Majorana bound states in d-wave superconductor planar Josephson junction

Abstract

We study phase-controlled planar Josephson junctions comprising a two-dimensional electron gas with strong spin-orbit coupling and d-wave superconductors, which have an advantage of high critical temperature. We show that a region between the two superconductors can be tuned into a topological state by the in-plane Zeeman field, and can host Majorana bound states. The phase diagram as a function of the Zeeman field, chemical potential, and the phase difference between superconductors exhibits the appearance of Majorana bound states for a wide range of parameters. We further investigate the behavior of the topological gap and its dependence on the type of d-wave pairing, i.e., d, d+is, or d+id', and note the difficulties that can arise due to the presence of gapless excitations in pure d-wave superconductors. On the other hand, the planar Josephson junctions based on superconductors with d+is and d+id' pairings can potentially lead to realizations of Majorana bound states. Our proposal can be realized in cuprate superconductors, e.g., in a twisted bilayer, combined with the layered semiconductor Bi2O2Se.

4 pages, 4 figures

References in corpus (15)

• Non-Abelian Anyons and Topological Quantum Computation
• Topological Insulators with Inversion Symmetry
• Colloquium: Majorana Fermions in nuclear, particle and solid-state physics
• Majorana qubit decoherence by quasiparticle poisoning
• Non-Abelian Topological Orders and Majorana Fermions in Spin-Singlet Superconductors
• InAs-Al Hybrid Devices Passing the Topological Gap Protocol
• High-temperature topological superconductivity in twisted double layer copper oxides
• Theory of diode effect in d-wave superconductor junctions on the surface of topological insulator
• Energy gap measurement of nanostructured thin aluminium films for use in single Cooper-pair devices
• Topological superconductivity in planar Josephson junctions: Narrowing down to the nanowire limit
• Chiral Majorana Modes via Proximity to a Twisted Cuprate Bilayer
• Full proximity treatment of topological superconductors in Josephson-junction architectures
• Planar Josephson junctions in germanium: Effect of cubic spin-orbit interaction
• Gatemon qubit based on a thin InAs-Al hybrid nanowire
• Topological d-wave superconductivity in two dimensions

Cited by in corpus (2)

• Multiple Majorana bound states and their resilience against disorder in planar Josephson junctions
• Magnetic field-free braiding and nontrivial fusion of Majorana bound states in high-temperature planar Josephson junctions