Low-temperature phonon thermal conductivity of cuprate single crystals

Abstract

The effect of sample size and surface roughness on the phonon thermal conductivity ${\kappa }_p$ of Nd${}_2$CuO${}_4$ single crystals was studied down to 50 mK. At 0.5 K, ${\kappa }_p$ is proportional to $\sqrt{A}$, where $A$ is the cross-sectional area of the sample. This demonstrates that ${\kappa }_p$ is dominated by boundary scattering below 0.5 K or so. However, the expected $T^3$ dependence of ${\kappa }_p$ is not observed down to 50 mK. Upon roughing the surfaces, the $T^3$ dependence is restored, showing that departures from $T^3$ are due to specular reflection of phonons off the mirror-like sample surfaces. We propose an empirical power law fit, to ${\kappa }_p\sim T^{\alpha }$ (where $\alpha <3$) in cuprate single crystals. Using this method, we show that recent thermal conductivity studies of Zn doping in YBa${}_2$Cu${}_3$O${}_y$ re-affirm the universal heat conductivity of d-wave quasiparticles at $T\to 0$.

4 pages, 4 figures

References in corpus (3)

• Onset of a boson mode at superconducting critical point of underdoped YBa2Cu3Oy
• Bulk evidence for single-gap s-wave superconductivity in the intercalated graphite superconductor C${}_6$Yb
• Comment on "Onset of Boson Mode at the Superconducting Critical Point of Underdoped YBa2Cu3Oy"

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