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.
arXiv comment6 pages, 3 figures, plus Supplemental Material
References in corpus (55)
- Non-Abelian Anyons and Topological Quantum Computation
- Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
- Unpaired Majorana fermions in quantum wires
- Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
- Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
- Helical liquids and Majorana bound states in quantum wires
- New directions in the pursuit of Majorana fermions in solid state systems
- A generic new platform for topological quantum computation using semiconductor heterostructures
- Search for Majorana fermions in superconductors
- Emergent ferromagnetism near three-quarters filling in twisted bilayer graphene
- Intrinsic quantized anomalous Hall effect in a moiré heterostructure
- Topological quantization of the spin Hall effect in two-dimensional paramagnetic semiconductors
- Higher-Order Topology in Bismuth
- 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
- Chiral Topological Superconductor From the Quantum Hall State
- Integer and fractional Chern insulators in twisted bilayer MoTe2
- Topological Superconductivity and Majorana Fermions in RKKY Systems
- Majorana fermions emerging from magnetic nanoparticles on a superconductor without spin-orbit coupling
- Evidence of topological superconductivity in planar Josephson junctions
- Observation of integer and fractional quantum anomalous Hall effects in twisted bilayer MoTe2
- Induced Superconductivity in the Quantum Spin Hall Edge
- Topological Superconductivity in a Phase-Controlled Josephson Junction
- Search for Majorana fermions in multiband semiconducting nanowires
- Topological Superconductivity in a Planar Josephson Junction
- Ballistic Josephson junctions in edge-contacted graphene
- Two-dimensional platform for networks of Majorana bound states
- Supercurrent in the quantum Hall regime
- Inducing Superconducting Correlation in Quantum Hall Edge States
- Evidence of Higher Order Topology in Multilayer WTe from Josephson Coupling through Anisotropic Hinge States
- Josephson current in s-wave superconductor / Sr_2RuO_4 junctions
- 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
- Ballistic superconductivity and tunable -junctions in InSb quantum wells
- Interference of chiral Andreev edge states
- Quasi-one-dimensional Quantum Anomalous Hall Systems as New Platforms for Scalable Topological Quantum Computation
- Anomalous temperature dependence of the supercurrent through a chaotic Josephson junction
- Full control of quantum Hall supercurrent in a side gated graphene Josephson junction
- superconducting quantum interference through trivial edge states in InAs
- Evidence for chiral supercurrent in quantum Hall Josephson junctions
- Quantum Hall Effect in a Josephson Junction
- Even-odd flux quanta effect in the Fraunhofer oscillations of an edge-channel Josephson junction
- Josephson Currents in Quantum Hall Devices
- 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
- Investigation of Supercurrent in the Quantum Hall Regime in Graphene Josephson Junctions
- Chiral supercurrent through a quantum Hall weak link
- 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