Anomalous periodicity and Majorana zero modes in chiral Josephson junctions
arXiv:2308.01079 · doi:10.1103/PhysRevLett.133.056601
Abstract
Recent experiments reported that quantum Hall chiral edge state-mediated Josephson junctions (chiral Josephson junctions) could exhibit Fraunhofer oscillations with a periodicity of either [Vignaud \textit{et al}.,~Nature~(2023)] or [Amet \textit{et al}.,~Science~\textbf{352}~966~(2016)]. While the -periodic component of the supercurrent had been anticipated theoretically before, the emergence of the -periodicity is still not fully understood. In this work, we show that the chiral edge states coupled to the superconductors become chiral Andreev edge states. In short junctions, the coupling of the chiral Andreev edge states can cause the -magnetic flux periodicity. Our theory resolves the long-standing puzzle concerning the appearance of the -periodicity in chiral Josephson junctions. Furthermore, we explain that when the chiral Andreev edge state couple, a pair of localized Majorana modes appear at the ends of the Josephson junction, which are robust and independent of the phase difference between the two superconductors. As the -periodicity and the Majorana zero modes have the same physical origin, the Fraunhofer oscillation period can be used to identify the regime with Majorana zero modes.
6 pages, 3 figures, plus Supplemental Material
References in corpus (23)
- Non-Abelian Anyons and Topological Quantum Computation
- Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
- Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
- Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
- Signatures of Fractional Quantum Anomalous Hall States in Twisted MoTe2 Bilayer
- Observation of Fractionally Quantized Anomalous Hall Effect
- Quantum anomalous Hall effect from intertwined moiré bands
- Integer and fractional Chern insulators in twisted bilayer MoTe2
- Observation of integer and fractional quantum anomalous Hall effects in twisted bilayer MoTe2
- Search for Majorana fermions in multiband semiconducting nanowires
- Hunting for Majoranas
- Josephson Diode Effect Induced by Valley Polarization in Twisted Bilayer Graphene
- Spin-triplet supercurrent carried by quantum Hall edge states through a Josephson junction
- superconducting quantum interference through trivial edge states in InAs
- Evidence for chiral supercurrent in quantum Hall Josephson junctions
- Disorder in Andreev reflection of a quantum Hall edge
- Gate-Defined Topological Josephson Junctions in Bernal Bilayer Graphene
- -Josephson junction in twisted bilayer graphene induced by a valley-polarized state
- Vortex-enabled Andreev processes in quantum Hall-superconductor hybrids
- Long-lived Andreev states as evidence for protected hinge modes in a bismuth nanoring Josephson junction
- Edge-induced pairing states in a Josephson junction through a spin-polarized quantum anomalous Hall insulator
- Fraunhofer pattern in the presence of Majorana zero modes
- Quantum interference in a superconductor--superconductor Josephson junction