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

Bastien Michon, Christophe Berthod, Carl Willem Rischau, Amirreza Ataei, Lu Chen, Seiki Komiya, Shimpei Ono, Louis Taillefer, Dirk Marel () and Antoine Georges ()
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Bastien Michon: University of Geneva
Christophe Berthod: University of Geneva
Carl Willem Rischau: University of Geneva
Amirreza Ataei: Université de Sherbrooke
Lu Chen: Université de Sherbrooke
Seiki Komiya: Central Research Institute of Electric Power Industry
Shimpei Ono: Central Research Institute of Electric Power Industry
Louis Taillefer: Université de Sherbrooke
Dirk Marel: University of Geneva
Antoine Georges: University of Geneva

Nature Communications, 2023, vol. 14, issue 1, 1-10

Abstract: Abstract Materials tuned to a quantum critical point display universal scaling properties as a function of temperature T and frequency ω. 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 ω-linear dependence of the optical scattering rate. Here, we present and analyze resistivity and optical conductivity of La2−xSrxCuO4 with x = 0.24. We demonstrate ℏω/kBT scaling of the optical data over a wide range of frequency and temperature, T-linear resistivity, and optical effective mass proportional to $$\sim \ln T$$ ~ ln T corroborating previous specific heat experiments. We show that a T, ω-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.

Date: 2023
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DOI: 10.1038/s41467-023-38762-5

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