Tunable Majorana corner states driven by superconducting phase bias in a vertical Josephson junction
arXiv:2509.03949 · doi:10.1103/tnnd-n2fg
Abstract
The realization and manipulation of Majorana zero modes is a key step in achieving topological quantum computation. In this paper, we demonstrate the existence of Majorana corner states in a superconductor-insulators-superconductor vertical Josephson junction. The position of these Majorana corner states can be precisely and easily controlled by the superconducting phase bias, which be confirmed through both numerical and edge state theoretical analysis. In addition, we propose a protocol for achieving topological braiding of the Majorana corner states in a system of three circular vertical Josephson junctions. Our findings advance the field of topological quantum computation by providing new insights into the efficient and precise manipulation of Majorana corner states.
arXiv comment11 pages, 7 figures
References in corpus (66)
- 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
- Evidence of Majorana fermions in an Al - InAs nanowire topological superconductor
- Non-abelian statistics of half-quantum vortices in p-wave superconductors
- Search for Majorana fermions in superconductors
- Topological quantum memory
- Non-Abelian statistics and topological quantum information processing in 1D wire networks
- Observation of the fractional ac Josephson effect: the signature of Majorana particles
- Topological quantization of the spin Hall effect in two-dimensional paramagnetic semiconductors
- Introduction to topological superconductivity and Majorana fermions
- Superconductor-Nanowire Devices from Tunneling to the Multichannel Regime: Zero-Bias Oscillations and Magnetoconductance Crossover
- Anomalous modulation of a zero bias peak in a hybrid nanowire-superconductor device
- Majorana fermions in chains of magnetic atoms on a superconductor
- Observation of topological superconductivity on the surface of an iron-based superconductor
- Chiral Topological Superconductor From the Quantum Hall State
- Evidence of topological superconductivity in planar Josephson junctions
- Topological Superconductivity in a Phase-Controlled Josephson Junction
- Majorana corner modes in a high-temperature platform
- Topological nature of FeSeTe superconductor
- Topological superconductivity on the surface of Fe-based superconductors
- Topological Superconductivity in a Planar Josephson Junction
- High-Temperature Majorana Corner States
- Two-dimensional platform for networks of Majorana bound states
- Tuning Chern Number in Quantum Anomalous Hall Insulators
- Tunable Majorana corner states in a two-dimensional second-order topological superconductor induced by magnetic fields
- Majorana corner states in a two-dimensional magnetic topological insulator on a high-temperature superconductor
- Conductance and noise signatures of Majorana backscattering
- SQUIPT - Superconducting Quantum Interference Proximity Transistor
- Quantum Anomalous Hall Effect in Antiferromagnetism
- Second-order Topological Superconductors with Mixed Pairing
- In-plane Zeeman field induced Majorana corner and hinge modes in an -wave superconductor heterostructure
- Ordered and tunable Majorana-zero-mode lattice in naturally strained LiFeAs
- Topological and holonomic quantum computation based on second-order topological superconductors
- Hunting for Majoranas
- Majorana corner and hinge modes in second-order topological insulator-superconductor heterostructures
- Correlated spin currents generated by resonant crossed Andreev reflections in topological superconductors
- Braiding of Majorana corner states in electric circuits and its non-Hermitian generalization
- Braiding Majorana corner modes in a second-order topological superconductor
- A geometric protocol for a robust Majorana magic gate
- All-electrically tunable networks of Majorana bound states
- Benefits of weak disorder in one dimensional topological superconductors
- Fractional Josephson Vortices and Braiding of Majorana Zero Modes in Planar Superconductor-Semiconductor Heterostructures
- Topological superconductivity in planar Josephson junctions: Narrowing down to the nanowire limit
- Non-Abelian Braiding of Chiral Majorana Fermions by Quantum Dots
- Braiding Majorana Fermions and Creating Quantum Logic Gates with Vortices on a Periodic Pinning Structure
- Kramers pairs of Majorana corner states in a topological insulator bilayer
- Phase-induced topological superconductivity in a planar heterostructure
- Two-particle Berry phase mechanism for Dirac and Majorana Kramers pairs of corner modes
- Tunable Majorana corner modes in noncentrosymmetric superconductors: Tunneling spectroscopy and edge imperfections
- Supercurrent-induced Majorana bound states in a planar geometry
- Controllable chirality and band gap of quantum anomalous Hall insulators
- Vortex Majorana braiding in a finite time
- A cryogenic on-chip microwave pulse generator for large-scale superconducting quantum computing
- Electrically tunable chiral Majorana edge modes in quantum anomalous Hall insulator-topological superconductor systems
- Multimechanism quantum anomalous Hall and Chern number tunable states in germanene (silicene, stanene)/BiTe heterostructures
- Meissner effect induced Majorana zero modes at small magnetic field
- Characterizing Dynamic Majorana Hybridization for Universal Quantum Computing
- Nonlocal superconducting quantum interference device
- Strain manipulation of Majorana fermions in graphene armchair nanoribbons
- Topological phase transition driven by magnetic field in one-dimensional topological superconductor rings
- Realization of the Non-endpoint Majorana Bound States in an Extended Kitaev Chain