  We present sharp magnetization jumps and field induced irreversibility in
magnetization in multiferroic Y2CoMnO6. Appearance of magnetic relaxation and
field sweep rate dependence of magnetization jumps resemble the martensite like
scenario and suggests the coexistence of E*-type antiferromagnetic and
ferromagnetic phases at low temperatures. In Y2CoMnO6, the critical field
required for the sharp jump can be increased or decreased depening on the
magnitude and direction of the cooling field; this is remarkably different from
manganites or other metamagnetic materials where the critical field increases
irrespective of the direction of the field cooling. The cooling field
dependence on the sharp magnetization jumps has been described by considering
exchange pinning mechanism at the interface, like in exchange bias model.
