Magnetization without spin: effective Lagrangian of itinerant electrons
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910585485000704 |
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| author | Ishikawa, Kenzo |
| author_facet | Ishikawa, Kenzo |
| contents | 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 $\fracρ{eB}$, 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2406_03112 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Magnetization without spin: effective Lagrangian of itinerant electrons Ishikawa, Kenzo Strongly Correlated Electrons High Energy Physics - Theory Quantum Physics 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 $\fracρ{eB}$, 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. |
| title | Magnetization without spin: effective Lagrangian of itinerant electrons |
| topic | Strongly Correlated Electrons High Energy Physics - Theory Quantum Physics |
| url | https://arxiv.org/abs/2406.03112 |