Fine structure of the local pseudogap and Fano effect for superconducting electrons near a zigzag graphene edge

Tkachov, G.

doi:10.1103/physrevb.76.235409

Cited by 20 publications

(24 citation statements)

References 52 publications

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“…7, where the LDOS profile at ω = 2∆ is plotted on a larger scale. A similar effect has been shown to occur in the case of nanoribbons with zigzag edges [19].…”

Section: Proximity Effect On a Semi-infinite Graphene Layersupporting

confidence: 63%

Microscopic theory of the proximity effect in superconductor-graphene nanostructures

2008

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We present a theoretical analysis of the proximity effect at a graphene-superconductor interface. We use a tight-binding model for the electronic states in this system which allows to describe the interface at the microscopic level. Two different interface models are proposed: one in which the superconductor induces a finite pairing in the graphene regions underneath, thus maintaining the honeycomb structure at the interface and one that assumes that the graphene layer is directly coupled to a bulk superconducting electrode. We show that properties like the Andreev reflection probability and its channel decomposition depend critically on the model used to describe the interface. We also study the proximity effect on the local density of states on the graphene. For finite layers we analyze the induced minigap and how it is reduced when the length of the layer increases. Results for the local density of states profiles for finite and semi-infinite layers are presented.

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“…7, where the LDOS profile at ω = 2∆ is plotted on a larger scale. A similar effect has been shown to occur in the case of nanoribbons with zigzag edges [19].…”

Section: Proximity Effect On a Semi-infinite Graphene Layersupporting

confidence: 63%

Microscopic theory of the proximity effect in superconductor-graphene nanostructures

2008

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“…The effect on the local density of states (LDOS) has been studied in Refs. [6,7]. The properties of bound states arising from multiple Andreev reflections in S-graphene-S junctions have been analyzed in Refs.…”

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confidence: 99%

Proximity-induced interface bound states in superconductor-graphene junctions

2009

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We show that interface bound states are formed at isolated graphene-superconductor junctions. These states arise due to the interplay of virtual Andreev and normal reflections taking place at these interfaces. Simple analytical expressions for their dispersion are obtained considering interfaces formed along armchair or zig-zag edges. It is shown that the states are sensitive to a supercurrent flowing on the superconducting electrode. The states provide long range superconducting correlations on the graphene layer which may be exploited for the detection of crossed Andreev processes.

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“…Although graphene is not intrinsically superconducting, the superconducting electrode can induce a pairing amplitude by proximity effect. [28][29][30] We choose the width of the central region to be comparable to the superconducting coherence length W S = ξ =hv F / . For a typical superconductor like Pb or Al, ∼ 1 meV and thus ξ ∼ 0.5 − 1 μm.…”

Section: Independent Focusing Of Electrons and Holesmentioning

confidence: 99%

“…The intensity of these peaks decays exponentially with the distance to the superconductor, consistent with the behavior of the proximity effect in a graphene-superconductor interface. [28][29][30] While the previous analysis explains the separate focusing of electrons and holes, it would be desirable that the background EC conductance at the CAR peak could be further reduced. This can be achieved by increasing the injection distance d. Indeed, the injection point (−d,0) determines the origin of the sequence of focusing points in which the separation between maxima of T ee and that of T eh is W S .…”

Section: Independent Focusing Of Electrons and Holesmentioning

confidence: 99%

Selective focusing of electrons and holes in a graphene-based superconducting lens

et al. 2012

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We show that a graphene pnp junction with a central superconducting electrode acts as a Veselago lens for incoming electrons by focusing them and their phase-conjugated counterpart (holes) into different points of the optical axis. This selective focusing suggested by a simple trajectory analysis is confirmed by fully microscopic calculations. Although the focusing pattern is degraded by deviations from the ideal conditions, we show that it remains visible for a wide range of parameters. We discuss how this property can be useful for the detection of entangled electron pairs.

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Fine structure of the local pseudogap and Fano effect for superconducting electrons near a zigzag graphene edge

Cited by 20 publications

References 52 publications

Microscopic theory of the proximity effect in superconductor-graphene nanostructures

Microscopic theory of the proximity effect in superconductor-graphene nanostructures

Proximity-induced interface bound states in superconductor-graphene junctions

Selective focusing of electrons and holes in a graphene-based superconducting lens

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