Zero-energy quasiparticles in an interacting nanowire containing a topological Josephson junction

Abstract

We study a Josephson junction in a Kitaev chain with particle-hole symmetric nearest neighbor interactions. When the phase difference across the junction is $\pi$, we show analytically that the full spectrum is fourfold degenerate up to corrections that vanish exponentially in the system size. The Majorana bound states at the ends of the chain are known to survive interactions. Our result proves that the same is true for the zero-energy quasiparticle localized at the junction. We further study finite size corrections numerically, and show how repulsive interactions lead to stronger end-to-end correlations than in a noninteracting system with the same bulk gap.

arXiv comment6 pages

References in corpus (25)

• 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
• Josephson Current and Noise at a Superconductor-Quantum Spin Hall Insulator-Superconductor Junction
• Introduction to topological superconductivity and Majorana fermions
• Topological phases with parafermions: theory and blueprints
• Interaction Effects in Topological Superconducting Wires Supporting Majorana Fermions
• Majorana edge states in interacting one-dimensional systems
• AC Josephson effect in finite-length nanowire junctions with Majorana modes
• Unconventional Josephson signatures of Majorana bound states
• Majorana Fermions in Strongly Interacting Helical Liquids
• Strong zero modes and eigenstate phase transitions in the XYZ/interacting Majorana chain
• Observation of the 4$\pi$-periodic Josephson effect in indium arsenide nanowires
• Phenomenology and Dynamics of Majorana Josephson Junction
• Stability of zero modes in parafermion chains
• Tunneling spectra simulation of interacting Majorana wires
• Exact Solution to Interacting Kitaev Chain at Symmetric Point
• Parafermionic phases with symmetry-breaking and topological order
• Exact zero modes in twisted Kitaev chains
• Multiple signatures of topological transitions for interacting fermions in chain lattices
• Exact zero modes and decoherence in systems of interacting Majorana fermions
• Topological degeneracy (Majorana zero-mode) and 1+1D fermionic topological order in a magnetic chain on superconductor via spontaneous Z2 symmetry breaking
• Exact phase diagram and topological phase transitions of the XYZ spin chain