Details

Autor(en) / Beteiligte

• Barlas, Yafis
• Prodan, Emil

Titel

Topological Braiding of Non-Abelian Midgap Defects in Classical Metamaterials

Ist Teil von

• Physical review letters, 2020-04, Vol.124 (14), p.146801-146801, Article 146801

Ort / Verlag

United States: American Physical Society

Erscheinungsjahr

2020

Link zum Volltext

Quelle

American Physical Society

Beschreibungen/Notizen

• Nontrivial 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 analog of the Kitaev superconducting chain, with a particle-holelike symmetry and a Z_{2} topological invariant. The midgap 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 midgap topological defects.