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arXiv 0909.2826cond-mat.supr-con
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铁磷族元素化物超导体双轨道模型中的Andreev反射理论

Theory of Andreev reflection in a two-orbital model of iron-pnictide superconductors

M. A. N. Araujo, P. D. Sacramento

摘要:

最近发展的一个理论,正常金属(N)和多频带超导体(MBS)之间的Andreev反射问题假设,从正常金属的入射波是相干传输通过超导体内部的几个频带。这种将概率振幅分成几个通道的做法类似于量子波导。因此,适当的匹配条件的波函数在N/MBS界面的量子波导理论的扩展。在超导体内部,透射波之间的干涉效应在电导中表现出来。在最近提出的有效双带模型和最近提出的两种带隙对称性的框架下,我们给出了FeAs超导体的结果:($Δ\cos(k_x)\cos(k_y)$)情形下的共振透射,以及产生电导零点的相消干涉效应;在扩展s波($Δ[\cos(k_x)+\cos(k_y)]$)情况下,没有发现有限能量的ABS。

英文摘要:

A recently developed theory for the problem of Andreev reflection between a normal metal (N) and a multiband superconductor (MBS) assumes that the incident wave from the normal metal is coherently transmitted through several bands inside the superconductor. Such splitting of the probability amplitude into several channels is the analogue of a quantum waveguide. Thus, the appropriate matching conditions for the wave function at the N/MBS interface are derived from an extension of quantum waveguide theory. Interference effects between the transmitted waves inside the superconductor manifest themselves in the conductance. We provide results for a FeAs superconductor, in the framework of a recently proposed effective two-band model and two recently proposed gap symmetries: in the sign-reversed s-wave ($Δ\cos(k_x)\cos(k_y)$) scenario resonant transmission through surface Andreev bound states (ABS) at nonzero energy is found as well as destructive interference effects that produce zeros in the conductance; in the extended s-wave ($Δ[\cos(k_x)+\cos(k_y)]$) scenario no ABS at finite energy are found.

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