Syzranov S V, Efetov K B, Altshuler B L
Theoretische Physik III, Ruhr-Universität Bochum, D-44801 Bochum, Germany.
Phys Rev Lett. 2009 Sep 18;103(12):127001. doi: 10.1103/PhysRevLett.103.127001. Epub 2009 Sep 15.
We consider microscopically low-temperature transport in weakly disordered arrays of Josephson junctions in the Coulomb blockade regime. We demonstrate that at sufficiently low temperatures the main contribution to the dc conductivity comes from the motion of single-Cooper-pair excitations, scattered by irregularities in the array. Being proportional to the concentration of the excitations, the conductivity is exponentially small in temperature with the activation energy close to the charging energy of a Cooper pair on a superconductive island. Applying a diagrammatic approach to treat the disorder potential we calculate the Drude-like conductivity and obtain weak localization corrections. At sufficiently low temperatures or strong disorder the Anderson localization of Cooper pairs ensues.
我们考虑了库仑阻塞 regime 中弱无序约瑟夫森结阵列的微观低温输运。我们证明，在足够低的温度下，直流电导率的主要贡献来自单库珀对激发的运动，这些激发被阵列中的不规则性散射。由于与激发浓度成正比，电导率在温度上呈指数级小，其激活能接近超导岛上库珀对的充电能量。应用图解法处理无序势，我们计算了类德鲁德电导率并得到弱局域修正。在足够低的温度或强无序情况下，库珀对会发生安德森局域化。
