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

J. K. Asbóth, A. R. Akhmerov, A. C. Berceanu, C. W. J. Beenakker

DOI 10.1103/PhysRevB.80.224517 · Physical Review B

T1

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Abstract

We calculate the transmission of electrons and holes between two normal-metal (N) electrodes, 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 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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FormulaReported Tc (K)Pressure (GPa)Type
YBa2Cu3O7-ϵ

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—Pressure not reportedunknown

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