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

{"title":"没有自旋的磁化巡回电子的有效拉格朗日","authors":"","doi":"10.1016/j.nuclphysb.2024.116663","DOIUrl":null,"url":null,"abstract":"<div>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 <math><mfrac><mrow><mi>ρ</mi></mrow><mrow><mi>e</mi><mi>B</mi></mrow></mfrac></math>, which is singular at <math><mi>B</mi><mo>=</mo><mn>0</mn></math> for a constant charge density. The effective Lagrangian at a finite B represents the physical effects at <math><mi>B</mi><mo>≠</mo><mn>0</mn></math> properly. A universal shift of the magnetic field known as the Slater-Pauling curve is obtained from the effective Lagrangian.</div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":null,"pages":null},"PeriodicalIF":2.5000,"publicationDate":"2024-08-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0550321324002293/pdfft?md5=29e112f1de1b1ce3b311b8bcfaabb079&pid=1-s2.0-S0550321324002293-main.pdf","citationCount":"0","resultStr":"{\"title\":\"Magnetization without spin: Effective Lagrangian of itinerant electrons\",\"authors\":\"\",\"doi\":\"10.1016/j.nuclphysb.2024.116663\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div>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 <math><mfrac><mrow><mi>ρ</mi></mrow><mrow><mi>e</mi><mi>B</mi></mrow></mfrac></math>, which is singular at <math><mi>B</mi><mo>=</mo><mn>0</mn></math> for a constant charge density. The effective Lagrangian at a finite B represents the physical effects at <math><mi>B</mi><mo>≠</mo><mn>0</mn></math> properly. A universal shift of the magnetic field known as the Slater-Pauling curve is obtained from the effective Lagrangian.</div>\",\"PeriodicalId\":54712,\"journal\":{\"name\":\"Nuclear Physics B\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":2.5000,\"publicationDate\":\"2024-08-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://www.sciencedirect.com/science/article/pii/S0550321324002293/pdfft?md5=29e112f1de1b1ce3b311b8bcfaabb079&pid=1-s2.0-S0550321324002293-main.pdf\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Nuclear Physics B\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0550321324002293\",\"RegionNum\":3,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"PHYSICS, PARTICLES & FIELDS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Nuclear Physics B","FirstCategoryId":"101","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0550321324002293","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"PHYSICS, PARTICLES & FIELDS","Score":null,"Total":0}

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。

查看原文本刊更多论文

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.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

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.