Many-particle Majorana bound states: derivation and signatures in superconducting double quantum dots

Abstract

We consider two interacting quantum dots coupled by standard superconductors. We derive an effective Hamiltonian, and show that over a wide parameter range a degenerate ground state can be obtained. An exotique form of Majorana bound states are supported at these degeneracies, and the system can be adiabatically tuned to a limit in which it is equivalent to the one-dimensional wire model of Kitaev. We give the form of a Majorana bound state in this system in the strong interaction limit in the many-particle picture. We also study the Josephson current in this system, and demonstrate that a double slit-like pattern emerges in the presence of an extra magnetic field. This pattern is shown to disappear with increasing interaction strength, which is able to be explained as the current being carried by chargeless Majorana modes.

13 pages, 7 figures. Updated paper includes more details regarding the derivation of the effective Hamiltonian

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Cited by in corpus (4)

• Quantum-dot-based Kitaev chains: Majorana quality measures and scaling with increasing chain length
• Interaction-induced strong zero modes in short quantum dot chains with time-reversal symmetry
• Quantifying robustness and locality of Majorana bound states in interacting systems
• Creating and detecting poor man's Majorana bound states in interacting quantum dots