Majorana Zero Modes in Fermionic Wires coupled by Aharonov-Bohm Cages

• URL: http://arxiv.org/abs/2208.09382v2
• Date: Fri, 16 Sep 2022 08:40:58 GMT
• Title: Majorana Zero Modes in Fermionic Wires coupled by Aharonov-Bohm Cages
• Authors: Niklas Tausendpfund, Sebastian Diehl, Matteo Rizzi
• Abstract summary: We devise a number-conserving scheme for the realization of Majorana Zero Modes in an interacting fermionic ladder coupled by Aharonov-Bohm cages. A generic nearest-neighbor interaction generates the desired correlated hopping of pairs. We demonstrate the adiabatic connection to previous models, including exactly-solvable ones, and we briefly comment on possible experimental realizations in synthetic quantum platforms.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We devise a number-conserving scheme for the realization of Majorana Zero Modes in an interacting fermionic ladder coupled by Aharonov-Bohm cages. The latter provide an efficient mechanism to cancel single-particle hopping by destructive interference. The crucial parity symmetry in each wire is thus encoded in the geometry of the setup, in particular, its translation invariance. A generic nearest-neighbor interaction generates the desired correlated hopping of pairs. We exhibit the presence of an extended topological region in parameter space, first in a simplified effective model via bosonization techniques, and subsequently in a larger parameter regime with matrix-product-states numerical simulations. We demonstrate the adiabatic connection to previous models, including exactly-solvable ones, and we briefly comment on possible experimental realizations in synthetic quantum platforms, like cold atomic samples.

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