Pseudodiffusive transmission of nodal Dirac fermions through a clean d-wave superconductor
Mesoscale and Nanoscale Physics
2010-01-02 v1
Abstract
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.
Keywords
Cite
@article{arxiv.0909.5317,
title = {Pseudodiffusive transmission of nodal Dirac fermions through a clean d-wave superconductor},
author = {J. K. Asboth and A. R. Akhmerov and A. C. Berceanu and C. W. J. Beenakker},
journal= {arXiv preprint arXiv:0909.5317},
year = {2010}
}