Extended strange metal regime from superconducting puddles

Abstract

We study a model of mesoscale superconducting puddles in a metal, represented as dynamical impurities interacting with a finite number of electronic channels via Andreev and normal scattering. We identify conditions under which the collection of puddles make a $T$-linear contribution to the resistivity and a $T\ln (1/T)$ to the specific heat and thermopower. This behavior emerges in an intermediate temperature range that extends from an upper energy scale set by the renormalized charging energy of the puddles, and down to an exponentially small scale associated with a charge-Kondo crossover, provided that the number of electronic channels interacting with the puddle is large. The phenomenology of our model resembles the apparent extended strange metal regime observed in overdoped cuprates which exhibits $T$-linear resistivity at low $T$ over a finite range of doping. We also propose to engineer a strange metal from suitably designed superconducting grains in a metallic matrix.

7+14 pages, 3+5 figures

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Cited by in corpus (5)

• Fractionalized Fermi liquids and the cuprate phase diagram
• Critical spin fluctuations across the superconducting dome in La${}_{2-x}$Sr${}_x$CuO${}_4$
• Can electronic quantum criticality drive phonon-induced linear-in-temperature resistivity?
• Emergence of Fermi-liquid and BCS physics in overdoped cuprates
• Phonon Induced Energy Relaxation in Quantum Critical Metals