  We study an ultracold bose-fermi mixture in a one dimensional optical
lattice. When boson atoms are heavier then fermion atoms the system is
described by an adiabatic Holstein model, exhibiting a Peierls instability for
commensurate fermion filling factors. A Bosonic density wave with a wavenumber
of twice the Fermi wavenumber will appear in the quasi one-dimensional system.
