• Corpus ID: 235313550

The BCS Energy Gap at High Density

@inproceedings{Henheik2021TheBE,
  title={The BCS Energy Gap at High Density},
  author={Joscha Henheik and Asbjorn Baekgaard Lauritsen},
  year={2021}
}
We study the BCS energy gap Ξ in the high–density limit and derive an asymptotic formula, which strongly depends on the strength of the interaction potential V on the Fermi surface. In combination with the recent result by one of us (arXiv:2106.02015) on the critical temperature Tc at high densities, we prove the universality of the ratio of the energy gap and the critical temperature. 
The BCS Critical Temperature at High Density
  • Joscha Henheik
  • Physics
    Mathematical physics, analysis, and geometry
  • 2022
We investigate the BCS critical temperature $$T_c$$ T c in the high-density limit and derive an asymptotic formula, which strongly depends on the behavior of the interaction potential V on the

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The BCS Critical Temperature at High Density
  • Joscha Henheik
  • Physics
    Mathematical physics, analysis, and geometry
  • 2022
We investigate the BCS critical temperature $$T_c$$ T c in the high-density limit and derive an asymptotic formula, which strongly depends on the behavior of the interaction potential V on the
The critical temperature for the BCS equation at weak coupling
For the BCS equation with local two-body interaction λV(x), we give a rigorous analysis of the asymptotic behavior of the critical temperature as γ»0. We derive necessary and sufficient conditions
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The Bardeen-Cooper-Schrieffer (BCS) functional has recently received renewed attention as a description of fermionic gases interacting with local pairwise interactions. We present here a rigorous
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It is demonstrated that any well-defined nonlocal potential leads to a "superconducting dome," i.e., a nonmonotonic T_{c}(n) exhibiting a maximum value at finite doping and going to zero for large n, which proves that, contrary to conventional wisdom, the presence of a superconducting Dome is not necessarily an indication of competing orders, nor of exotic superconductivity.
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We study the eigenvalues of Schrödinger type operators T + λV and their asymptotic behavior in the small coupling limit λ → 0, in the case where the symbol of the kinetic energy, T (p), strongly
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