Thermal conductivity in the mixed state of a superconductor at low magnetic fields

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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.
Original languageEnglish
Article number094521
Pages (from-to)-
Number of pages6
JournalPhysical review B: Condensed matter and materials physics
Issue number9
Publication statusPublished - 2011


  • METIS-280337
  • IR-104542


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