Physics – Condensed Matter – Superconductivity
Scientific paper
2003-02-17
Phys. Rev. Lett. 91, 077003 (2003) [URL: http://link.aps.org/abstract/PRL/v91/e077003]
Physics
Condensed Matter
Superconductivity
4 pages, 3 figures Expanded discussion of boundary conditions for Ricatti amplitudes
Scientific paper
10.1103/PhysRevLett.91.077003
We present a theory for quasiparticle heat transport through superconducting weak links. The thermal conductance depends on the phase difference ($\phi$) of the superconducting leads. Branch conversion processes, low-energy Andreev bound states near the contact and the suppression of the local density of states near the gap edge are related to phase-sensitive transport processes. Theoretical results for the influence of junction transparency, temperature and disorder, on the phase modulation of the conductance are reported. For high-transmission weak links, $D\to 1$, the formation of an Andreev bound state at $\epsilon_{\text{\tiny b}}=\Delta\cos(\phi/2)$ leads to suppression of the density of states for the continuum excitations that transport heat, and thus, to a reduction in the conductance for $\phi\simeq\pi$. For low-transmission ($D\ll 1$) barriers resonant scattering at energies $\epsilon\simeq(1+D/2)\Delta$ leads to an increase in the thermal conductance as $T$ drops below $T_c$ (for phase differences near $\phi=\pi$).
Lofwander Tomas
Sauls J. A.
Zhao Erhai
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