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.

arXiv comment23 pages, 10 figures, to be published in Journal of Physics: Condensed Matter

References in corpus (21)

• Angle-resolved photoemission spectroscopy of the cuprate superconductors
• The pseudogap in high-temperature superconductors: an experimental survey
• Observation of resonance condensation of fermionic atom pairs
• Imaging the granular structure of high-Tc superconductivity in underdoped Bi2Sr2CaCu2O8+x
• Local Ordering in the Pseudogap State of the High-T${}_c$ Superconductor Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$
• 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
• Signature of Superfluid Density in the Single-Particle Excitation Spectrum of Bi2Sr2CaCu2O8+delta
• The Spin Excitation Spectrum in Superconducting $\mathbf{YB}{\mathbf{a}}_2\mathbf{C}{\mathbf{u}}_3{\mathbf{O}}_{6.85}$
• High-transition-temperature superconductivity in the absence of the magnetic-resonance mode
• Bose-Einstein to BCS Crossover Picture for High-T_c Cuprates
• Universal Dispersive Excitations in the High-Temperature Superconductors
• Muon spin relaxation studies of incommensurate magnetism and superconductivity in stage-4 La${}_2$CuO${}_{4.11}$ and La${}_{1.88}$Sr${}_{0.12}$CuO${}_4$
• Anomalous peak in the superconducting condensate density of cuprate high T_{c} superconductors at a unique critical doping state
• Effect of the magnetic resonance on the electronic spectra of high Tc superconductors
• Superfluid density of high-Tc cuprate systems: implication on condensation mechanisms, heterogeneity and phase diagram
• Oxygen-isotope effect on the in-plane penetration depth in cuprate superconductors
• Evidence for two distinct energy scales in the Raman spectra of YBa2(CuNi)O6.95
• Electronic Raman scattering in the single-CuO2 layered superconductor Tl2Ba2CuO6+x
• Universal superconducting and magnetic properties of the (CaLa)(BaLa)CuO system: a MuSR investigation
• 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 (53)

• Magic-angle graphene superlattices: a new platform for unconventional superconductivity
• Defects in correlated metals and superconductors
• Quantum critical point lying beneath the superconducting dome in iron-pnictides
• A Sharp Peak of the Zero-Temperature Penetration Depth at Optimal Composition in BaFe2(As1-xPx)2
• Phase separation and suppression of critical dynamics at quantum transitions of itinerant magnets: MnSi and (Sr${}_{1-x}$Ca${}_x$)RuO${}_3$
• Possible topologically non-trivial superconducting order parameter in type-II Weyl semimetal T_d-MoTe_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
• Muon Spin Relaxation Studies of Magnetic-Field-Induced Effects in High-$T_c$ Superconductors
• Volume-wise destruction of the antiferromagnetic Mott insulating state through quantum tuning
• Classifying superconductivity in compressed H3S
• Superconducting ground state of a doped Mott insulator
• 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
• Local characterization of superconductivity in BaFe2(As1-xPx)2
• Classifying hydrogen-rich superconductors
• Energy-scale phenomenology and pairing via resonant spin-charge motion in FeAs, CuO, heavy-fermion and other exotic superconductors
• Twin spin/charge roton mode and superfluid density: primary determining factors of $T_c$ in high-$T_c$ superconductors observed by neutron, ARPES, and $\mu$SR
• Strong enhancement of conventional superconductivity near a quantum critical point of (Ca,Sr)_3Ir_4Sn_13
• 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)
• Mutual independence of critical temperature and superfluid density under pressure in optimally electron-doped superconducting LaFeAsO${}_{1-x}$F${}_x$
• Microscopic Parameters from High-Resolution Specific Heat Measurements on Overdoped BaFe${}_2$(As${}_{1-x}$P${}_x$)${}_2$ Single Crystals
• Mott physics, sign structure, ground state wavefunction, and high-Tc superconductivity
• 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 induced superconductivity in atomically thin Dirac-cone materials
• Spin-roton excitations in the cuprate superconductors
• Structural matters in HTSC; the origin and form of stripe organization and checker boarding
• Classifying superconductivity in ThH-ThD superhydrides/superdeuterides
• Probing the quantum phase transition in Mott insulator BaCoS_2 tuned by pressure and Ni-substitution
• Superconducting condensate residing on small Fermi pockets in underdoped cuprates
• Topological disorder triggered by interaction-induced flattening of electron spectra in solids
• Unconventional pressure dependence of the superfluid density in the nodeless topological superconductor $\alpha$-PdBi${}_2$
• Superconductivity of the FeSe/SrTiO3 Interface in the View of BCS-BEC Crossover
• Bose-Einstein condensation in multilayers
• Unconventional non-Fermi liquid state caused by nematic criticality in cuprates
• Fermi-liquid nonadiabatic highly-compressed cesium iodide superconductor
• Strong pairing in two dimensions: Pseudogaps, domes, and other implications
• Unconventional superconductivity originating from disconnected Fermi surfaces in the iron-based compound
• Lateral quantum confinement effect on monolayer high-Tc superconductors
• Angle evolution of the superconducting phase diagram in twisted bilayer WSe2
• Linear Scaling of the Superfluid Density with the Critical Temperature in the Layered Superconductor 2H-NbSe_2
• Characterization of near-room-temperature superconductivity in yttrium superhydrides
• Unconventional superconductivity in $\zeta$-phase of oxygen compressed to megabar pressure
• 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
• Coupled First-Order Transitions In A Fermi-Bose Mixture
• BCS-BEC crossover driven by small Fermi pockets of a high-Tc cuprate superconductor
• On the charged boson gas model as a theory of high Tc superconductivity