负散射长度势的BCS临界温度
The BCS Critical Temperature for Potentials with Negative Scattering Length
摘要:
我们证明了在低密度极限$μ\to 0$下,BCS带隙方程的临界温度由$T_c = μ(8/πe^{γ-2} + o(1)) e^{π/(2\sqrt μa)}$给出。该公式适用于一个适当的类的相互作用势与负散射长度$a$在没有束缚态。
英文摘要:
We prove that the critical temperature for the BCS gap equation is given by $T_c = μ(8/πe^{γ-2} + o(1)) e^{π/(2\sqrt μa)}$ in the low density limit $μ\to 0$. The formula holds for a suitable class of interaction potentials with negative scattering length $a$ in the absence of bound states.
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