Shot noise in HTc superconductor quantum point contact system

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We study the electrical transport properties of a quantum point contact between a lead and a Hight Tc superconductor. For this, we use the Hamiltonian approach and non-equilibrium Green functions of the system. The electrical current and the shot noise are calculated with this formalism. We consider dₓ₂₋y₂, dxy, dₓ₂₋y₂+is and dxy+is symmetries for the pair potential. Also we explore the s₊₋ and s₊₊ symmetries describing the behavior of the ferropnictides superconductors. We found that for dxy symmetry there is not a zero bias conductance peak and for d+is symmetries there is a displacement of the transport properties. From shot noise and current, the Fano factor is calculated and we found that it takes values of effective charge between e and 2e, this is explained by the diffraction of quasiparticles in the contact. For the s₊₋ and s₊₊ symmetries the results show that the electrical current and the shot noise depend on the mixing coefficient, furthermore the effective electric charge can take values between 0 and 2e, in contrast with the results obtained for s wave superconductors.