B-H hysteresis in itinerant Feromagnetism from Chern-Simons Gauge theory
Kenzo Ishikawa
TL;DR
This paper derives a logarithmic H term in the free energy of many-electron systems using Chern-Simons gauge theory, explaining B-H hysteresis and first-order transitions due to quantum mechanical effects.
Contribution
It introduces a theoretical framework connecting Chern-Simons gauge theory to hysteresis phenomena in itinerant ferromagnetism, highlighting quantum mechanical origins.
Findings
Log H term causes first-order transition and hysteresis in many-electron systems.
Hysteresis is linked to quantum mechanics, not domain motions.
Transition occurs in systems with symmetric and single domains.
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 , 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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