Ferromagnetic Domain Wall and Primeval Magnetic Field

We show that coherent magnetic field is generated spontaneously when a large domain wall is created in the early universe. It is caused by two dimensional massless fermions bounded to the domain wall soliton. We point out that the magnetic field is a candidate of primordial magnetic field.Comment: zero point energy missed in previous version is include

Orbital ferromagnetism and anomalous Hall effect in antiferromagnets on distorted fcc lattice

The Berry phase due to the spin wavefunction gives rise to the orbital ferromagnetism and anomalous Hall effect in the non-coplanar antiferromagnetic ordered state on face centered cubic (fcc) lattice once the crystal is distorted perpendicular to (1,1,1) or (1,1,0)- plane. The relevance to the real systems $\gamma$-FeMn and NiS$_2$ is also discussed.Comment: 4 pages, 3 figure