Scattering Rate Gap in the IR Response of HgBa_2Ca_2Cu_3O_{8+delta}
J. J. McGuire (1), M. Windt (1), T. Startseva (1), T. Timusk (1), D., Colson (2), V. Viallet-Guillen (2) ((1) Department of Physics, Astronomy,, McMaster University, Hamilton, Canada, (2) Physique de l'Etat Condense,, DRECAM/SPEC, CEA, Saclay, France)
TL;DR
This study investigates the infrared optical response of HgBa_2Ca_2Cu_3O_{8+delta} crystals, revealing a large scattering rate gap that scales with the maximum critical temperature, suggesting a universal behavior among cuprates.
Contribution
It provides the first detailed analysis of the scattering rate gap in Hg-based cuprates and its relation to Tc, highlighting a potential universal scaling law.
Findings
Scattering rate gap of about 1000 cm^-1 in HgBa_2Ca_2Cu_3O_{8+delta}
Universal scaling between scattering rate gap and maximum Tc in cuprates
Larger scattering rate gap compared to other cuprates with similar Tc
Abstract
The ab-plane optical spectra of one underdoped and one nearly optimally doped single crystal of HgBa_2Ca_2Cu_3O_{8+delta} were investigated in the frequency range from 40 to 40,000 cm^-1. The frequency dependent scattering rate was obtained by Kramers Kronig analysis of the reflectance. Both crystals have a scattering rate gap of about 1000 cm^-1 which is much larger than the 700 cm^-1 gap seen in optical studies of several cuprates with maximum Tc around 93 K. There appears to be a universal scaling between scattering rate gap and maximum Tc for the cuprate superconductors.
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