Coherent quantum phenomena in mesoscopic metallic conductors (Review Article)

Gogadze, G. A.

doi:10.1063/1.3517056

Cited by 1 publication

(1 citation statement)

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“…3,4 The (higher-dimensional) zero-energy state was originally invoked as an explanation of reentrant paramagnetism observed by Visani et al in normalmetal coated superconducting cylinders; 5 however, alternative explanations of this effect within the singleparticle picture have also been suggested (see Ref. 6 for a review). To the best of our knowledge, there has yet to be a direct experimental observation of the zero-energy peak at a superconductor-normal metal interface; this peak is distinct from the well-known phenomenon of reflectionless tunneling, which produces a zero-bias peak in the conductance [7][8][9] but not in the density of states.…”

Section: Introductionmentioning

confidence: 99%

Zero-energy bound state at the interface between ans-wave superconductor and a disordered normal metal with repulsive electron-electron interactions

Reeg

Maslov

2014

Phys. Rev. B

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In recent years, there has been a renewed interest in the proximity effect due to its role in the realization of topological superconductivity. Here, we study a superconductor-normal metal proximity system with repulsive electron-electron interactions in the normal layer. It is known that in the absence of disorder or normal reflection at the superconductor-normal metal interface, a zero-energy bound state forms and is localized to the interface [Fauchère et al., Phys. Rev. Lett. 82, 3336 (1999)]. Using the quasiclassical theory of superconductivity, we investigate the low-energy behavior of the density of states in the presence of finite disorder and an interfacial barrier. We find that as the mean free path is decreased, the zero-energy peak in the density of states is broadened and reduced. In the quasiballistic limit, the bound state eliminates the minigap pertinent to a noninteracting normal layer and a distinct peak is observed. When the mean free path becomes comparable to the normal layer width, the zero-energy peak is strongly suppressed and the minigap begins to develop. In the diffusive limit, the minigap is fully restored and all signatures of the bound state are eliminated. We find that an interfacial potential barrier does not change the functional form of the density of states peak but does shift this peak away from zero energy.

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