SAMOP 2023 – scientific programme

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A: Fachverband Atomphysik

A 10: Atomic Systems in External Fields

A 10.7: Talk

Tuesday, March 7, 2023, 12:45–13:00, F107

Majorana Zero Modes in Fermionic Wires coupled by Aharonov-Bohm Cages — •Niklas Tausendpfund^1,2, Sebastian Diehl², and Matteo Rizzi^1,2 — ¹Peter Grünberg Institut 8, Forschungszentrum Jülich, Germany — ²Institute for Theoretical Physics, University of Cologne, Germany

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 inter- action 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.