Binding zero modes with fluxons in Josephson junctions of time-reversal invariant topological superconductors
Gabriel F. Rodríguez Ruiz, Adrian Reich, Alexander Shnirman, Jörg Schmalian, Liliana Arrachea
DOI 10.1103/PhysRevB.110.245427 · Physical Review B
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Abstract
We study the joint dynamics of the phase bias ϕ and the propagating Majorana fermions of the edge modes in Josephson junctions containing two-dimensional time-reversal invariant topological superconductors (TRITOPS). We consider TRITOPS-TRITOPS junctions, as well as junctions between topological and nontopological superconductors (TRITOPS-S). Both types of junctions are described by effective Dirac Hamiltonians with a ϕ-dependent mass. We analyze the effect of the phase fluctuations in the junction, as well as solitonic solutions of ϕ generated by fluxons trapped in the junction. We show that these solitons generate a spatial-dependent mass with a sign change akin to the Jackiw-Rebbi model. This enables the formation of zero-energy fermionic states localized at the fluxon. For the TRITOPS-TRITOPS junction these consist of a Kramers pair of Majorana modes, while for the TRITOPS-S one, there is a single Majorana fermion. The localized bound states hybridize in soliton-antisoliton configurations. Depending on the occupation state, these modes generate an effective attraction or repulsion in the dynamics of the soliton-antisoliton collision.
Source-reported materials — not catalogue approval
| Formula | Reported Tc (K) | Pressure (GPa) | Type |
|---|---|---|---|
| FeSe Archive — visibility unverified Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula. | — | Pressure not reported | unknown |
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