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

Published inNature communications, vol. 14, no. 1, 3033
Publication date2023-05-26
First online date2023-05-26
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 La 2− x Sr x CuO 4 with x = 0.24. We demonstrate ℏ ω / k B T scaling of the optical data over a wide range of frequency and temperature, T -linear resistivity, and optical effective mass proportional to $$\sim \ln T$$ ~ 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.

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Citation (ISO format)
MICHON, Bastien et al. Reconciling scaling of the optical conductivity of cuprate superconductors with Planckian resistivity and specific heat. In: Nature communications, 2023, vol. 14, n° 1, p. 3033. doi: 10.1038/s41467-023-38762-5
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ISSN of the journal2041-1723
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