Why the superfluid density tracks $T_{\mathrm{c}}$ in cuprate superconductors?

Abstract

One of the first finding concerning the superconducting (SC) density $n_{\mathrm{sc}}$ in cuprates was their small magnitudes that revealed the importance of phase fluctuations. More recently, measurements in a variety of overdoped cuprates indicate that it is also much smaller than expected from BCS theories and falls smoothly to zero as doping is increased. We explain these observations by an electronic phase separation theory with a Ginzburg-Landau potential $V_{\mathrm{GL}}$ that produces alternating charge domains whose fluctuations lead to localized SC order parameters that are connected by Josephson coupling $E_{\mathrm{J}}$. The average $⟨E_{\mathrm{J}}(p,T)⟩$ is proportional to the local superfluid phase stiffness ${\rho }_{\mathrm{sc}}\propto n_{\mathrm{sc}}$. The fraction of condensed carriers decreases in the overdoped region due to the weakening of $V_{\mathrm{GL}}$. The results agreed with ${\rho }_{\mathrm{sc}}(p)$ vs. $T_{\mathrm{c}}(p)$ and the Drude-like peak measurements.

arXiv comment5 pages, 5 figures

References in corpus (28)

• Theory of Intertwined Orders in High Temperature Superconductors
• Visualizing pair formation on the atomic scale in the high-Tc superconductor Bi2Sr2CaCu2O8+d
• Resonant x-ray scattering studies of charge order in cuprates
• 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
• Temporal correlations of superconductivity above the transition temperature in La${}_{2-x}$Sr${}_x$CuO${}_4$ probed by terahertz spectroscopy
• Fermi Surface and Pseudogap Evolution in a Cuprate Superconductor
• 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
• Photoemission perspective on pseudogap, superconducting fluctuations, and charge order in cuprates: a review of recent progress
• Numerical Study of the Cahn-Hilliard Equation in One, Two and Three Dimensions
• Impurity scattering and localization in $d$-wave superconductors
• Locating the missing superconducting electrons in overdoped cuprates
• Superconducting charge-ordered states in cuprates
• Tunnel junctions of unconventional superconductors
• Superfluid response in monolayer high-Tc cuprates
• Dynamical electronic nematicity from Mott physics
• Superconductor-to-Metal Quantum Phase Transition in Overdoped $L{a}_{2-x}S{r}_{x}Cu{O}_4$
• 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
• The Effects of Phase Separation in the Cuprate Superconductors
• Theory of the Fermi Arcs, the Pseudogap, $T_c$ and the Anisotropy in k-space of Cuprate Superconductors
• Universal inhomogeneous magnetic-field response in the normal state of cuprate high-Tc superconductors
• The Disordered Induced Interaction and the Phase Diagram of Cuprates
• Comment on 'Diamagnetism and Cooper pairing above Tc in cuprates'
• Superconducting correlations induced by charge ordering in cuprate superconductors and Fermi arc formation
• Calculations of quantum oscillations in cuprate superconductors considering the pseudogap