Majorana fermions on the quantum Hall edge

Abstract

Superconductivity and the quantum Hall effect are considered to be two cornerstones of condensed matter physics. The realization of hybrid structures where these two effects coexist has recently become an active field of research. In this work, we study a Josephson junction where a central region in the quantum Hall regime is proximitized with superconductors that can be driven to a topological phase with an external Zeeman field. In this regime, the Majorana modes that emerge at the ends of each superconducting lead couple to the chiral quantum Hall edge states. This produces distinguishable features in the Andreev levels and Fraunhofer patterns that could help in detecting not only the topological phase transition but also the spin degree of freedom of these exotic quasiparticles. The current phase relation and the spectral properties of the junction throughout the topological transition are fully described by a numerical tight-binding calculation. In pursuance of the understanding of these results, we develop a low-energy spinful model that captures the main features of the numerical transport simulations in the topological phase.

arXiv comment13 pages, 12 figures, published version

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Cited by in corpus (11)

• Vortex-enabled Andreev processes in quantum Hall-superconductor hybrids
• Nonequilibrium edge transport in quantum Hall based Josephson junctions
• Edge-induced pairing states in a Josephson junction through a spin-polarized quantum anomalous Hall insulator
• Signatures of triplet superconductivity in nu=2-chiral Andreev states
• Thermoelectric processes of quantum normal-superconductor interfaces
• Fraunhofer pattern in the presence of Majorana zero modes
• Finite field transport response of a dilute magnetic topological insulator based Josephson junction
• Non-local transport measurements in hybrid quantum Hall - superconducting devices
• Heat-charge separation in a hybrid superconducting quantum Hall setup
• Imaging chiral Andreev reflection in the presence of Rashba spin-orbit coupling
• Probing the Design Space of InSb Topological Superconductor Nanowires for the Realization of Majorana Zero Modes