Pseudodiffusive transmission of nodal Dirac fermions through a clean d-wave superconductor

Details Pseudodiffusive transmission of nodal Dirac fermions through a clean d-wave superconductor Pseudodiffusive transmission of nodal Dirac fermions through a clean d-wave superconductor

2009-09-29

arxiv.org/abs/0909.5317v1

Phys. Rev. B 80, 224517 (2009)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Scientific paper

10.1103/PhysRevB.80.224517

We calculate the transmission of electrons and holes between two normal-metal electrodes (N), separated over a distance L by an impurity-free superconductor (S) with d-wave symmetry of the order parameter. Nodal lines of vanishing excitation gap form ballistic conduction channels for coupled electron-hole excitations, described by an anisotropic two-dimensional Dirac equation. We find that the transmitted electrical and thermal currents, at zero energy, both have the pseudodiffusive 1/L scaling characteristic of massless Dirac fermions - regardless of the presence of tunnel barriers at the NS interfaces. Tunnel barriers reduce the slope of the 1/L scaling in the case of the electrical current, while leaving the thermal current unaffected.

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