in corpus (4)

• Evidence that cuprate superconductors form an array of nanoscopic Josephson junctions
• Unified model of the Hall effect from insulator to overdoped compounds in cuprate superconductors
• The role of the pseudogap in cuprate superconductors revealed by the Hall effect
• Generalization of interlayer tunneling models to cuprate superconductors with charge density waves