Magnetization without spin: effective Lagrangian of itinerant electrons
- URL: http://arxiv.org/abs/2406.03112v2
- Date: Mon, 10 Jun 2024 07:11:45 GMT
- Title: Magnetization without spin: effective Lagrangian of itinerant electrons
- Authors: Kenzo Ishikawa,
- Abstract summary: The effective Lagrangian at a finite $B$ represents physical effects at $ B neq 0$ properly.
A universal shift of the magnetic field known as Slater-Pauling curve is derived from the effective Lagrangian.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Effective Lagrangian of itinerant electron system of finite density at finite magnetic field is found to include Chern-Simons term of electromagnetic potentials of lower scale dimension than those studied before. This term has an origin in many-body wave function and unique topological property that is independent of a spin degree of freedom. The coupling strength is proportional to $\frac{\rho}{eB}$, which is singular at $B=0$ for a constant charge density. The effective Lagrangian at a finite $B$ represents physical effects at $ B \neq 0$ properly. A universal shift of the magnetic field known as Slater-Pauling curve is derived from the effective Lagrangian.
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