Anomalous normal state resistivity in superconducting $L{a}_{2-x}C{e}_{x}Cu{O}_4$: Fermi liquid or strange metal?

Abstract

We present experimental results for the in-plane resistivity of the electron-doped cuprate superconductor $L{a}_{2-x}C{e}_{x}Cu{O}_4$ above its transition temperature $T_c$ as a function of Ce doping x and temperature. For the doping x between 0.11 and 0.17, where $T_c$ varies from 30 K (x=0.11) to 5 K (x=0.17), we find that the resistivity shows an approximate $T^2$ behavior for all values of doping over the measurement range from 100 K to 400 K. The coefficient of the $T^2$ resistivity term decreases with increasing x following the trend in $T_c$. We analyze our data theoretically and posit that n-type cuprates are better thought of as strange metals. Although the quadratic temperature dependence appears to be in naive agreement with the Fermi liquid (FL) expectations, the fact that the measured resistivity is large and no phonon-induced linear-in-T resistivity manifests itself even at 400 K argue against a standard normal metal Fermi liquid picture being applicable. We discuss possible origins of the strange metal behavior.

18 Pages, 5 figures (any comments are welcome)

References in corpus (8)

• Universal $T$-linear resistivity and Planckian limit in overdoped cuprates
• The ground state of heavily-overdoped non-superconducting La${}_{2-x}$Sr${}_x$CuO${}_4$
• Electronic hydrodynamics and the breakdown of the Wiedemann-Franz and Mott laws in interacting metals
• Fermi Surface reconstruction and anomalous low temperature resistivity in electron-doped La2-xCexCuO4
• Resistivity bound for hydrodynamic bad metals
• Hidden Fermi-liquid charge transport in the antiferromagnetic phase of the electron-doped cuprates
• Multiple bosonic mode coupling in the charge dynamics of the electron-doped superconductor (Pr${}_{2-x}$Ce${}_x$)CuO${}_4$
• Kinetic theory of electronic transport in random magnetic fields

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• Thermalization and Possible Signatures of Quantum Chaos in Complex Crystalline Materials
• A counterexample to the conjectured Planckian bound on transport
• Self-consistent theory of $2\times 2$ pair density waves in kagome superconductors
• Aspects of the Normal State Resistivity of Cuprate Superconductors
• BCS $d$-wave behavior in the THz electrodynamic response of electron-doped cuprate superconductors
• Phonon-limited resistivity of multilayer graphene systems
• Anomalous normal state magnetotransport in an electron-doped cuprate
• Superconductivity induced by structural reorganization in the electron-doped cuprate Nd${}_{2-x}$Ce${}_x$CuO${}_4$
• Oxide Fermi liquid universality revealed by electron spectroscopy
• The Strange Metal State of the high-Tc Cuprates
• Role of many phonon modes on the high-temperature linear-in-$T$ electronic resistivity
• Aspects of the normal state resistivity of cuprate superconductors Bi2201, Tl2201 and Hg1201