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Unconventional High-Temperature Superconductivity from Repulsive Interactions: Theoretical Constraints

A. S. Alexandrov and V. V. Kabanov
Phys. Rev. Lett. 106, 136403 – Published 31 March 2011
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  • ACKNOWLEDGEMENTS
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    Abstract

    Unconventional symmetries of the order parameter allowed some researchers to maintain that a purely repulsive interaction between electrons provides superconductivity without phonons in a number of high-temperature superconductors. It is shown that the Cooper pairing in p and d states is not possible with the realistic Coulomb repulsion between fermions at relevant temperatures in any dimension.

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    • Received 27 January 2011

    DOI:https://doi.org/10.1103/PhysRevLett.106.136403

    © 2011 American Physical Society

    Authors & Affiliations

    A. S. Alexandrov and V. V. Kabanov

    • Department of Physics, Loughborough University, Loughborough LE11 3TU, United Kingdom
    • Josef Stefan Institute, 1001 Ljubljana, Slovenia

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    Issue

    Vol. 106, Iss. 13 — 1 April 2011

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    • Figure 1
      Figure 1
      Angular momentum of the order parameter as the function of the dimensionless repulsion s=e2/πℏvF in the 3D Coulomb gas. The inset shows the first-order (a) and the second-order (b)–(e) contributions to the two-particle vertex.Reuse & Permissions
    • Figure 2
      Figure 2
      The absolute value of the coupling constant for the 2D Hubbard model with the nearest-neighbor hopping as the function of the chemical potential for four unconventional symmetries of the order parameter. The inset shows the angular dependence of the dx2−y2 state similar to that found in Ref. 8.Reuse & Permissions
    • Figure 3
      Figure 3
      U−μ phase diagram of 2D electrons on the square lattice showing no d- or p-wave symmetry of the ground state for weak repulsion U. There is a critical value of U at any doping below which the ground state is not superconducting (NSC).Reuse & Permissions
    • Figure 4
      Figure 4
      The absolute value of the coupling as the function of the chemical potential for two unconventional order parameters.Reuse & Permissions
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