The BCS energy gap at low density

نویسندگان

چکیده

We show that the energy gap for BCS equation is $ \Xi = \mu \left( 8 e^{-2} + o(1)\right) \exp\left( \frac{\pi}{2\sqrt{\mu} a}\right) in low density limit $\mu \to 0$. Together with similar result critical temperature [arXiv:0803.3324] this shows that, limit, ratio of and a universal constant independent interaction potential $V$. The results hold class potentials negative scattering length $a$ no bound states.

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ژورنال

عنوان ژورنال: Letters in Mathematical Physics

سال: 2021

ISSN: ['0377-9017', '1573-0530']

DOI: https://doi.org/10.1007/s11005-021-01358-5