Magnetization without spin: effective Lagrangian of itinerant electrons

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1. Verfasser: Ishikawa, Kenzo
Format: Preprint
Veröffentlicht: 2024
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_version_ 1866910585485000704
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
id 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