Localized Many-Particle Majorana Modes with Vanishing Time-Reversal Symmetry Breaking in Double Quantum Dots

Abstract

We introduce the concept of spinful many-particle Majorana modes with local odd operator products, thereby preserving their local statistics. We consider a superconductor-double-quantum-dot system where these modes can arise with negligible Zeeman splitting when Coulomb interactions are present. We find a reverse Mott-insulator transition, where the even- and odd-parity bands become degenerate. Above this transition, Majorana operators move the system between the odd-parity ground state, associated with elastic cotunneling, and the even-parity ground state, associated with crossed Andreev reflection. These Majorana modes are described in terms of one, three, and five operator products. Parity conservation results in a 4% periodic supercurrent in the even state and no supercurrent in the odd state.

5 pages, 4 figures. Final published form

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• Interaction-induced strong zero modes in short quantum dot chains with time-reversal symmetry
• Floquet Majorana Fermions in superconducting quantum dots
• A complete set of eigenstates for position-dependent massive particles in a Morse-like scenario
• Many-particle Majorana bound states: derivation and signatures in superconducting double quantum dots
• Majorana modes in a triple-terminal Josephson junction with embedded parallel-coupled double quantum dots
• Quantifying robustness and locality of Majorana bound states in interacting systems
• Creating and detecting poor man's Majorana bound states in interacting quantum dots