  In this paper we study the properties of media with chiral imbalance
parameterized by chiral chemical potential. It is shown that depending on the
strength of interaction between constituents in the media the chiral chemical
potential either creates or enhances dynamical chiral symmetry breaking. Thus
the chiral chemical potential plays a role of the catalyst of dynamical chiral
symmetry breaking. Physically this effect results from the appearance of the
Fermi surface and additional fermion states on this surface which take part in
dynamical chiral symmetry breaking. An interesting conclusion which can be
drawn is that at sufficiently small temperature chiral plasma is unstable with
respect to condensation of Cooper pairs and dynamical chiral symmetry breaking
even for vanishingly small interactions between constituents.
