Surfaces and Vortex Cores
We discuss topics concerning inhomogeneous superconducting states of s-wave pairing that are realized near boundaries and vortex cores. First, we consider a normal-superconducting interface to show that an electron approaching the interface from the normal side experiences a peculiar reflection called Andreev reflection, which backscatters a hole; the energy flow is substantially blocked through the interface because of this reflection. Next, we study quasiparticles around a vortex core to find that there exist localized quasiparticle states called Caroli–de Gennes–Matricon mode below the bulk energy gap; they recover a T-linear term in the specific heat and are also responsible for the electric resistivity when vortices are forced to move. Finally, we use the quasiclassical Eilenberger equations to study in detail an isolated s-wave vortex and its local density of states, Figs. 16.3–16.5.
KeywordsVortex Core Pair Potential Normal Side Andreev Reflection Quasiclassical Approximation
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