Tight-Binding Superconducting Phases in the Unconventional Compounds Strontium-Substituted Lanthanum Cuprate and Strontium Ruthenate

Pedro Contreras; Dianela Osorio; Eugeniy Yurievich Beliayev

doi:doi:10.11648/j.ajmp.20221102.13

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Tight-Binding Superconducting Phases in the Unconventional Compounds Strontium-Substituted Lanthanum Cuprate and Strontium Ruthenate

Pedro Contreras, Dianela Osorio, Eugeniy Yurievich Beliayev

Published in American Journal of Modern Physics (Volume 11, Issue 2)

Received: 30 March 2022 Accepted: 14 April 2022 Published: 20 April 2022

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Abstract

We use the idea of the Wigner probability distribution (WPD) in a reduced scattering phase space (RPS) for the elastic scattering cross-section, with the help of a Tight-Binding (TB) numerical procedure allowing us to consider the anisotropic quantum effects, to phenomenologically predict several phases in these two novel unconventional superconductors. Unlike our previous works with pieces of evidences that these two compounds are in the unitary strong scattering regime and that superconductivity is suppressed by the atoms of strontium in both materials, several phases are built. In the case of the strontium-substituted lanthanum cuprate, it was found three phases from one family of Wigner probabilistic distributions, one corresponding to the antiferromagnetic compound La₂CuO₄ another one which consists of a coalescing metallic phase for very lightly doped La_2-xSr_xCuO₄, and finally a strong self-consistent dependent strange metal phase with optimal levels of doping. In the case of a triplet superconductor strontium ruthenate, three phases can be differentiated from two families of Wigner distribution probabilities, one family of WDP with point nodes where Cooper pairs and dressed scattered normal quasiparticles are mixed for the whole range of frequencies and which correspond to a FS γ-flat-sheet in the ground metallic state, and two phases from another WPD family, where, in one of then, the Miyake-Narikiyo quasinodal tiny gap model allows the unique presence of Cooper pairs in a tiny interval of frequencies near the superconducting transition T_C, the other phase corresponds to the mixed phase with Cooper pairs and dressed by stoichiometric strontium non-magnetic atoms, where strong self-consistent effects are noticeable. This approach allows comparing experimental results for samples in both compounds with numerical analysis studies.

Published in	American Journal of Modern Physics (Volume 11, Issue 2)
DOI	10.11648/j.ajmp.20221102.13
Page(s)	32-38
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), 2024. Published by Science Publishing Group

Keywords

Strontium-Substituted Lanthanum Cuprate, Strontium Ruthenate, Unitary Limit, Tigh-Binding Non-magnetic Disorder, Elastic Scattering Cross-Section, Reduced Phase Space

References

[1]	E. P. Wigner. 1932, On the quantum correction for thermodynamic equilibrium. Phys. Rev. 40 (5): 749–759. doi: 10.1103/PhysRev.40.749. DOI: 10338.dmlcz/141466.
[2]	Carruthers, P. and Zachariasen, F. 1983, Quantum collision theory with phase-space distributions. Reviews of Modern Physics, 55 (1). pp. 245-285 DOI: https://doi.org/10.1103/RevModPhys.55.245
[3]	W. A. Harrison. 1980. Electronic Structure and Properties of Solids. Dover, New York.
[4]	E. Schachinger and J. P. Carbotte. 2003, Residual absorption at zero temperature in d-wave superconductors Phys. Rev. B, 67: 134509. DOI: https://doi.org/10.1103/PhysRevB.67.134509
[5]	N. Momono, M. Ido, T. Nakano, M. Oda, Y. Okajima, K. Yamaya, 1994, Physica C: Superconductivity, Vol. 233: 395-401.
[6]	T. Yoshida et al. Journal of the Physical Society of Japan, 81: 011006, 2012. DOI: 10.1143/JPSJ.81.011006.
[7]	D. Scalapino. 1995, The case for d_x2 ₋ _y2 pairing in the cuprate superconductors Physics Reports, 1995, 250 (6): 329-365, DOI: https://doi.org/10.1016/0370-1573(94)00086-I
[8]	T. Yoshida et al. 2012. Coexisting pseudo-gap and superconducting gap in the High-Tc superconductor La₂-xSrxCuO₄. Journal of the Physical Society of Japan, 81: 011006, DOI: 10.1143/JPSJ.81.011006.
[9]	P. Contreras and Dianela Osorio, 2021, Scattering Due to Non-magnetic Disorder in 2D Anisotropic d-wave High Tc Superconductors. Engineering Physics. Vol. 5, No 1. pp. 1-7. DOI: https/doi.org/10.11648/j.ep.20210501.11
[10]	Y. Maeno, H. Hashimoto, H., K. Yoshida, S. Nishizaki, S., T. Fujita, JG Bednorz, and F. Lichtenberg, 1994, Superconductivity in a layered perovskite without copper. Nature (London). 372: 532-534. DOI: https://doi.org/10.1038/372532a0
[11]	TM. Rice, and M. Sigrist, 1995, Sr₂RuO₄: an electronic analogue of ³He? Journal of Physics: Condensed Matter. 7 (47): L643-L648.
[12]	K. Miyake and O. Narikiyo. 1999. Model for Unconventional Superconductivity of Sr₂RuO₄, Effect of Impurity Scattering on Time-Reversal Breaking Triplet Pairing with a Tiny Gap. Phys. Rev. Lett. 83, 1423. DOI: https://doi.org/10.1103/PhysRevLett.83.1423
[13]	P. Contreras, Dianela Osorio and S. Ramazanov, 2022. Non-magnetic tight- binding effects on the γ-sheet of Sr₂RuO₂. Rev. Mex. Fis 68 (2) 1, DOI: https://doi.org/10.31349/RevMexFis.68.020502
[14]	P. Contreras, D. Osorio and Shunji Tsuchiya, 2022, Quasi-point versus point nodes in Sr₂RuO₄, the case of a flat tight binding γ-sheet. Accepted to be published in Rev. Mex. Fis. arXiv: 2112.11240v2 DOI: https://doi.org/10.48550/arXiv.2203.12887
[15]	M. Suzuki, MA Tanatar, N. Kikugawa, ZQ Mao, Y. Maeno, and T. Ishiguro, 2002, Universal heat transport in Sr₂RuO₄. Phys Rev. Lett. 88 (22): 227004. DOI: https://doi.org/10.1103/PhysRevLett.88.227004
[16]	MB. Walker and P. Contreras, 2002. Theory of elastic properties of Sr₂RuO₄ at the superconducting transition temperature. Physical Review B. 66 (21): 214508. DOI: https://doi.org/10.1103/PhysRevB.66.214508
[17]	C. Lupien, W. A. MacFarlane, C. Proust, L. Taillefer, Z. Q. Mao, and Y. Maeno, 2001, Ultrasound Attenuation in Sr₂RuO₄: An Angle-Resolved Study of the Superconducting Gap Function, Phys. Rev. Lett. 86: 5986 DOI: https:/doi.org/10.1103/PhysRevLett.86.5986
[18]	MB Walker, M. Smith, and K. Samokhin, 2001, Electron-phonon interaction and ultrasonic attenuation in the ruthenate and cuprate superconductors Phys. Rev. B, 65: 014517 DOI: https://doi.org/10.1103/PhysRevB.65.014517
[19]	P. Contreras, MB Walker and K. Samokhin. 2004. Determining the superconducting gap structure in Sr₂RuO₄ from sound attenuation studies below Tc Phys. Rev. B, 70: 184528. DOI: https://doi.org/10.1103/PhysRevB.70.184528
[20]	M. Tanatar, S. Nagai, Z. Q. Mao, Y. Maeno, and T. Ishiguro, 2001, Thermal conductivity of superconducting Sr₂RuO₄ in oriented magnetic fields. Phys. Rev. B 63: 064505 DOI: https://doi.org/10.1103/PhysRevB.63.064505
[21]	P. Contreras. 2011. Electronic heat transport for a multiband superconducting gap in Sr₂RuO₄ Rev. Mex. Fis. 57 (5) pp. 395-399. arXiv: 1812.06449v1 DOI: https://doi.org/10.48550/arXiv.1812.06449
[22]	S. Nishizaki, Y. Maeno, and Z. Mao, 1999, Effect of Impurities on the Specific Heat of the Spin-Triplet Superconductor Sr₂RuO₄. Journal of Low Temperature Physics 117, 1581–1585. DOI: https://doi.org/10.1023/A:1022551313401
[23]	P. Contreras, J. Burgos, E. Ochoa, D. Uzcategui, and R. Almeida, 2014, A numerical calculation of the electronic specific heat for the compound Sr₂RuO₄ below its superconducting transition temperature. Rev. Mex. Fis. 60 (3). Pp 184-189. arXiv: 1812.06493v1 DOI: https://doi.org/10.48550/arXiv.1812.06493
[24]	Dalakova, N. V., Beliayev, E. Y., Savina, Y. A. et al. 2018, Effect of Composition Disorder in a System of Superconducting Granules on the Superconducting Properties of La₂–xSrxCuO₄ Ceramic Samples. Bull. Russ. Acad. Sci. Phys. 82, 811–814 DOI: https://doi.org/10.3103/S106287381807016X
[25]	Dalakova, N. V., B. I. Belevtsev, N. P. Bobrysheva, A. S. Panfilov, E. Yu. Beliayev, and A. A. Selyutin. 2012. Resistive Properties of La₂–xSrxCuO₄ low-dopped Cuprates in the Antiferromagnetic State at Low Temperatures. Bulletin of the Russian Academy of Sciences, 7610 (10): 1139–11442. DOI: https://doi.org/10.3103/S1062873812100036
[26]	N. V. Dalakova, B. I. Belevtsev, E. Yu. Beliayev, Yu. A. Kolesnichenko, A. S. Panfilov, and I. S. Braude Effect of Magnetic (Phase) Inhomogeneities on the Conductivity of an Antiferromagnetic La₂CuO₄+d Single Crystal at Low Temperatures Bulletin of the Russian Academy of Sciences: Physics, 2008, Vol. 72, No. 8, pp. 1149–1152. DOI: 10.3103/S1062873808080376
[27]	N. V. Dalakova, B. I. Belevtsev, E. Y. Belyaev, A. S. Panfilov, N. P. Bobrysheva, and A. A. Selyutin, “Low-temperature nonlinear effects in the conductivity of lightly doped cuprates La₂-xSrxCuO₄ in antiferromagnetic state,” Low Temp. Phys., vol. 40, no. 5, pp. 397–407, May 2014, DOI: 10.1063/1.4881175.
[28]	Yu. Beliayev, D. Osorio and P. Contreras, 2022, Evidence for coalescence in lightly doped strontium-substituted lanthanum cuprate samples. Submitted. arXiv: 2203.12887v1 DOI: https://doi.org/10.48550/arXiv.2203.12887
[29]	P. Contreras and J. Moreno, CJPAS, Vol. 13, No. 2, pp. 4765, 2019 DOI: https://doi.org/10.48550/arXiv.1812.08165
[30]	S. Nishizaki, Y. Maeno, S. Farner, S. Ikeda, and T. Fujita, 1998, Evidence for Unconventional Superconductivity of Sr₂RuO₄ from Specific-Heat Measurements. Journal of the Physical Society of Japan, 67, 560-563 DOI: https://doi.org/10.1143/JPSJ.67.560
[31]	M. B. Walker. 2001. Fermi-liquid theory for anisotropic superconductors. Phys. Rev. B. 64 (13) 134515, DOI: https://link.aps.org/doi/10.1103/PhysRevB.64.134515
[32]	A. J. Leggett, and Y. Liu, 2021, Symmetry Properties of Superconducting Order Parameter in Sr₂RuO₄. J Supercond Nov Magn. 34, 1647–1673 DOI: https://doi.org/10.1007/s10948-020-05717-6
[33]	J. M. Ziman. 1979. Models of Disorder: The Theoretical Physics of Homogeneously Disordered Systems 1st Edition, Cambridge.
[34]	V. Mineev and K. Samokhin. Introduction to Introduction to Unconventional Superconductivity, 1999, Gordon and Breach Science Publishing.
[35]	I. M. Lifshitz, S. A. Gredeskul and L. A. Pastur. 1988. Introduction to the theory of disordered systems. John Wiley and Sons.
[36]	L. D. Landau and L. M. Lifshitz, 1981, Quantum Mechanics: Non Relativistic Theory, Butterworth-Heinemann.
[37]	M. I. Kaganov and I. M. Lifshitz. 1989. Quasiparticles: Ideas and Principles of Quantum Solid State Physics. 2nd edition. Moscow "Nauka".
[38]	S. Schmitt-Rink, K. Miyake and C. Varma. 1986. Transport and thermal properties of heavy-fermion superconductors: A unified picture. Phys. Rev. Lett., 57: 2575, 198. DOI: https://doi.org/10.1103/PhysRevLett.57.2575
[39]	P. Contreras, D. Osorio and E. Yu. Beliayev, 2022, Dressed behavior of the quasiparticles lifetime in the unitary limit of two unconventional superconductors, Fizika Nizkikh Temperatur. Volume 48 (3), pp. 211-217. DOI: https://doi.org/10.1063/10.0009535
[40]	D. Osheroff, W. Gully, R. Richardson, and D. Lee. 1972. New Magnetic Phenomena in Liquid ³He below 3 mK. Phys. Rev. Lett. 29 (14) (1972) 920 DOI: https://link.aps.org/doi/10.1103/PhysRevLett.29.920
[41]	A. Leggett, 1975. A Theoretical description of the new phases of liquid ³He. Rev. Mod. Phys. 47, 331–414. DOI: https://doi.org/10.1103/RevModPhys.47.331
[42]	V. Ambegaokar and N. D. Mermin. 1973, Thermal Anomalies of ³He: from Specific-Heat Measurements. Journal of the Pairing in a Magnetic Field. Phys. Rev. Lett. 30 (3) 81-84, DOI: https://link.aps.org/doi/10.1103/PhysRevLett.30.81
[43]	S. Benhabib, C. Lupien, I. Paul et al., Ultrasound evidence for a two-component superconducting order parameter in Sr₂RuO₄, Nat. Phys. 17 (2021) 194, https://doi.org/10.1038/s41567-020-1033-3
[44]	Grinenko, V., Das, D., Gupta, R. et al. Unsplit superconducting and time reversal symmetry breaking transitions in Sr₂RuO₄ under hydrostatic pressure and disorder. Nat Commun 12, 3920 (2021). https://doi.org/10.1038/s41467-021-24176-8
[45]	P. Contreras, J. Florez and R. Almeida, Symmetry Field Breaking Effects in Sr₂RuO₄, Rev. Mex. Fis. 62 (2016) 442-449. DOI: https://doi.org/10.48550/arXiv.1812.06494
[46]	J. Shaginyan and M. Amusia. 2020. Strongly Correlated Fermi Systems: A New State of Matter, Springer Tracts in Modern Physics, 283.

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Pedro Contreras, Dianela Osorio, Eugeniy Yurievich Beliayev. (2022). Tight-Binding Superconducting Phases in the Unconventional Compounds Strontium-Substituted Lanthanum Cuprate and Strontium Ruthenate. American Journal of Modern Physics, 11(2), 32-38. https://doi.org/10.11648/j.ajmp.20221102.13

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ACS Style

Pedro Contreras; Dianela Osorio; Eugeniy Yurievich Beliayev. Tight-Binding Superconducting Phases in the Unconventional Compounds Strontium-Substituted Lanthanum Cuprate and Strontium Ruthenate. Am. J. Mod. Phys. 2022, 11(2), 32-38. doi: 10.11648/j.ajmp.20221102.13

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AMA Style

Pedro Contreras, Dianela Osorio, Eugeniy Yurievich Beliayev. Tight-Binding Superconducting Phases in the Unconventional Compounds Strontium-Substituted Lanthanum Cuprate and Strontium Ruthenate. Am J Mod Phys. 2022;11(2):32-38. doi: 10.11648/j.ajmp.20221102.13

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@article{10.11648/j.ajmp.20221102.13,
  author = {Pedro Contreras and Dianela Osorio and Eugeniy Yurievich Beliayev},
  title = {Tight-Binding Superconducting Phases in the Unconventional Compounds Strontium-Substituted Lanthanum Cuprate and Strontium Ruthenate},
  journal = {American Journal of Modern Physics},
  volume = {11},
  number = {2},
  pages = {32-38},
  doi = {10.11648/j.ajmp.20221102.13},
  url = {https://doi.org/10.11648/j.ajmp.20221102.13},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajmp.20221102.13},
  abstract = {We use the idea of the Wigner probability distribution (WPD) in a reduced scattering phase space (RPS) for the elastic scattering cross-section, with the help of a Tight-Binding (TB) numerical procedure allowing us to consider the anisotropic quantum effects, to phenomenologically predict several phases in these two novel unconventional superconductors. Unlike our previous works with pieces of evidences that these two compounds are in the unitary strong scattering regime and that superconductivity is suppressed by the atoms of strontium in both materials, several phases are built. In the case of the strontium-substituted lanthanum cuprate, it was found three phases from one family of Wigner probabilistic distributions, one corresponding to the antiferromagnetic compound La2CuO4 another one which consists of a coalescing metallic phase for very lightly doped La2-xSrxCuO4, and finally a strong self-consistent dependent strange metal phase with optimal levels of doping. In the case of a triplet superconductor strontium ruthenate, three phases can be differentiated from two families of Wigner distribution probabilities, one family of WDP with point nodes where Cooper pairs and dressed scattered normal quasiparticles are mixed for the whole range of frequencies and which correspond to a FS γ-flat-sheet in the ground metallic state, and two phases from another WPD family, where, in one of then, the Miyake-Narikiyo quasinodal tiny gap model allows the unique presence of Cooper pairs in a tiny interval of frequencies near the superconducting transition TC, the other phase corresponds to the mixed phase with Cooper pairs and dressed by stoichiometric strontium non-magnetic atoms, where strong self-consistent effects are noticeable. This approach allows comparing experimental results for samples in both compounds with numerical analysis studies.},
 year = {2022}
}

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TY  - JOUR
T1  - Tight-Binding Superconducting Phases in the Unconventional Compounds Strontium-Substituted Lanthanum Cuprate and Strontium Ruthenate
AU  - Pedro Contreras
AU  - Dianela Osorio
AU  - Eugeniy Yurievich Beliayev
Y1  - 2022/04/20
PY  - 2022
N1  - https://doi.org/10.11648/j.ajmp.20221102.13
DO  - 10.11648/j.ajmp.20221102.13
T2  - American Journal of Modern Physics
JF  - American Journal of Modern Physics
JO  - American Journal of Modern Physics
SP  - 32
EP  - 38
PB  - Science Publishing Group
SN  - 2326-8891
UR  - https://doi.org/10.11648/j.ajmp.20221102.13
AB  - We use the idea of the Wigner probability distribution (WPD) in a reduced scattering phase space (RPS) for the elastic scattering cross-section, with the help of a Tight-Binding (TB) numerical procedure allowing us to consider the anisotropic quantum effects, to phenomenologically predict several phases in these two novel unconventional superconductors. Unlike our previous works with pieces of evidences that these two compounds are in the unitary strong scattering regime and that superconductivity is suppressed by the atoms of strontium in both materials, several phases are built. In the case of the strontium-substituted lanthanum cuprate, it was found three phases from one family of Wigner probabilistic distributions, one corresponding to the antiferromagnetic compound La2CuO4 another one which consists of a coalescing metallic phase for very lightly doped La2-xSrxCuO4, and finally a strong self-consistent dependent strange metal phase with optimal levels of doping. In the case of a triplet superconductor strontium ruthenate, three phases can be differentiated from two families of Wigner distribution probabilities, one family of WDP with point nodes where Cooper pairs and dressed scattered normal quasiparticles are mixed for the whole range of frequencies and which correspond to a FS γ-flat-sheet in the ground metallic state, and two phases from another WPD family, where, in one of then, the Miyake-Narikiyo quasinodal tiny gap model allows the unique presence of Cooper pairs in a tiny interval of frequencies near the superconducting transition TC, the other phase corresponds to the mixed phase with Cooper pairs and dressed by stoichiometric strontium non-magnetic atoms, where strong self-consistent effects are noticeable. This approach allows comparing experimental results for samples in both compounds with numerical analysis studies.
VL  - 11
IS  - 2
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
Eugeniy Yurievich Beliayev

Verkin Institute for Low Temperature Physics and Engineering, National Academy of Sciences of Ukraine, Kharkiv, Ukraine

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Pedro Contreras, Dianela Osorio, Eugeniy Yurievich Beliayev. (2022). Tight-Binding Superconducting Phases in the Unconventional Compounds Strontium-Substituted Lanthanum Cuprate and Strontium Ruthenate. American Journal of Modern Physics, 11(2), 32-38. https://doi.org/10.11648/j.ajmp.20221102.13

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Pedro Contreras; Dianela Osorio; Eugeniy Yurievich Beliayev. Tight-Binding Superconducting Phases in the Unconventional Compounds Strontium-Substituted Lanthanum Cuprate and Strontium Ruthenate. Am. J. Mod. Phys. 2022, 11(2), 32-38. doi: 10.11648/j.ajmp.20221102.13

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AMA Style

Pedro Contreras, Dianela Osorio, Eugeniy Yurievich Beliayev. Tight-Binding Superconducting Phases in the Unconventional Compounds Strontium-Substituted Lanthanum Cuprate and Strontium Ruthenate. Am J Mod Phys. 2022;11(2):32-38. doi: 10.11648/j.ajmp.20221102.13

Copy | Download

@article{10.11648/j.ajmp.20221102.13,
  author = {Pedro Contreras and Dianela Osorio and Eugeniy Yurievich Beliayev},
  title = {Tight-Binding Superconducting Phases in the Unconventional Compounds Strontium-Substituted Lanthanum Cuprate and Strontium Ruthenate},
  journal = {American Journal of Modern Physics},
  volume = {11},
  number = {2},
  pages = {32-38},
  doi = {10.11648/j.ajmp.20221102.13},
  url = {https://doi.org/10.11648/j.ajmp.20221102.13},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajmp.20221102.13},
  abstract = {We use the idea of the Wigner probability distribution (WPD) in a reduced scattering phase space (RPS) for the elastic scattering cross-section, with the help of a Tight-Binding (TB) numerical procedure allowing us to consider the anisotropic quantum effects, to phenomenologically predict several phases in these two novel unconventional superconductors. Unlike our previous works with pieces of evidences that these two compounds are in the unitary strong scattering regime and that superconductivity is suppressed by the atoms of strontium in both materials, several phases are built. In the case of the strontium-substituted lanthanum cuprate, it was found three phases from one family of Wigner probabilistic distributions, one corresponding to the antiferromagnetic compound La2CuO4 another one which consists of a coalescing metallic phase for very lightly doped La2-xSrxCuO4, and finally a strong self-consistent dependent strange metal phase with optimal levels of doping. In the case of a triplet superconductor strontium ruthenate, three phases can be differentiated from two families of Wigner distribution probabilities, one family of WDP with point nodes where Cooper pairs and dressed scattered normal quasiparticles are mixed for the whole range of frequencies and which correspond to a FS γ-flat-sheet in the ground metallic state, and two phases from another WPD family, where, in one of then, the Miyake-Narikiyo quasinodal tiny gap model allows the unique presence of Cooper pairs in a tiny interval of frequencies near the superconducting transition TC, the other phase corresponds to the mixed phase with Cooper pairs and dressed by stoichiometric strontium non-magnetic atoms, where strong self-consistent effects are noticeable. This approach allows comparing experimental results for samples in both compounds with numerical analysis studies.},
 year = {2022}
}

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TY  - JOUR
T1  - Tight-Binding Superconducting Phases in the Unconventional Compounds Strontium-Substituted Lanthanum Cuprate and Strontium Ruthenate
AU  - Pedro Contreras
AU  - Dianela Osorio
AU  - Eugeniy Yurievich Beliayev
Y1  - 2022/04/20
PY  - 2022
N1  - https://doi.org/10.11648/j.ajmp.20221102.13
DO  - 10.11648/j.ajmp.20221102.13
T2  - American Journal of Modern Physics
JF  - American Journal of Modern Physics
JO  - American Journal of Modern Physics
SP  - 32
EP  - 38
PB  - Science Publishing Group
SN  - 2326-8891
UR  - https://doi.org/10.11648/j.ajmp.20221102.13
AB  - We use the idea of the Wigner probability distribution (WPD) in a reduced scattering phase space (RPS) for the elastic scattering cross-section, with the help of a Tight-Binding (TB) numerical procedure allowing us to consider the anisotropic quantum effects, to phenomenologically predict several phases in these two novel unconventional superconductors. Unlike our previous works with pieces of evidences that these two compounds are in the unitary strong scattering regime and that superconductivity is suppressed by the atoms of strontium in both materials, several phases are built. In the case of the strontium-substituted lanthanum cuprate, it was found three phases from one family of Wigner probabilistic distributions, one corresponding to the antiferromagnetic compound La2CuO4 another one which consists of a coalescing metallic phase for very lightly doped La2-xSrxCuO4, and finally a strong self-consistent dependent strange metal phase with optimal levels of doping. In the case of a triplet superconductor strontium ruthenate, three phases can be differentiated from two families of Wigner distribution probabilities, one family of WDP with point nodes where Cooper pairs and dressed scattered normal quasiparticles are mixed for the whole range of frequencies and which correspond to a FS γ-flat-sheet in the ground metallic state, and two phases from another WPD family, where, in one of then, the Miyake-Narikiyo quasinodal tiny gap model allows the unique presence of Cooper pairs in a tiny interval of frequencies near the superconducting transition TC, the other phase corresponds to the mixed phase with Cooper pairs and dressed by stoichiometric strontium non-magnetic atoms, where strong self-consistent effects are noticeable. This approach allows comparing experimental results for samples in both compounds with numerical analysis studies.
VL  - 11
IS  - 2
ER  -

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