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Quasielectrons in lattice Moore-Read models

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

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Wildeboer,  Julia
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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1810.12288.pdf
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Citation

Manna, S., Wildeboer, J., & Nielsen, A. E. B. (2019). Quasielectrons in lattice Moore-Read models. Physical Review B, 99(4): 045147. doi:10.1103/PhysRevB.99.045147.


Cite as: http://hdl.handle.net/21.11116/0000-0006-8A4A-C
Abstract
Moore-Read states can be expressed as conformal blocks of the underlying rational conformal field theory, which provides a well explored description for the insertion of quasiholes. It is known, however, that quasielectrons are more difficult to describe in continuous systems, since the natural guess for how to construct them leads to a singularity. In this work, we show that the singularity problem does not arise for lattice Moore-Read states. This allows us to construct Moore-Read Pfaffian states on lattices for filling fraction 5/2 with both quasiholes and quasielectrons in a simple way. We investigate the density profile, charge, size, and braiding properties of the anyons by means of Monte Carlo simulations. Further we derive an exact few-body parent Hamiltonian for the states. Finally, we compare our results to the density profile, charge, and shape of anyons in the Kapit-Mueller model by means of exact diagonalization.