Condensation, excitation, pairing, and superfluid density in high-$T_c$ superconductors: magnetic resonance mode as a roton analogue and a possible spin-mediated pairing

Abstract

To find out a primary determing factor of $T_c$ and a pairing mechanism in high-$T_c$ cuprates, we combine the muon spin relaxation results on $n_s/m^{\ast }$ (superconducting carrier density / effective mass), accumulated over the last 15 years, with the results from neutron and Raman scattering, STM, specific heat, Nernst effect and ARPES measurements. We identify the neutron magnetic resonance mode as an analogue of roton minimum in the superfluid ${}^4$He, and argue that $n_s/m^{\ast }$ and the resonance mode energy $\hslash {\omega }_{res}$ play a primary role in determining $T_c$ in the underdoped region. We propose a picture that roton-like excitations in the cuprates appear as a coupled mode, which has the resonance mode for spin and charge responses at different momentum transfers but the same energy transfers, as detected respectively, by the neutron S=1 mode and the Raman S=0 A1${}_g$ mode. We shall call this as the ``hybrid spin/charge roton''. After discussing the role of dimensionality in condensation, we propose a generic phase diagram of the cuprates with spatial phase separation in the overdoped region as a special case of the BE-BCS crossover conjecture where the superconducting coupling is lost rapidly in the overdoped region. Using a microscopic model of charge motion resonating with antiferomagnetic spin fluctuations, we propose a possibility that the hybrid spin/charge roton and higher-energy spin fluctuations mediate the superconducting pairing. In this model, the resonance modes can be viewed as a meson-analogue and the ``dome'' shape of the phase diagram can be understood as a natural consequence of departure from the competing Mott insulator ground state via carrier doping.

23 pages, 10 figures, to be published in Journal of Physics: Condensed Matter

References in corpus (2)

• On the Charge Ordering Observed by Recent STM Experiments
• Roton Induced Modulations in Underdoped Cuprates as a Signature of Incipient Electronic Order

Cited by in corpus (25)

• A Sharp Peak of the Zero-Temperature Penetration Depth at Optimal Composition in BaFe2(As1-xPx)2
• Gate-controlled BCS-BEC crossover in a two-dimensional superconductor
• Strongly correlated superconductivity in a copper-based metal-organic framework with a perfect kagome lattice
• Strong coupling nature of kagome superconductivity in LaRu${}_3$Si${}_2$
• MuSR studies of RE(O,F)FeAs (RE = La, Nd, Ce) and LaOFeP systems: possible incommensurate/stripe magnetism and superfluid density
• Classifying superconductivity in compressed H3S
• Superfluid Density and Field-Induced Magnetism in Ba(Fe1-xCox)2As2 and Sr(Fe1-xCox)2As2 Measured with Muon Spin Relaxation
• Quantum Geometric Contributions to the BKT Transition: Beyond Mean Field Theory
• Full Gap Superconductivity in Ba${}_{0.6}$K${}_{0.4}$Fe${}_2$As${}_2$ Probed by Muon Spin Rotation
• Energy-scale phenomenology and pairing via resonant spin-charge motion in FeAs, CuO, heavy-fermion and other exotic superconductors
• Two superconducting states with broken time-reversal symmetry in FeSe1-xSx
• Dynamic Superconductivity Responses in Photo-excited Optical Conductivity and Nernst Effect
• Magnetic field dependence of charge stripe order in La2-xBaxCuO4 (x~1/8)
• Effect of Zn substitution on the suppression of Tc of Y1-xCaxBa2(Cu1-yZny)3O7-delta superconductors: pseudogap and the systematic shift of the optimum hole content
• Classifying superconductivity in ThH-ThD superhydrides/superdeuterides
• Probing the quantum phase transition in Mott insulator BaCoS_2 tuned by pressure and Ni-substitution
• Unconventional pressure dependence of the superfluid density in the nodeless topological superconductor $\alpha$-PdBi${}_2$
• Fermi-liquid nonadiabatic highly-compressed cesium iodide superconductor
• Unconventional non-Fermi liquid state caused by nematic criticality in cuprates
• Unconventional superconductivity originating from disconnected Fermi surfaces in the iron-based compound
• Angle evolution of the superconducting phase diagram in twisted bilayer WSe2
• Lateral quantum confinement effect on monolayer high-Tc superconductors
• Pressure-Induced Enhancement of Superfluid Density in Transition Metal Dichalcogenides with and without Charge Density Wave
• Thermodynamic phase diagram of the competition between superconductivity and charge order in cuprates
• BCS-BEC crossover driven by small Fermi pockets of a high-Tc cuprate superconductor