A Model for dx2−y2 Superconductivity in the Strongly Correlated Fermionic System

  • I. Bariakhtar Institute of Magnetism, Nat. Acad. of Sci. of Ukraine, Boston College, Department of Physics
  • A. Nazarenko Institute of Magnetism, Nat. Acad. of Sci. of Ukraine, Harvard University, IAM-HUIT
Keywords: superconductivity, strongly correlated fermionic system, t − J model, mean-field approximation

Abstract

Based on the known phenomenology of high-Tc cuprates and the available numerical calculations of the t − J model, a two-dimensional effective fermionic model with the nearest neighbor attraction is proposed. Numerical calculations suggest that the model has the dx2−y2 superconductivity (SC) in the ground state at a low fermionic density. We argue that this model captures the important physics of the dx2−y2 superconducting correlations found earlier in the t − J model by the exact diagonalization approach. Within a self-consistent RPA diagrammatic study, the density and the coupling strength dependence of the critical temperature is calculated. We also investigate the influence of the impurities on our results and show that the suppression of the superconductivity is insignificant, when the retardation effects are accounted for as opposed to the Hartree–Fock approximation.

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Published
2018-10-23
How to Cite
Bariakhtar, I., & Nazarenko, A. (2018). A Model for dx2−y2 Superconductivity in the Strongly Correlated Fermionic System. Ukrainian Journal of Physics, 59(5), 487. https://doi.org/10.15407/ujpe59.05.0487
Section
Solid matter