Effective spin Hamiltonian for the CuO planes in La2CuO4 and metamagnetism

We show that the effective spin Hamiltonian used previously to describe the CuO planes of La2CuO4 does not lead to a net ferromagnetic moment for CuO planes and hence does not describe the metamagnetic behavior seen experimentally. We construct for the first time a Hamiltonian from the symmetries of the crystal structure which does lead to metamagnetism. The linear spin-wave spectrum is also calculated. This work points to the necessity of constructing effective spin Hamiltonians for metamagnetic systems which have the same symmetries as the system they are to describe.