Anisotropic Scattering and Anomalous Transport in a High Temperature Superconductor

Abstract

The metallic state of high temperature cuprate superconductors is markedly different from that of textbook metals. The origin of this unconventional state, characterized by unusual and distinct temperature dependences in the transport properties, remains unresolved despite intense theoretical efforts. Our understanding is impaired by our inability to determine experimentally the temperature and momentum dependence of the transport scattering rate. Here we use a novel magnetotransport probe to show that the unusual temperature dependences of the resistivity and the Hall coefficient in highly doped Tl${}_2$Ba${}_2$CuO${}_{6+\delta }$ originate from two distinct inelastic scattering channels. One channel is due to conventional electron-electron scattering whilst the other is highly anisotropic, has the same symmetry as the superconducting gap and a magnitude that grows approximately linearly with temperature. The observed form and anisotropy put tight constraints on theories of the metallic state. Moreover, in heavily doped non-superconducting cuprates, this anisotropic scattering term appears to be absent, suggesting an intimate connection between the origin of this scattering and superconductivity itself.

14 pages, 2 figures (plus Supplementary Information comprising 5 pages & 2 figures)

References in corpus (14)

• Singular quasiparticle scattering in the proximity of charge instabilities
• Electron-phonon coupling reflecting dynamic charge inhomogeneity in copper-oxide superconductors
• Heat Transport in a Strongly Overdoped Cuprate: Fermi Liquid and Pure d-wave BCS Superconductor
• Fermi Surface and Quasiparticle Excitations of overdoped Tl2Ba2CuO6+d by ARPES
• Dynamical Breakup of the Fermi Surface in a doped Mott Insulator
• The ground state of heavily-overdoped non-superconducting La${}_{2-x}$Sr${}_x$CuO${}_4$
• Direct relation between the low-energy spin excitations and superconductivity of overdoped high-$T_c$ superconductors
• Incoherent interlayer transport and angular-dependent magnetoresistance oscillations in layered metals
• Theory of the Resistive Transition in Overdoped $T{l}_{2}B{a}_{2}Cu{O}_{6+x}$: Implications for the angular dependence of the quasiparticle scattering rate in High-$T_c$ superconductors
• The normal state scattering rate in high-Tc cuprates
• Manifestation of the magnetic resonance mode in the nodal quasiparticle lifetime in superconducting cuprates
• Interlayer Aharonov-Bohm interference in tilted magnetic fields in quasi-one-dimensional layered conductors
• Measuring anisotropic scattering in the cuprates
• Novel results in STM, ARPES, HREELS, Nernst, neutron, Raman, and isotope substitution experiments and their relation to bosonic modes and charge inhomogeneity, from perspective of negative-Ueff boson-fermion modelling of HTSC

Cited by in corpus (99)

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• Incoherent transport across the strange metal regime of highly overdoped cuprates
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• Competing ferromagnetism in high temperature copper oxide superconductors
• Colloquium: Hydrodynamics and holography of charge density wave phases
• Quantum-Critical Fluctuations in 2D Metals: Strange Metals and Superconductivity in Antiferromagnets and in Cuprates
• Anisotropic quasiparticle scattering rates in slightly underdoped to optimally doped high-temperature \LSCO\ superconductors
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• Angle dependent magnetoresistance measurements in Tl${}_2$Ba${}_2$CuO${}_{6+\delta }$ and the need for anisotropic scattering
• Tracking anisotropic scattering in overdoped Tl${}_2$Ba${}_2$CuO${}_{6+\delta }$ above 100 K
• Fermiology of Cuprates from First Principles: From Small Pockets to the Luttinger Fermi surface
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• Sensitivity of the interlayer magnetoresistance of layered metals to intralayer anisotropies
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• Transport properties of the metallic state of overdoped cuprate superconductors from an anisotropic marginal Fermi liquid model
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• Universal Disorder in Bi2Sr2CaCu2O8+x
• Longitudinal interlayer magnetoresistance in quasi-2D metals
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• Separation of transport lifetimes in SrTiO3-based two-dimensional electron liquids
• Transport Anomalies of the Strange Metal: Resolution by Hidden Fermi Liquid Theory
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• Numerical Study of Charge Transport of Overdoped La${}_{2-x}$Sr${}_x$CuO${}_4$ within Semiclassical Boltzmann Transport Theory
• Cold-spots and glassy nematicity in underdoped cuprates
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• Effect of realistic out-of-plane dopant potentials on the superfluid density of overdoped cuprates
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• $B^2$ to $B$-linear magnetoresistance due to impeded orbital motion
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