  The synthetic organic compound lambda-(BETS)2FeCl4 undergoes successive
transitions from an antiferromagnetic insulator to a metal and then to a
superconductor as a magnetic field is increased. We use a Hubbard-Kondo model
to clarify the role of the Fe(3+) magnetic ions in these phase transitions. In
the high-field regime, the magnetic field acting on the electron spins is
compensated by the exchange field He due to the magnetic ions. This suggests
that the field-induced superconducting state is the same as the zero-field
superconducting state which occurs under pressure or when the Fe(3+) ions are
replaced by non-magnetic Ga(3+) ions. We show how He can be extracted from the
observed splitting of the Shubnikov-de Haas frequencies. Furthermore, we use
this method of extracting He to predict the field range for field-induced
superconductivity in other materials.
