Angle Dependence of the Transverse Thermal Conductivity in YBa${}_2$Cu${}_3$O${}_7$ single crystals: Doppler Effect vs. Andreev scattering

Abstract

We have measured the transverse thermal conductivity ${\kappa }_{xy}$ of twinned and untwinned YBa${}_2$Cu${}_3$O${}_7$ single crystals as a function of angle $\theta$ between the magnetic field applied parallel to the CuO${}_2$ planes and the heat current direction, at different magnetic fields and temperatures. For both crystals we observed a clear twofold variation in the field-angle dependence of ${\kappa }_{xy}(\theta )=-{\kappa }_{xy}^0(T,B)\sin (2\theta )$. We have found that the oscillation amplitude ${\kappa }_{xy}^0$ depends on temperature and magnetic field. Our results show that ${\kappa }_{xy}^0=aB\ln (1/(bB))$ with the temperature- and sample-dependent parameters $a$ and $b$. We discuss our results in terms of Andreev scattering of quasiparticles by vortices and a recently proposed theory based on the Doppler shift in the quasiparticle spectrum.

5 pages, 4 figures

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