Superconducting Proximity Effect in Silicene: Spin-Valley Polarized Andreev Reflection, Non-Local Transport, and Supercurrent

Abstract

We theoretically study the superconducting proximity effect in silicene, which features massive Dirac fermions with a tunable mass (band gap), and compute the conductance across a normal/superconductor (N/S) silicene junction, the non-local conductance of an N/S/N junction, and the supercurrent flowing in an S/N/S junction. It is demonstrated that the transport processes consisting of local and non-local Andreev reflection may be efficiently controlled via an external electric field owing to the buckled structure of silicene. In particular, we demonstrate that it is possible to obtain a fully spin-valley polarized crossed Andreev reflection process without any contamination of elastic cotunneling or local Andreev reflection, in stark contrast to ordinary metals. It is also shown that the supercurrent flowing in the S/N/S junction can be fully spin-valley polarized and that it is controllable by an external electric field.

5 pages, 4 figures + supplementary information

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• Introduction to topological superconductivity and Majorana fermions
• Specular Andreev reflection in graphene
• Josephson effect in ballistic graphene
• Controllable valley and spin transports in ferromagnetic silicene junctions
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• Nonlocal transistor based on pure crossed Andreev reflection in a EuO-graphene/superconductor hybrid structure
• Spin-filtered and Spatially Distinguishable Crossed Andreev Reflection in a Silicene-Superconductor Junction
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• Enhancement of crossed Andreev reflection in a superconducting ladder connected to normal metal leads
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• Long-range Cooper pair splitter with high entanglement production rate
• Anisotropic Andreev Reflection and Josephson Effect in Ballistic Phosphorene
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• Perfect crossed Andreev reflection in the proximitized graphene/superconductor/proximitized graphene junctions
• Light-modulated Josephson effect in Kekulé patterned graphene
• Tunable crossed Andreev reflection in a heterostructure consisting of ferromagnets, normal metal and superconductors
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• Large magnetoresistance dips and perfect spin-valley filter induced by topological phase transitions in silicene
• Andreev reflection in 2D relativistic materials with realistic tunneling transparency in normal-metal-superconductor junctions
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• Superconducting electron and hole lenses
• Electrically controlled crossover between $2\pi$- and $4\pi$-Josephson effects through topologically-confined channels in silicene
• Classification of magnetic inhomogeneities and $0-\pi$ transitions in superconducting-magnetic hybrid structures
• Variable Coupling Strength of Silicene on Ag(111)
• Tunable wavevector filtering in borophane based normal metal-barrier-normal metal junctions
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• Transport through Nodal Surface Semimetal-Superconductor junction in absence/presence of light irradiation
• Electric spin and valley Hall effects