Majorana zero modes in Y-shape interacting Kitaev wires
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Abstract
Abstract Motivated by the recent experimental realization of minimal Kitaev chains using quantum dots, we investigate the Majorana zero modes (MZM) in Y -shape Kitaev wires. We solve the associated Kitaev models analytically at the sweet spot ( t h = Δ) and derive the exact form of MZM wave-functions in this geometry. We observed exotic multi-site MZMs located near the junction center, on the nearby edge sites of each leg. This result is important for potential braiding of Majoranas and the performance of Y -junctions made from arrays of quantum dots. Furthermore, we study the stability of local (single-site) and multi-site MZMs modes in the presence of Coulomb repulsion, using density matrix renormalization group theory. Our local density-of-states calculation shows that these multi-site MZMs are as equally topologically protected as the single-site MZMs when in the presence of Coulomb repulsion or when away from the sweet-spot.
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Research context
OpenAlex topics: Topological Materials and Phenomena · Advanced Condensed Matter Physics · Physics of Superconductivity and Magnetism
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