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

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5 Citations (Scopus)

Abstract

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
Volume83
Issue number9
DOIs
Publication statusPublished - 2011

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Superconducting materials
Thermal conductivity
thermal conductivity
Magnetic fields
magnetic fields
heat
Vortex flow
Hot Temperature
vortices
formalism
Temperature
cells
approximation

Keywords

  • METIS-280337
  • IR-104542

Cite this

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title = "Thermal conductivity in the mixed state of a superconductor at low magnetic fields",
abstract = "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.",
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Thermal conductivity in the mixed state of a superconductor at low magnetic fields. / Golubov, Alexandre Avraamovitch; Koshelev, A.E.

In: Physical review B: Condensed matter and materials physics, Vol. 83, No. 9, 094521, 2011, p. -.

Research output: Contribution to journalArticleAcademicpeer-review

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T1 - Thermal conductivity in the mixed state of a superconductor at low magnetic fields

AU - Golubov, Alexandre Avraamovitch

AU - Koshelev, A.E.

PY - 2011

Y1 - 2011

N2 - 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.

AB - 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.

KW - METIS-280337

KW - IR-104542

U2 - 10.1103/PhysRevB.83.094521

DO - 10.1103/PhysRevB.83.094521

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JO - Physical review B: Condensed matter and materials physics

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