B-H hysteresis in itinerant Feromagnetism from Chern-Simons Gauge theory

Abstract

The log H term is derived in the free energy of many-electron system from Chern-Simons gauge theory. Owing to the singularity at H=0, this leads the first order transition and B-H hysteresis to many-electron systems of symmetric and single domain. This has the origin in quantum mechanics and is irrelevant to non-invertible motions of domains. This transition appears in single and symmetric domain.

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