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PHYSICAL REVIEW B 83, 094521 (2011) Thermal conductivity in the mixed state of a superconductor at low magnetic fields
 

Summary: PHYSICAL REVIEW B 83, 094521 (2011)
Thermal conductivity in the mixed state of a superconductor at low magnetic fields
A. A. Golubov1
and A. E. Koshelev2
1
Faculty of Science and Technology and MESA+ Institute of Nanotechnology, University of Twente, 7500 AE, Enschede, The Netherlands
2
Materials Science Division, Argonne National Laboratory, Argonne, Illinois 60439, USA
(Received 16 September 2010; published 15 March 2011)
We evaluate accurate low-field/low-temperature asymptotics of the thermal conductivity perpendicular to the
magnetic field for one-band and two-band s-wave superconductors using the Keldysh-Usadel formalism. We
show that heat transport in this regime is limited by tunneling of quasiparticles between adjacent vortices across
a number of local points and therefore a widely used approximation of averaging over the circular unit cell is not
valid. In the single-band case, we obtain a parameter-free analytical solution which provides a theoretical lower
limit for heat transport in the mixed state. In the two-band case, we show that the heat transport is controlled
by the ratio of gaps and diffusion constants in different bands. The presence of a weaker second band strongly
enhances the thermal conductivity at low fields.
DOI: 10.1103/PhysRevB.83.094521 PACS number(s): 74.25.fc, 74.25.Uv
I. INTRODUCTION
The thermal conductivity of a metal in the superconducting

  

Source: Alexei, Koshelev - Materials Science Division, Argonne National Laboratory

 

Collections: Materials Science; Physics