Parafermions in a multilegged geometry: Towards a scalable parafermionic network
Udit Khanna, Moshe Goldstein, Yuval Gefen
Abstract
Parafermionic zero modes are non-Abelian excitations which have been predicted to emerge at the boundary of topological phases of matter. Contrary to earlier proposals, here we show that such zero modes may also exist in multilegged star junctions of quantum Hall states. We demonstrate that the quantum states spanning the degenerate parafermionic Hilbert space may be detected and manipulated through protocols employing quantum antidots and fractional edge modes. Such star-shaped setups may be the building blocks of two-dimensional parafermionic networks.
Topics & Concepts
PhysicsHilbert spaceDegenerate energy levelsQuantumStar (game theory)Abelian groupBoundary (topology)Zero (linguistics)Mathematical physicsSpace (punctuation)Theoretical physicsQuantum mechanicsPure mathematicsMathematicsAstrophysicsMathematical analysisPhilosophyLinguisticsTopological Materials and PhenomenaQuantum and electron transport phenomenaQuantum many-body systems