The BCS energy gap at low density
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We show that the energy gap for the BCS gap equation is Ξ=μ(8e-2+o(1))exp(π2μa)in the low density limit μ→ 0. Together with the similar result for the critical temperature by Hainzl and Seiringer (Lett Math Phys 84: 99–107, 2008), this shows that, in the low density limit, the ratio of the energy gap and critical temperature is a universal constant independent of the interaction potential V. The results hold for a class of potentials with negative scattering length a and no bound states.
Original language | English |
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Article number | 20 |
Journal | Letters in Mathematical Physics |
Volume | 111 |
Issue number | 1 |
Pages (from-to) | 1-16 |
ISSN | 0377-9017 |
DOIs | |
Publication status | Published - 2021 |
Bibliographical note
Publisher Copyright:
© 2021, The Author(s).
- BCS equation, Energy gap, Superfluidity
Research areas
ID: 302076294