Three-phase Majorana zero modes at tiny magnetic fields

Abstract

Proposals for realizing Majorana fermions in condensed matter systems typically rely on magnetic fields, which degrade the proximitizing superconductor and plague the Majoranas' detection. We propose an alternative scheme to realize Majoranas based only on phase-biased superconductors. The phases (at least three of them) can be biased by a tiny magnetic field threading macroscopic superconducting loops, focusing and enhancing the effect of the magnetic field onto the junction, or by supercurrents. We show how a combination of the superconducting phase winding and the spin-orbit phase induced in closed loops (Aharonov-Casher effect) facilitates a topological superconducting state with Majorana end states. We demontrate this scheme by an analytically tractable model as well as simulations of realistic setups comprising only conventional materials.

5+3 pages, 3+3 figures

References in corpus (40)

• 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
• Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
• Classification of topological insulators and superconductors in three spatial dimensions
• Helical liquids and Majorana bound states in quantum wires
• New directions in the pursuit of Majorana fermions in solid state systems
• Novel Symmetry Classes in Mesoscopic Normal-Superconducting Hybrid Structures
• Observation of Majorana Fermions in Ferromagnetic Atomic Chains on a Superconductor
• A generic new platform for topological quantum computation using semiconductor heterostructures
• Periodic table for topological insulators and superconductors
• Non-Abelian statistics and topological quantum information processing in 1D wire networks
• Majorana fermions in a tunable semiconductor device
• Realizing Majorana zero modes in superconductor-semiconductor heterostructures
• Majorana fermions in chains of magnetic atoms on a superconductor
• Topological superconducting phase in helical Shiba chains
• Evidence of topological superconductivity in planar Josephson junctions
• Topological Superconductivity in a Phase-Controlled Josephson Junction
• Search for Majorana fermions in multiband semiconducting nanowires
• Topological Superconductivity in a Planar Josephson Junction
• Two-dimensional platform for networks of Majorana bound states
• Local Density of States in a Dirty Normal Metal connected to a Superconductor
• Flux-induced Majorana modes in full-shell nanowires
• Topological superconductivity in full shell proximitized nanowires
• Flux-induced topological superconductivity in full-shell nanowires
• Efficient numerical computation of the Pfaffian for dense and banded skew-symmetric matrices
• Single fermion manipulation via superconducting phase differences in multiterminal Josephson junctions
• Zero-field Topological Superconductivity in Ferromagnetic Hybrid Nanowires
• Manipulating Majorana fermions using supercurrents
• Anomalous Supercurrent from Majorana States in Topological Insulator Josephson Junctions
• Enhanced proximity effect in zigzag-shaped Majorana Josephson junctions
• The excitation spectrum of mesoscopic proximity structures
• Benefits of weak disorder in one dimensional topological superconductors
• Majorana fermions in carbon nanotubes
• Destructive Little-Parks Effect in a Full-Shell Nanowire-based Transmon
• Majorana quasiparticles in semiconducting carbon nanotubes
• Supercurrent-induced Majorana bound states in a planar geometry
• Topological superconductivity in Rashba semiconductors without a Zeeman field
• Topological superconductivity in carbon nanotubes with a small magnetic flux
• Robust topological phase in proximitized core-shell nanowires coupled to multiple superconductors

Cited by in corpus (19)

• Hunting for Majoranas
• Signatures of a topological phase transition in a planar Josephson junction
• Phase-induced topological superconductivity in a planar heterostructure
• Planar Josephson junctions in germanium: Effect of cubic spin-orbit interaction
• One-dimensional topological superconductivity based entirely on phase control
• Supercurrent-induced topological phase transitions
• Progress in superconductor-semiconductor topological Josephson junctions
• Majorana zero modes induced by superconducting phase bias
• Phenomenology of Majorana zero modes in full-shell hybrid nanowires
• Unveiling non-Abelian statistics of vortex Majorana bound states in iron-based superconductors using fermionic modes
• Dynamical approach to improving Majorana qubits and distinguishing them from trivial bound states
• Supercurrent-Induced Weyl Superconductivity
• Platform for controllable Majorana zero modes using superconductor/ferromagnet heterostructures
• Phase-controlled minimal Kitaev chain in multiterminal Josephson junctions
• One-dimensional ${\mathbb{Z}}_4$ topological superconductor
• Josephson junction arrays as a platform for topological phases of matter
• Majorana Braiding Racetracks from Charge Chern Insulator - Superconductor Hybrids
• Gapfull and gapless $1$D Topological Superconductivity in Spin-Orbit Coupled Bilayer Graphene
• Many-body wave function and edge magnetization of an open $p+is$ superconducting chain