Abstract
Inspired by the studies on the influence of transition metal impurities in high Tc superconductors and what is already known about nonmagnetic suppression of Tc in unconventional superconductors, we set out to investigate the behavior of the nonmagnetic disordered elastic scattering for a realistic 2D anisotropic high Tc superconductor with line nodes and a Fermi surface in the tight-binding approximation. For this purpose, we performed a detailed self-consistent 2D numerical study of the disordered averaged scattering matrix with nonmagnetic impurities and a singlet line nodes order parameter, varying the concentration and the strength of the impurities potential in the Born, intermediate and unitary limits. In a high Tc anisotropic superconductor with a tight binding dispersion law averaging over the Fermi surface, including hopping parameters and an order parameter in agreement with experimental data, the tight-binding approximation reflects the anisotropic effects. In this study, we also included a detailed visualization of the behavior of the scattering matrix with different sets of physical parameters involved in the nonmagnetic disorder, which allowed us to model the dressed scattering behavior in different regimes for very low and high energies. With this study, we demonstrate that the scattering elastic matrix is affected by the non-magnetic disorder, as well as the importance of an order parameter and a Fermi surface in agreement with experiments when studying this effect in unconventional superconductors.
Highlights
The discovery of high temperature superconductivity led to a new era in solid state physics
The superconducting density of states (DOS) for line nodes High Tc cuprate superconductors (HTSCs) in the Born limit is approximated /B1/ ~,1Δ and in the unitary limit is approximated by /Q1/ ~ Γ$1Δ, this derivations shows the existence of normal states dressed quasiparticles at zero energy in the unitary limit
It corresponds to a minimum in the scattering lifetime of the dressed quasiparticles
Summary
The discovery of high temperature superconductivity led to a new era in solid state physics. To this work, the first experiments investigating the influence of transition metal impurities in HTSCs, showed that nonmagnetic disorder suppress superconductivity, more strongly than magnetic impurities disorder [16, 24, 37], on the contrary to BCS superconductors, where only magnetic impurities reduce the transition temperature (TC). It was suggested [40] that Momono and collaborators experiments showed that the La2-xSrxCuO4 compound was in the unitary scattering regime. For Fermi and Bose atomic gases at ultra-cold temperatures there is a study emphasizing the importance of the unitary limit and the scattering matrix analysis [20]
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