Three-phase Majorana zero modes at tiny magnetic fields

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Proposals for realizing Majorana fermions in condensed-matter systems typically rely on magnetic fields, which degrade the proximitizing superconductor and plague theMajoranas' 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 demonstrate this scheme with an analytically tractable model as well as simulations of realistic setups comprising only conventional materials.

Original languageEnglish
Article number121116
JournalPhysical Review B
Issue number12
Number of pages6
Publication statusPublished - 26 Mar 2021

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