Journal
PHYSICAL REVIEW B
Volume 84, Issue 18, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.84.180502
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Funding
- Dutch Science Foundation NWO/FOM
- ERC
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The Josephson energy of two superconducting islands containing Majorana fermions is a 4 pi-periodic function of the superconducting phase difference. If the islands have a small capacitance, their ground state energy is governed by the competition of Josephson and charging energies. We calculate this ground-state energy in a ring geometry, as a function of the flux Phi enclosed by the ring, and show that the dependence on the Aharonov-Bohm phase 2e Phi/(h) over bar remains 4 pi periodic regardless of the ratio of charging and Josephson energies-provided that the entire ring is in a topologically nontrivial state. If part of the ring is topologically trivial, then the charging energy induces quantum phase slips that restore the usual 2 pi periodicity.
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