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.

arXiv comment24 pages, 5 figures

References in corpus (79)

• Angle-resolved photoemission spectroscopy of the cuprate superconductors
• The pseudogap in high-temperature superconductors: an experimental survey
• Direct observation of competition between superconductivity and charge density wave order in YBa2Cu3Oy
• Destruction of the Fermi Surface in Underdoped High Tc Superconductors
• The Nernst effect in high-$T_c$ superconductors
• Intra-unit-cell electronic nematicity of the high-Tc copper-oxide pseudogap states
• Quantum Magnetic Excitations from Stripes in Copper-Oxide Superconductors
• Charge order driven by Fermi-arc instability in Bi2201
• Broken rotational symmetry in the pseudogap phase of a high-Tc superconductor
• Spin dynamics in semiconductors
• Vanishing of phase coherence in underdoped Bi_2Sr_2CaCu_2O_8+d
• Visualizing pair formation on the atomic scale in the high-Tc superconductor Bi2Sr2CaCu2O8+d
• Change of carrier density at the pseudogap critical point of a cuprate superconductor
• Electronic Phase Diagram of High-T_c Cuprate Superconductors from a Mapping of the In-Plane Resistivity Curvature
• The onset of the vortex-like Nernst signal above Tc in La_{2-x}Sr_xCuO_4 and Bi_2Sr_{2-y}La_yCuO_6
• Diamagnetism and Cooper pairing above $T_c$ in cuprates
• On the superconductivity in the system with preformed pairs
• The Ground State of the Pseudogap in Cuprate Superconductors
• Field-enhanced diamagnetism in intense magnetic field in the pseudogap state of the cuprate $\rm Bi_2Sr_2CaCu_2O_{8+δ}
• Linear-T resistivity and change in Fermi surface at the pseudogap critical point of a high-Tc superconductor
• Gaussian superconducting fluctuations, thermal transport, and the Nernst effect
• Superconductivity in Few-Layer Stanene
• Appearance of fluctuating stripes at the onset of the pseudogap in the high-Tc Superconductor Bi2Sr2CaCu2O8+x
• Quasiparticle mass enhancement approaching optimal doping in a high-Tc superconductor
• Electronic Origin of the Inhomogeneous Pairing Interaction in the High-Tc Superconductor Bi2Sr2CaCu2O8+d
• Disentangling Cooper-pair formation above Tc from the pseudogap state in the cuprates
• Temporal correlations of superconductivity above the transition temperature in La${}_{2-x}$Sr${}_x$CuO${}_4$ probed by terahertz spectroscopy
• Phase fluctuations in a strongly disordered s-wave superconductor close to the metal-insulator transition
• The high-field phase diagram of the cuprates derived from the Nernst effect
• Evolution of the electronic excitation spectrum with strongly diminishing hole-density in superconducting Bi_{2}Sr_{2}CaCu_{2}O_{8+δ}
• Phase diagram of a strongly disordered s-wave superconductor, NbN, close to the metal-insulator transition
• Evidence of precursor superconductivity as high as 180 K from infrared spectroscopy
• Higgs mode in the d-wave superconductor Bi2Sr2CaCu2O8+x driven by an intense terahertz pulse
• Phase-resolved Higgs response in superconducting cuprates
• Metal-insulator quantum critical point beneath the high Tc superconducting dome
• Pseudogap temperature $T^{\star }$ of cuprate superconductors from the Nernst effect
• Point nodes persisting far beyond Tc in Bi2212
• Fermi-surface transformation across the pseudogap critical point of the cuprate superconductor La${}_{1.6-x}$Nd${}_{0.4}$Sr${}_x$CuO${}_4$
• Charge density waves in cuprate superconductors beyond the critical doping
• Effective Lagrangians for BCS Superconductors at T=0
• Field-induced transition between magnetically disordered and ordered phases in underdoped La(2-x)SrxCuO4
• Locating the missing superconducting electrons in overdoped cuprates
• Collapse of the Fermi surface and fingerprints of order in the pseudogap state of cuprate superconductors
• Pseudogap phase of cuprate superconductors confined by Fermi surface topology
• Temperature range of superconducting fluctuations above T_c in YBa_2Cu_3O_{7-δ} single crystals
• Disorder and superfluid density in overdoped cuprate superconductors
• Giant Nernst Effect due to Fluctuating Cooper Pairs in Superconductors
• Strongly nonlinear magnetization above $T_c$ in $\mathrm{B}{\mathrm{i}}_2\mathrm{S}{\mathrm{r}}_2\mathrm{CaC}{\mathrm{u}}_2{\mathrm{O}}_{8+\delta }$
• Collective energy gap of preformed Cooper-pairs in disordered superconductors
• Frequency dependent superfluid stiffness in the pseudogap regime in strongly disordered NbN thin films
• Thermodynamics and Phase Diagram of High Temperature Superconductors
• Persistent Charge Density Wave Memory in a Cuprate Superconductor
• 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
• Superconducting fluctuations probed by the Higgs mode in Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+x}$ thin films
• From Mott to not: phenomenology of overdoped cuprates
• Critical microwave-conductivity fluctuations across the phase diagram of superconducting La${}_{2-x}$Sr${}_x$CuO${}_4$ thin films
• Doppler Shift in Andreev Reflection from a Moving Superconducting Condensate in Nb/InAs Josephson Junctions
• Signatures of superconductivity and pseudogap formation in non-equilibrium nodal quasiparticles revealed by ultrafast angle-resolved photoemission
• Gauge-invariant microscopic kinetic theory of superconductivity: application to electromagnetic response of Nambu-Goldstone and Higgs modes
• Detection of electronic nematicity using scanning tunneling microscopy
• Superconducting fluctuations in overdoped Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$
• Magnetic field influence on the proximity effect in semiconductor - superconductor hybrid structures and their thermal conductance
• Supercurrent in Nodal Superconductors
• Universal superconducting precursor in the cuprates
• Finite Temperature Time-Dependent Effective Theory For The Goldstone Field In A BCS-Type Superfluid
• Ultrafast dynamics of fluctuations in high-temperature superconductors far from equilibrium
• Gauge-invariant microscopic kinetic theory of superconductivity in response to electromagnetic fields
• Spontaneous Vortex Phase in the Bosonic RVB Theory
• Superconducting Fluctuation investigated by THz Conductivity of La${}_{2-x}$Sr${}_x$CuO${}_4$ Thin Films
• Theory of Higgs Modes in $d$-Wave Superconductors
• Influence of scattering on optical response of superconductivity
• 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
• Hidden charge-conjugation, parity, and time-reversal symmetries and massive Goldstone (Higgs) modes in superconductors
• Fulde-Ferrell-Larkin-Ovchinnikov state in spin-orbit-coupled superconductors
• 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
• Influence of nano-hole defects and their geometric arrangements on the superfluid density in atomically thin single crystals of indium superconductor
• Phenomenological Single-Particle Green's Function for the Pseudogap and Superconducting Phases of High-T${}_c$ Cuprates

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