Majorana phi0 Junction in a Disordered Spin-orbit Coupling Nanowire with Tilted Magnetic Field

Abstract

Majorana Josephson junctions in nanowire systems exhibit a pseudo-$4\pi$ period current-phase relation in the clean limit. In this work, we study how this current-phase relation responds to a tilted magnetic field in a disordered Majorana Josephson junction within the Bogoliubov-de Gennes approach. We show that the tilted magnetic field induces a ${\varphi }_0$ phase shift to the current-phase relation. Most importantly, we find that this ${\varphi }_0$-junction behavior is robust even in the presence of disorders.

arXiv comment15 pages, 6 figures

References in corpus (46)

• 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
• Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries, and the fractional quantum Hall effect
• 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
• Non-Abelian statistics and topological quantum information processing in 1D wire networks
• Observation of Majorana Fermions in a Nb-InSb Nanowire-Nb Hybrid Quantum Device
• Observation of the fractional ac Josephson effect: the signature of Majorana particles
• Exponential Protection of Zero Modes in Majorana Islands
• Majorana Fermion Induced Resonant Andreev Reflection
• Colloquium: Majorana Fermions in nuclear, particle and solid-state physics
• Introduction to topological superconductivity and Majorana fermions
• Tunneling characteristic of a chain of Majorana bound states
• Non-Abelian quantum order in spin-orbit-coupled semiconductors: The search for topological Majorana particles in solid state systems
• Majorana Fermions in Semiconductor Nanowires: Fundamentals, Modeling, and Experiment
• Direct coupling between magnetism and superconducting current in Josephson Phi junction
• $4\pi$-periodic Josephson supercurrent in HgTe-based topological Josephson junctions
• Josephson ${\phi }_0$-junction in nanowire quantum dots
• Anomalous Josephson effect induced by spin-orbit interaction and Zeeman effect in semiconductor nanowires
• AC Josephson effect in finite-length nanowire junctions with Majorana modes
• Anomalous Josephson current through a spin-orbit coupled quantum dot
• Unconventional Josephson signatures of Majorana bound states
• Majorana Fermions and Non-Abelian Statistics in Three Dimensions
• Topological Josephson ${\varphi }_0$-junctions
• Majorana Fermions and Odd-frequency Cooper Pairs in a Nano Wire
• Coulomb stability of the 4π-periodic Josephson effect of Majorana fermions
• Spin Orbit coupling and Anomalous Josephson effect in Nanowires
• Robustness of Majorana Fermion induced Fractional Josephson Effect
• Anomalous Josephson effect in semiconducting nanowires as a signature of the topologically nontrivial phase
• Ac Josephson Effect in Topological Josephson Junctions
• φ-State and Inverted Fraunhofer Pattern in Nonaligned Josephson Junctions
• Signatures of topological phase transitions in Josephson current-phase discontinuities
• Manipulating Majorana Fermions in Quantum Nanowires with Broken Inversion Symmetry
• Dynamical Gate Tunable Supercurrents in Topological Josephson Junctions
• Tilting of the magnetic field in Majorana nanowires: critical angle and zero-energy differential conductance
• Effects of tilting the magnetic field in 1D Majorana nanowires
• Nonequilibrium Majorana fluctuations
• Josephson Effects in Three-Band Superconductors with Broken Time-Reversal Symmetry
• Magneto-Josephson effects and Majorana bound states in quantum wires
• Viewing Majorana Bound States by Rabi Oscillations
• Phase-sensitive SQUIDs based on the 3D topological insulator HgTe
• Critical Current Anomaly at the Topological Quantum Phase Transition in a Majorana Josephson Junction

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