SKM 2023 – wissenschaftliches Programm

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TT: Fachverband Tiefe Temperaturen

TT 31: Topology: Majorana Physics

TT 31.5: Vortrag

Mittwoch, 29. März 2023, 10:30–10:45, HSZ 304

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 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.