Reconciling scaling of the optical conductivity of cuprate superconductors with Planckian resistivity and specific heat

Abstract

Materials tuned to a quantum critical point display universal scaling properties as a function of temperature $T$ and frequency $\omega$. A long-standing puzzle regarding cuprate superconductors has been the observed power-law dependence of optical conductivity with an exponent smaller than one, in contrast to $T$-linear dependence of the resistivity and $\omega$-linear dependence of the optical scattering rate. Here, we present and analyze resistivity and optical conductivity of La${}_{2-x}$Sr${}_x$CuO${}_4$ with $x=0.24$. We demonstrate $\hslash \omega /k_{\mathrm{B}}T$ scaling of the optical data over a wide range of frequency and temperature, $T$-linear resistivity, and optical effective mass proportional to $\sim \ln T$ corroborating previous specific heat experiments. We show that a $T,\omega$-linear scaling Ansatz for the inelastic scattering rate leads to a unified theoretical description of the experimental data, including the power-law of the optical conductivity. This theoretical framework provides new opportunities for describing the unique properties of quantum critical matter.

arXiv commentAccepted version

References in corpus (58)

• Gapless Spin-Fluid Ground State in a Random Quantum Heisenberg Magnet
• Electrodynamics of Correlated Electron Materials
• Band-structure trend in hole-doped cuprates and correlation with Tcmax
• Towards strange metallic holography
• Change of carrier density at the pseudogap critical point of a cuprate superconductor
• Powerlaw optical conductivity with a constant phase angle in high Tc superconductors
• Singular Fermi Liquids
• The remarkable underlying ground states of cuprate superconductors
• Universal $T$-linear resistivity and Planckian limit in overdoped cuprates
• Non-Fermi liquid regime of a doped Mott insulator
• Linear-T resistivity and change in Fermi surface at the pseudogap critical point of a high-Tc superconductor
• Non-Fermi liquid behavior of SrRuO_3 -- evidence from infrared conductivity
• On-chain electrodynamics of metallic (TMTSF)_2 X salts: Observation of Tomonaga-Luttinger liquid response
• Linear in Temperature Resistivity and Associated Mysteries
• Thermodynamic signatures of quantum criticality in cuprates
• Phenomenology of the normal state in-plane transport properties of high-$T_c$ cuprates
• Overscreened multi-channel SU(N) Kondo model : large-N solution and Conformal Field Theory
• Temperature Dependent Scattering Rates at the Fermi Surface of Optimally Doped Bi 2212
• Planckian Dissipation in Metals
• Scale-invariant magnetoresistance in a cuprate superconductor
• Planckian dissipation, minimal viscosity and the transport in cuprate strange metals
• Doping dependent optical properties of Bi2Sr2CaCu2O8+d
• General Relativity and the Cuprates
• Electrodynamics of the Nodal Metal in Weakly Doped High-$T_c$ Cuprates
• Holographic Metals and Insulators with Helical Symmetry
• Pseudogap temperature $T^{\star }$ of cuprate superconductors from the Nernst effect
• Linear-in temperature resistivity from an isotropic Planckian scattering rate
• Fermi-surface transformation across the pseudogap critical point of the cuprate superconductor La${}_{1.6-x}$Nd${}_{0.4}$Sr${}_x$CuO${}_4$
• Non-Drude universal scaling laws for the optical response of local Fermi liquids
• Hidden magnetism at the pseudogap critical point of a high temperature superconductor
• Heavy Carriers and Non-Drude Optical Conductivity in MnSi
• Pressure-induced deconfinement of the charge transport in the quasi-one-dimensional Mott insulator (TMTTF)_2AsF_6
• High Frequency Behavior of the Infrared Conductivity of Cuprates
• Electron scattering, charge order, and pseudogap physics in La${}_{1.6-x}$Nd${}_{0.4}$Sr${}_x$CuO${}_4$: An angle resolved photoemission spectroscopy study
• Electron Self-Energy and Generalized Drude Formula for Infrared Conductivity of Metals
• Reconciling scaling of the optical conductivity of cuprate superconductors with Planckian resistivity and specific heat
• Anisotropic quasiparticle scattering rates in slightly underdoped to optimally doped high-temperature \LSCO\ superconductors
• Spatial Modulation and Conductivities in Effective Holographic Theories
• Optical and thermodynamic properties of the high-temperature superconductor HgBa_2CuO_4+delta
• Normal state specific heat in the cuprates La${}_{2-x}$Sr${}_x$CuO${}_4$ and Bi${}_{2+y}$Sr${}_{2-x-y}$La${}_x$CuO${}_{6+\delta }$ near the critical point of the pseudogap phase
• Seebeck coefficient in a cuprate superconductor: particle-hole asymmetry in the strange metal phase and Fermi surface transformation in the pseudogap phase
• In-plane optical spectral weight transfer in optimally doped Bi${}_2$Sr${}_2$Ca${}_2$Cu${}_3$O${}_{10}$
• Band Structure and Terahertz Optical Conductivity of Transition Metal Oxides: Theory and Application to CaRuO${}_3$
• Origin of the metal-to-insulator crossover in cuprate superconductors
• Skewed Non-Fermi Liquids and the Seebeck Effect
• Optical conductivity of a two-dimensional metal at the onset of spin-density-wave order
• Scaling properties of the optical conductivity of Bi-based cuprates
• Fractional Electromagnetism in Quantum Matter and High-Energy Physics
• Planckian Metal at a Doping-Induced Quantum Critical Point
• Transport signatures of the pseudogap critical point in the cuprate superconductor Bi${}_2$Sr${}_{2-x}$La${}_x$CuO${}_{6+\delta }$
• Electrical conductivity in the Hubbard model: orbital effects of magnetic field
• Strange Metallic Behaviour and the Thermodynamics of Charged Dilatonic Black Holes
• Absence of Power-Law Mid-Infrared Conductivity in Gravitational Crystals
• Pressure dependence of the single particle excitation in the charge-density-wave CeTe${}_3$ system
• Quasiparticles in high temperature superconductors: consistency of angle resolved photoemission and optical conductivity
• The spectral weight of hole doped cuprates across the pseudogap critical point
• Resonant Inelastic X-ray Scattering Study of Electron-Exciton Coupling in High-Tc Cuprates
• Scaling of the Holographic AC conductivity for non-Fermi liquids at criticality

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• Superlinear Hall angle and carrier mobility from non-Boltzmann magnetotransport in the spatially disordered Yukawa-Sachdev-Ye-Kitaev model on a square lattice
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• Critical spin fluctuations across the superconducting dome in La${}_{2-x}$Sr${}_x$CuO${}_4$
• Pseudogap and strange metal states in the square-lattice Hubbard model: A comprehensive study
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• Strange metal in the doped Hubbard model via percolation
• Phonon Induced Energy Relaxation in Quantum Critical Metals
• Path-Integral Approach to Quantum Acoustics
• Universal Mott quantum criticality in a modified periodic Anderson model
• Upper bound on $T_c$ in a strongly coupled electron-boson superconductor
• Effects of background rotation and anisotropy in the holographic description of type-II superconductors
• Strong effects of thermally induced low-spin-to-high-spin crossover on transport properties of correlated metals
• Concealed Mott Criticality: Unifying the Kondo Breakdown and Doped Charge-Transfer Insulators