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Low-temperature phonon thermal conductivity of cuprate single crystal | | S. Y. Li
; J.-B. Bonnemaison
; A. Payeur
; P. Fournier
; C. H. Wang
; X. H. Chen
; Louis Taillefer
; | | Date: |
19 Sep 2007 | | 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 $T o
0$. | | Source: | arXiv, 0709.3075 | | Services: | Forum | Review | PDF | Favorites | |
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