A theory of coupled dual dynamics of macroscopic phase coherence and microscopic electronic fluids: effect of dephasing on cuprate superconductivity

Abstract

By using the gauge-invariant kinetic equation approach [Yang and Wu, Phys. Rev. B {\bf 98}, 094507 (2018); {\bf 100}, 104513 (2019)], we construct the coupled dual dynamics of macroscopic phase coherence and microscopic electronic fluids in cuprate superconductors. We prove that the developed dual dynamics provides an efficient and simplified approach to formulate the dephasing process of macroscopic superconducting phase coherence, as well as its influence on microscopic electronic fluids (including gap, densities of superfluid and normal fluid, and in particular, the transport property to determine superconducting transition temperature $T_c$). We then present theoretical description of the preformed Cooper pairs in pseudogap state. The key origin of pseudogap state comes from the quantum effect of disorder, which excites the macroscopic inhomogeneous phase fluctuation through Josephson effect. Influenced by this phase fluctuation, there exist normal fluid and viscous superfluid below $T_c$ in cuprate superconductors, in addition to conventional non-viscous superfluid. The normal fluid always emerges around nodal points even at zero temperature, whereas the viscous superfluid emerges due to the friction between superfluid and normal fluid. Particularly, the non-viscous superfluid gets suppressed when the phase fluctuation is enhanced by increasing temperature, until vanishes at $T_c$. Then, the system enters the pseudogap state, showing the nonzero resistivity as well as the finite gap from the viscous superfluid. By further increasing temperature to $T^{\mathrm{os}}$, the viscous superfluid and hence gap vanish. An experimental scheme to distinguish the densities of normal fluid as well as viscous and non-viscous superfluids is proposed. Finally, this theory is also applied to low-dimensional disordered $s$-wave superconductors.

24 pages, 5 figures

References in corpus (18)

• Direct observation of competition between superconductivity and charge density wave order in YBa2Cu3Oy
• Visualizing pair formation on the atomic scale in the high-Tc superconductor Bi2Sr2CaCu2O8+d
• The Ground State of the Pseudogap in Cuprate Superconductors
• Appearance of fluctuating stripes at the onset of the pseudogap in the high-Tc Superconductor Bi2Sr2CaCu2O8+x
• Quasiparticle mass enhancement approaching optimal doping in a high-Tc superconductor
• Electronic Origin of the Inhomogeneous Pairing Interaction in the High-Tc Superconductor Bi2Sr2CaCu2O8+d
• Phase fluctuations in a strongly disordered s-wave superconductor close to the metal-insulator transition
• Evolution of the electronic excitation spectrum with strongly diminishing hole-density in superconducting Bi_{2}Sr_{2}CaCu_{2}O_{8+δ}
• Point nodes persisting far beyond Tc in Bi2212
• Pseudogap phase of cuprate superconductors confined by Fermi surface topology
• Giant Nernst Effect due to Fluctuating Cooper Pairs in Superconductors
• Frequency dependent superfluid stiffness in the pseudogap regime in strongly disordered NbN thin films
• Persistence of superconducting condensate far above the critical temperature in YBa${}_2$(Cu,Zn)${}_3$O${}_y$ revealed by $c$-axis optical conductivity measurements for several Zn concentrations and carrier doping levels
• Supercurrent in Nodal Superconductors
• Gapped superconductivity with all symmetries in InSb (110) quantum wells in proximity to s-wave superconductor in Fulde-Ferrell-Larkin-Ovchinnikov phase or with a supercurrent
• Investigation of Precursor Superconducting State in YBa${}_2$Cu${}_3$O${}_{7-\delta }$ through In-plane Optical Spectroscopy
• A novel superconducting-velocity--tunable quasiparticle state and spin relaxation in GaAs (100) quantum wells in proximity to $s$-wave superconductor
• Optical properties of the optimally doped Ca${}_{8.5}$La${}_{1.5}$(Pt${}_3$As${}_8$)(Fe${}_2$As${}_2$)${}_5$ single crystal

Cited by in corpus (1)

• Impurity scattering in superconductors revisited