Floquet Majorana bound states in voltage-biased Planar Josephson Junctions

Abstract

We study a planar Josephson junction under an applied DC voltage bias in the presence of an in-plane magnetic field. Upon tuning the bias voltage across the junction, $V_{\mathrm{J}}$, the two ends of the junction are shown to simultaneously host both $0$- and $\pi$-Majorana modes. These modes can be probed using either a Scanning-Tunneling-Microscopy measurement or through resonant Andreev tunneling from a lead coupled to the junction. While these modes are mostly bound to the junction's ends, they can hybridize with the bulk by absorbing or emitting photons. We analyze this process both numerically and analytically, demonstrating that it can become negligible under typical experimental conditions. Transport signatures of the $0$- and $\pi$-Majorana states are shown to be robust to moderate disorder.

arXiv comment10 pages, 5 figures

References in corpus (55)

• Unpaired Majorana fermions in quantum wires
• 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
• Search for Majorana fermions in superconductors
• Observation of a Discrete Time Crystal
• Realizing Majorana zero modes in superconductor-semiconductor heterostructures
• Floquet Time Crystals
• On the phase structure of driven quantum systems
• Majorana Fermion Induced Resonant Andreev Reflection
• Majorana Fermions in Equilibrium and Driven Cold Atom Quantum Wires
• Discrete time crystals: rigidity, criticality, and realizations
• Tunneling characteristic of a chain of Majorana bound states
• Floquet scattering theory of quantum pumps
• Localization protected quantum order
• Evidence of topological superconductivity in planar Josephson junctions
• Synthetic dimensions in integrated photonics: From optical isolation to 4D quantum Hall physics
• Topological Superconductivity in a Phase-Controlled Josephson Junction
• Observing Majorana Bound States in p-wave Superconductors Using Noise Measurements in Tunneling Experiments
• Absolute Stability and Spatiotemporal Long-Range Order in Floquet systems
• Topological Superconductivity in a Planar Josephson Junction
• Photonic gauge potential in a system with a synthetic frequency dimension
• Floquet generation of Majorana end modes and topological invariants
• Two-dimensional platform for networks of Majorana bound states
• Transport signatures of Floquet Majorana fermions in driven topological superconductors
• Griffiths effects and quantum critical points in dirty superconductors without spin-rotation invariance: One-dimensional examples
• Probability distribution of Majorana end-state energies in disordered wires
• Universal transport signatures of Majorana fermions in superconductor-Luttinger liquid junctions
• Topological frequency conversion in strongly driven quantum systems
• Interplay of disorder and interaction in Majorana quantum wires
• Phase signature of topological transition in Josephson Junctions
• Effects of electron scattering on the topological properties of nanowires: Majorana fermions from disorder and superlattices
• Simulation of non-Abelian braiding in Majorana time crystals
• Floquet Majorana and Para-Fermions in Driven Rashba Nanowires
• Unpaired Floquet Majorana fermions without magnetic fields
• Quantum computation via Floquet topological edge modes
• Topologically protected braiding in a single wire using Floquet Majorana modes
• Signatures of topological phase transitions in mesoscopic superconducting rings
• Edge State Transport in Floquet Topological Insulators
• Benefits of weak disorder in one dimensional topological superconductors
• Tuning Topological Superconductivity in Phase-Controlled Josephson Junctions with Rashba and Dresselhaus Spin-Orbit Coupling
• Time-quasiperiodic topological superconductors with Majorana Multiplexing
• Topological superconductivity in planar Josephson junctions: Narrowing down to the nanowire limit
• Random-matrix theory of Andreev reflection from a topological superconductor
• Coupling and braiding Majorana bound states in networks defined in proximitized two-dimensional electron gases
• Floquet Majorana zero and $\pi$ modes in planar Josephson junctions
• Reentrant topological phase transitions in a disordered spinless superconducting wire
• Tunable Floquet Majorana Fermions in Driven Coupled Quantum Dots
• Long-range Kitaev Chains via Planar Josephson Junctions
• Central Charge of Periodically Driven Critical Kitaev Chains
• Entanglement properties of the time periodic Kitaev Chain
• Quantum Anomalous Parity Hall Effect in Magnetically Disordered Topological Insulator Films
• Density of states at disorder-induced phase transitions in a multichannel Majorana wire
• Electronic transport in one-dimensional Floquet topological insulators via topological and nontopological edge states
• Anomalous Proximity Effect of Planer Topological Josephson Junctions

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