This review discusses the electronic properties and the prospective research directions of
superconductor-graphene heterostructures. The basic electronic properties of graphene are …

Because the valleys in the band structure of graphene are related by time-reversal
symmetry, electrons from one valley are reflected as holes from the other valley at the …

Extensive efforts have been undertaken to combine superconductivity and the quantum Hall
effect so that Cooper-pair transport between superconducting electrodes in Josephson …

The search for topological excitations such as Majorana fermions has spurred interest in the
boundaries between distinct quantum states. Here, we explore an interface between two …

We have realized an integer quantum Hall system with superconducting contacts by
connecting graphene to niobium electrodes. Below their upper critical field of 4 T, an integer …

We study the behavior of the conductance and the current noise in three-terminal
configurations of edge modes of a quantum Hall system in the ν= 2 filling factor with normal …

The single-particle excitations of a superconductor are coherent superpositions of electrons
and holes near the Fermi level, called Bogoliubov quasiparticles. They are Majorana …

We review applications of complex band structure theory to describe Majorana states in
nanowires and nanowire junctions. The dimensionality of the considered wires is gradually …

We show that a spin-polarized Landau level in a two-dimensional electron gas can carry a
spin-triplet supercurrent between two spin-singlet superconductors. The supercurrent results …

There has been a growing interest in hybrid quantum Hall–superconductor devices, driven
by the prospect to realize exotic ground states and excitations with non-Abelian exchange …