Dirac Green's function approach to graphene-superconductor junctions with well defined edges
arXiv:1101.5299 · doi:10.1088/0953-8984/22/27/275304
Abstract
This work presents a novel approach to describe spectral properties of graphene layers with well defined edges. We microscopically analyze the boundary problem for the continuous Bogoliubov-de Gennes-Dirac (BdGD) equations and derive the Green functions for normal and superconducting graphene layers. Importing the idea used in tight-binding (TB) models of a microscopic hopping that couples different regions, we are able to set up and solve an algebraic Dyson's equation describing a graphene-superconductor junction. For this coupled system we analytically derive the Green functions and use them to calculate the local density of states and the spatial variation of the induced pairing correlations in the normal region. Signatures of specular Andreev reflections are identified.
13 pages, 5 figures
References in corpus (23)
- Electronic States of Graphene Nanoribbons
- Bipolar supercurrent in graphene
- Tailoring the atomic structure of graphene nanoribbons by STM lithography
- Specular Andreev reflection in graphene
- Phase Coherent Transport of Charges in Graphene Quantum Billiard
- AC conductivity of graphene: from tight-binding model to 2+1-dimensional quantum electrodynamics
- Josephson effect in ballistic graphene
- Josephson Current and Multiple Andreev Reflections in Graphene SNS Junctions
- Conductance Quantization in Graphene Nanoribbons
- Tunneling conductance of graphene NIS junctions
- Crossed Andreev reflection in a graphene bipolar transistor
- Proximity Induced Superconductivity and Multiple Andreev Reflections in Few-Layer-Graphene
- Dirac-fermions and conductance-oscillations in (s,d)-wave superconductor/normal graphene junctions
- Excitation gap of a graphene channel with superconducting boundaries
- Andreev reflection in graphene nanoribbons
- Microscopic theory of the proximity effect in superconductor-graphene nanostructures
- Subharmonic gap structure in short ballistic graphene junctions
- Near zero modes in condensate phases of the Dirac theory on the honeycomb lattice
- Reentrance effect in a graphene n-p-n junction coupled to a superconductor
- Dirac fermion quantization on graphene edges: Isospin-orbit coupling, zero modes and spontaneous valley polarization
- Fine structure of the local pseudogap and Fano effect for superconducting electrons near a zigzag graphene edge
- Long range crossed Andreev reflections in high Tc superconductors
- -junction qubit in monolayer graphene