Anyons and fractional quantum Hall effect in fractal dimensions
Sourav Manna, Biplab Pal, Wei Wang, Anne E. B. Nielsen
Abstract
This paper shows that anyons and the fractional quantum Hall effect can appear in fractal dimensions between one and two. The authors construct models on fractal lattices displaying the effect and demonstrate anyon braiding in the systems.
Topics & Concepts
Topological quantum computerAnyonFractalQuantum Hall effectFractional quantum Hall effectPhysicsQuantumQuantum mechanicsTheoretical physicsClass (philosophy)Fractal dimensionConstruct (python library)Coin flippingQuantum spin Hall effectMathematicsWork (physics)Complex systemSPHERESQuantum and electron transport phenomenaTopological Materials and PhenomenaTheoretical and Computational Physics