  Quantum mechanics and relativity in the continuum imply the well known
spin-statistics connection. However for particles hopping on a lattice, there
is no such constraint. If a lattice model yields a relativistic field theory in
a continuum limit, this constraint must "emerge" for physical excitations. We
discuss a few models where a spin-less fermion hopping on a lattice gives
excitations which satisfy the continuum Dirac equation. This includes such well
known systems such as graphene and staggered fermions.
