Topological braiding of non-Abelian mid-gap defects in classical meta-materials

Yafis Barlas; Emil Prodan

doi:10.1103/physrevlett.124.146801

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arXiv · 1903.00463

Topological braiding of non-Abelian mid-gap defects in classical meta-materials

Yafis Barlas·Emil Prodan

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Abstract

Non-trivial braid-group representations appear as non-Abelian quantum statistics of emergent Majorana zero modes in one and two-dimensional topological superconductors. Here, we generate such representations with topologically protected domain-wall modes in a classical analogue of the Kitaev superconducting chain, with a particle-hole like symmetry and a Z2 topological invariant. The mid-gap modes are found to exhibit distinct fusion channels and rich non-Abelian braiding properties, which are investigated using a T-junction setup. We employ the adiabatic theorem to explicitly calculate the braiding matrices for one and two pairs of these mid-gap topological defects.

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Yafis Barlas, Emil Prodan. 2020-03-19. Topological braiding of non-Abelian mid-gap defects in classical meta-materials. https://doi.org/10.1103/physrevlett.124.146801

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