Quasielectrons in lattice Moore-Read models

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.

arXiv comment10 pages, 5 figures

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Cited by in corpus (7)

• Quasiparticles as Detector of Topological Quantum Phase Transitions
• Model wavefunctions for interfaces between lattice Laughlin states
• Model wavefunctions for an interface between lattice Laughlin and Moore-Read states
• Chiral conformal field theory for topological states and the anyon eigenbasis on the torus
• Operator-state correspondence in simple current extended conformal field theories: Toward a general understanding of chiral conformal field theories and topological orders
• Continuum limit of lattice quasielectron wavefunctions
• Exact Parent Hamiltonians for All Landau Level States in a Half-flux Lattice