论文标题
伦敦渗透深度在零温度和接近超导过渡
London penetration depth at zero temperature and near superconducting transition
论文作者
论文摘要
在零-$ t $渗透深度$λ(0)$与$λ^{ - 2}(t)$接近$ t_c $之间建立了一个简单的关系,类似于Helfand-Werthamer的关系$ h_ {c2}(c2}}(0)(0)$,并与$ h_ {c2} $ s $ h_ {非磁性散射。 (dλ^{ - 2}/dt)_ {t_c} $从0.43更改为0.38。将这种关系与Rutgers热力学身份相结合,可以在斜率$(DH_ {C2}/DT)_ {T_C} $和状态密度方面表达$λ(0)$。
A simple relation is established between the zero-$T$ penetration depth $λ(0)$ and the slope of $λ^{-2}(T)$ near $T_c$, similar to Helfand-Werthamer's relation for $H_{c2}(0)$ and the slope of $H_{c2}(T)$ at $T_c$ for the isotropic s-wave case with non-magnetic scattering.\cite{HW} When the scattering parameter $ρ=\hbar v/2πT_c\ell$ ($v$ is the Fermi velocity and $\ell$ is the mean-free path) varies from 1 to 10, the coefficient of proportionality between $λ^{-2}(0)$ and $T_c (dλ^{-2}/dT)_{T_c}$ changes from 0.43 to 0.38. Combining this relation with the Rutgers thermodynamic identity, one can express $λ(0)$ in terms of the slope $(dH_{c2}/dT)_{T_c}$ and the density of states.