Effects of disorder on the transmission of nodal fermions through ad-wave superconductor

Abstract

The bulk microwave conductivity of a dirty d -wave superconductor is known to depend sensitively on the range of the disorder potential: long-range scattering enhances the conductivity, while shortrange scattering has no effect. Here we show that the three-terminal electrical conductance of a normal-metal-d -wave superconductor-normal-metal junction has a dual behavior: short-range scattering suppresses the conductance, while long-range scattering has no effect.

Two-dimensional Dirac fermions in the presence of long-range correlated disorder

“…2,3 More recently, 2D Dirac fermions have also emerged as the effective low energy degree of freedom in the surface states of 3D topological insulators, [4][5][6] such as the materials in the Bi 2 Se 3 family 7 and strained HgTe. 8 Dirac excitations have been also found in unconventional superconductor with d-wave symmetry [9][10][11][12] , in the quasi-2D organic conductor α-(BEDT-TTF) 2 I 3 under pressure, [13][14][15][16][17][18] and even in photonic crystals. 19 The peculiar features of Dirac fermions lead to unfamiliar transport properties in all these materials.…”