Scattering Due to Non-magnetic Disorder in 2D Anisotropic d-wave High T<sub>c</sub> Superconductors

Pedro Contreras; Dianela Osorio

doi:doi:10.11648/j.ep.20210501.11

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Scattering Due to Non-magnetic Disorder in 2D Anisotropic d-wave High T_c Superconductors

Pedro Contreras, Dianela Osorio

Published in Engineering Physics (Volume 5, Issue 1)

Received: 30 May 2021 Accepted: 11 June 2021 Published: 21 June 2021

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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 T_c in unconventional superconductors, we set out to investigate the behavior of the nonmagnetic disordered elastic scattering for a realistic 2D anisotropic high T_c 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 T_c 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.

Published in	Engineering Physics (Volume 5, Issue 1)
DOI	10.11648/j.ep.20210501.11
Page(s)	1-7
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2021. Published by Science Publishing Group

Keywords

Unconventional Anisotropic Superconductors, Lifetime, Non Magnetic Disorder, Unitary, Intermediate and Born Regimes

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APA Style

Pedro Contreras, Dianela Osorio. (2021). Scattering Due to Non-magnetic Disorder in 2D Anisotropic d-wave High Tc Superconductors. Engineering Physics, 5(1), 1-7. https://doi.org/10.11648/j.ep.20210501.11

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ACS Style

Pedro Contreras; Dianela Osorio. Scattering Due to Non-magnetic Disorder in 2D Anisotropic d-wave High Tc Superconductors. Eng. Phys. 2021, 5(1), 1-7. doi: 10.11648/j.ep.20210501.11

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AMA Style

Pedro Contreras, Dianela Osorio. Scattering Due to Non-magnetic Disorder in 2D Anisotropic d-wave High Tc Superconductors. Eng Phys. 2021;5(1):1-7. doi: 10.11648/j.ep.20210501.11

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@article{10.11648/j.ep.20210501.11,
  author = {Pedro Contreras and Dianela Osorio},
  title = {Scattering Due to Non-magnetic Disorder in 2D Anisotropic d-wave High Tc Superconductors},
  journal = {Engineering Physics},
  volume = {5},
  number = {1},
  pages = {1-7},
  doi = {10.11648/j.ep.20210501.11},
  url = {https://doi.org/10.11648/j.ep.20210501.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ep.20210501.11},
  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.},
 year = {2021}
}

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TY  - JOUR
T1  - Scattering Due to Non-magnetic Disorder in 2D Anisotropic d-wave High Tc Superconductors
AU  - Pedro Contreras
AU  - Dianela Osorio
Y1  - 2021/06/21
PY  - 2021
N1  - https://doi.org/10.11648/j.ep.20210501.11
DO  - 10.11648/j.ep.20210501.11
T2  - Engineering Physics
JF  - Engineering Physics
JO  - Engineering Physics
SP  - 1
EP  - 7
PB  - Science Publishing Group
SN  - 2640-1029
UR  - https://doi.org/10.11648/j.ep.20210501.11
AB  - 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.
VL  - 5
IS  - 1
ER  -

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Author Information

Pedro Contreras

Department of Physics, University of Los Andes, Mérida, Venezuela
Dianela Osorio

Department of Physics, University of Los Andes, Mérida, Venezuela

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Pedro Contreras, Dianela Osorio. (2021). Scattering Due to Non-magnetic Disorder in 2D Anisotropic d-wave High Tc Superconductors. Engineering Physics, 5(1), 1-7. https://doi.org/10.11648/j.ep.20210501.11

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ACS Style

Pedro Contreras; Dianela Osorio. Scattering Due to Non-magnetic Disorder in 2D Anisotropic d-wave High Tc Superconductors. Eng. Phys. 2021, 5(1), 1-7. doi: 10.11648/j.ep.20210501.11

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AMA Style

Pedro Contreras, Dianela Osorio. Scattering Due to Non-magnetic Disorder in 2D Anisotropic d-wave High Tc Superconductors. Eng Phys. 2021;5(1):1-7. doi: 10.11648/j.ep.20210501.11

Copy | Download

@article{10.11648/j.ep.20210501.11,
  author = {Pedro Contreras and Dianela Osorio},
  title = {Scattering Due to Non-magnetic Disorder in 2D Anisotropic d-wave High Tc Superconductors},
  journal = {Engineering Physics},
  volume = {5},
  number = {1},
  pages = {1-7},
  doi = {10.11648/j.ep.20210501.11},
  url = {https://doi.org/10.11648/j.ep.20210501.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ep.20210501.11},
  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.},
 year = {2021}
}

Copy | Download

TY  - JOUR
T1  - Scattering Due to Non-magnetic Disorder in 2D Anisotropic d-wave High Tc Superconductors
AU  - Pedro Contreras
AU  - Dianela Osorio
Y1  - 2021/06/21
PY  - 2021
N1  - https://doi.org/10.11648/j.ep.20210501.11
DO  - 10.11648/j.ep.20210501.11
T2  - Engineering Physics
JF  - Engineering Physics
JO  - Engineering Physics
SP  - 1
EP  - 7
PB  - Science Publishing Group
SN  - 2640-1029
UR  - https://doi.org/10.11648/j.ep.20210501.11
AB  - 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.
VL  - 5
IS  - 1
ER  -

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