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Anyonic quasiparticles of hardcore anyons

MPS-Authors
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Wildeboer,  Julia
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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Patra,  Aniket
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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Manna,  Sourav
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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Nielsen,  Anne E. B.
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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1711.00845.pdf
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Citation

Wildeboer, J., Patra, A., Manna, S., & Nielsen, A. E. B. (2020). Anyonic quasiparticles of hardcore anyons. Physical Review B, 102(12): 125117. doi:10.1103/PhysRevB.102.125117.


Cite as: http://hdl.handle.net/21.11116/0000-0007-CCEC-A
Abstract
Strongly interacting topologically ordered many-body systems consisting of fermions or bosons can host exotic quasiparticles with anyonic statistics. This raises the question whether many-body systems of anyons can also form anyonic quasiparticles. Here we show that one can, indeed, construct many-anyon wave functions with anyonic quasiparticles. The braiding statistics of the emergent anyons are different from those of the original anyons. We investigate hole-type and particle-type anyonic quasiparticles in Abelian systems on a two-dimensional lattice and compute the density profiles and braiding properties of the emergent anyons by employing Monte Carlo simulations.