没有自旋的磁化巡回电子的有效拉格朗日

IF 2.5 3区物理与天体物理 Q2 PHYSICS, PARTICLES & FIELDS

Nuclear Physics B Pub Date : 2024-08-28 DOI:10.1016/j.nuclphysb.2024.116663

Kenzo Ishikawa

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引用次数: 0

摘要

本文获得了有限磁场下有限密度巡回电子系统的有效拉格朗日。与之前的研究相比，它包含了一个尺度维度较低的电磁势的切尔-西蒙斯项。该项起源于多体波函数，具有独立于自旋自由度的独特拓扑特性。耦合强度与ρeB成正比，在电荷密度恒定的情况下，ρeB在B=0时是奇异的。有限 B 时的有效拉格朗日恰当地表示了 B≠0 时的物理效应。从有效拉格朗日中可以得到被称为斯莱特-保龄曲线的磁场普遍偏移。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Magnetization without spin: Effective Lagrangian of itinerant electrons

In this paper, an effective Lagrangian of an itinerant electron system of finite density at a finite magnetic field is obtained. It includes a Chern-Simons term of electromagnetic potentials of lower-scale dimensions compared to those studied before. This term has an origin in the many-body wave function and a unique topological property that is independent of a spin degree of freedom. The coupling strength is proportional to $\frac{ρ}{e B}$ , which is singular at $B = 0$ for a constant charge density. The effective Lagrangian at a finite B represents the physical effects at $B \neq 0$ properly. A universal shift of the magnetic field known as the Slater-Pauling curve is obtained from the effective Lagrangian.

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来源期刊

Nuclear Physics B 物理-物理：粒子与场物理

CiteScore

5.50

自引率

7.10%

发文量

302

审稿时长

1 months

期刊介绍： Nuclear Physics B focuses on the domain of high energy physics, quantum field theory, statistical systems, and mathematical physics, and includes four main sections: high energy physics - phenomenology, high energy physics - theory, high energy physics - experiment, and quantum field theory, statistical systems, and mathematical physics. The emphasis is on original research papers (Frontiers Articles or Full Length Articles), but Review Articles are also welcome.