Universal properties of anyon braiding on one-dimensional wire networks
arXiv:2007.01207 · doi:10.1103/PhysRevB.102.201407
Abstract
We demonstrate that anyons on wire networks have fundamentally different braiding properties than anyons in 2D. Our analysis reveals an unexpectedly wide variety of possible non-abelian braiding behaviours on networks. The character of braiding depends on the topological invariant called the connectedness of the network. As one of our most striking consequences, particles on modular networks can change their statistical properties when moving between different modules. However, sufficiently highly connected networks already reproduce braiding properties of 2D systems. Our analysis is fully topological and independent on the physical model of anyons.
arXiv comment6 pages, a companion paper to arXiv:2006.15256
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Cited by in corpus (5)
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- Quantum Walk on Orbit Spaces
- Compatibility of Braiding and Fusion on Wire Networks
- Extending the planar theory of anyons to quantum wire networks