The BCS energy gap at high density

article The BCS energy gap at high density published yes Sven Joscha Henheik author 31d731d7-d235-11ea-ad11-b50331c8d7fb0000-0003-1106-327X Asbjørn Bækgaard Lauritsen author e1a2682f-dc8d-11ea-abe3-81da9ac728f10000-0003-4476-2288 GradSch department LaEr department RoSe department Random matrices beyond Wigner-Dyson-Mehta project 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 (Math. Phys. Anal. Geom. 25, 3, 2022) on the critical temperature Tc at high densities, we prove the universality of the ratio of the energy gap and the critical temperature. https://research-explorer.ista.ac.at/download/11732/11746/2022_JourStatisticalPhysics_Henheik.pdf application/pdfno Springer Nature2022 eng Mathematical PhysicsStatistical and Nonlinear Physics Journal of Statistical Physics 0022-4715 1572-9613 00083300720000210.1007/s10955-022-02965-9 189 https://research-explorer.ista.ac.at/record/18135 https://research-explorer.ista.ac.at/record/19540 Henheik SJ, Lauritsen AB. The BCS energy gap at high density. Journal of Statistical Physics. 2022;189. doi:<a href="https://doi.org/10.1007/s10955-022-02965-9">10.1007/s10955-022-02965-9</a> Henheik, Sven Joscha, and Asbjørn Bækgaard Lauritsen. “The BCS Energy Gap at High Density.” Journal of Statistical Physics, vol. 189, 5, Springer Nature, 2022, doi:<a href="https://doi.org/10.1007/s10955-022-02965-9">10.1007/s10955-022-02965-9</a>. S. J. Henheik and A. B. Lauritsen, “The BCS energy gap at high density,” Journal of Statistical Physics, vol. 189. Springer Nature, 2022. Henheik, S. J., & Lauritsen, A. B. (2022). The BCS energy gap at high density. Journal of Statistical Physics. Springer Nature. <a href="https://doi.org/10.1007/s10955-022-02965-9">https://doi.org/10.1007/s10955-022-02965-9</a> S.J. Henheik, A.B. Lauritsen, Journal of Statistical Physics 189 (2022). Henheik SJ, Lauritsen AB. 2022. The BCS energy gap at high density. Journal of Statistical Physics. 189, 5. Henheik, Sven Joscha, and Asbjørn Bækgaard Lauritsen. “The BCS Energy Gap at High Density.” Journal of Statistical Physics. Springer Nature, 2022. <a href="https://doi.org/10.1007/s10955-022-02965-9">https://doi.org/10.1007/s10955-022-02965-9</a>. 117322022-08-05T11:36:56Z2026-07-29T13:18:16Z