  This work concerns Ising quasiholes in Moore-Read type lattice wave functions
derived from conformal field theory. We commence with constructing Moore-Read
type lattice states and then add quasiholes to them. By use of Metropolis Monte
Carlo simulations, we analyze the features of the quasiholes, such as their
size, shape, charge, and braiding properties. The braiding properties, which
turn out to be the same as in the continuum Moore-Read state, demonstrate the
topological attributes of the Moore-Read lattice states in a direct way. We
also derive parent Hamiltonians for which the states with quasiholes included
are ground states. One advantage of these Hamiltonians lies therein that we can
now braid the quasiholes just by changing the coupling strengths in the
Hamiltonian since the Hamiltonian is a function of the positions of the
quasiholes. The methodology exploited in this article can also be used to
construct other kinds of lattice fractional quantum Hall models containing
quasiholes, for example investigation of Fibonacci quasiholes in lattice
Read-Rezayi states.
