Long-range Kitaev Chains via Planar Josephson Junctions

Abstract

We show how a recently proposed solid state Majorana platform comprising a planar Josephson junction proximitized to a 2D electron gas (2DEG) with Rashba spin-orbit coupling and Zeeman field can be viewed as an effectively one dimensional (1D) Kitaev chain with long-range pairing and hopping terms. We highlight how the couplings of the 1D system may be tuned by changing experimentally realistic parameters. We also show that the mapping is robust to disorder by computing the Clifford pseudospectrum index in real space for the long-range Kitaev chain across several topological phases. This mapping opens up the possibility of using current experimental setups to explore 1D topological superconductors with non-standard, and tunable couplings.

8 pages, 6 figures; version to appear in Physical Review B, includes new appendix

References in corpus (10)

• Non-Abelian Anyons and Topological Quantum Computation
• Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
• Introduction to topological superconductivity and Majorana fermions
• Scaling of Majorana Zero-Bias Conductance Peaks
• Kitaev chains with long-range pairing
• Transparent Semiconductor-Superconductor Interface and Induced Gap in an Epitaxial Heterostructure Josephson Junction
• Floquet engineering of long-range p-wave superconductivity
• Topological minigap in quasi-one-dimensional spin-orbit-coupled semiconductor Majorana wires
• Current transport properties and phase diagram of a Kitaev chain with long-range pairing
• Building topological quantum circuits: Majorana nanowire junctions

Cited by in corpus (20)

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• Dynamics of almost strong edge modes in spin chains away from integrability
• Topological superconductivity in planar Josephson junctions: Narrowing down to the nanowire limit
• Disordered Kitaev chain with long-range pairing: Loschmidt echo revivals and dynamical phase transitions
• Floquet Majorana zero and $\pi$ modes in planar Josephson junctions
• One-dimensional quantum many body systems with long-range interactions
• Electrical control of Majorana Bound States Using Magnetic Stripes
• Algebraic Localization from Power-Law Interactions in Disordered Quantum Wires
• Floquet Majorana bound states in voltage-biased Planar Josephson Junctions
• Performance of quantum heat engines under the influence of long-range interactions
• Time-Reversal Invariant Topological Superconductivity in Planar Josephson Bijunction
• Finite Temperature Off-Diagonal Long-Range Order for Interacting Bosons
• Even spheres as joint spectra of matrix models
• Floquet-engineered diode performance in a Majorana-quantum dot Josephson junction
• Topological zero-modes of the spectral localizer of trivial metals
• Effects of dynamical noises on Majorana bound states
• Band twisting and resilience to disorder in long-range topological superconductors
• Majorana bound state parity exchanges in planar Josephson junctions
• Dynamics of Majorana zero modes across hybrid Kitaev chain
• Charge current and phase diagram of the disordered open longer-range Kitaev chain