Constructing Berry-Maxwell equations with Lorentz invariance and Gauss's law of Weyl monopoles in four-dimensional energy-momentum space
2024-08-21
发表期刊PHYSICAL REVIEW B (IF:3.2[JCR-2023],3.3[5-Year])
ISSN2469-9950
EISSN2469-9969
卷号110期号:7
发表状态已发表
DOI10.1103/PhysRevB.110.075139
摘要

We present the construction of a reciprocal electromagnetic field by extending the Berry curvatures into fourdimensional energy-momentum space. The resulting governing equations, termed Berry-Maxwell equations, are derived by incorporating Lorentz invariance to constrain the parameter space of energy-momentum. Notably, these Berry-Maxwell equations exhibit dual and self-dual structures compared to the Maxwell equations. The very existence of Berry-Maxwell equations is independent of the geometrical phase of matter waves, implying that they cannot be directly derived from the time-dependent Schr & ouml;dinger equation. Indeed, we find that the physical reality of this reciprocal electromagnetic field is rooted in the fundamental principles of special relativity and Gauss's law of Weyl monopoles. To validate our theory experimentally, we outline three effects for verification: (i) Lorentz boost of a Weyl monopole, (ii) reciprocal Thouless pumping, and (iii) plane-wave solutions of Berry-Maxwell's equations.

关键词Electromagnetic field effects Schrodinger equation Vector spaces Electromagnetics Energy momentum Gauss' Law Geometrical phase Governing equations Lorentz invariance Matter waves Momentum spaces Parameter spaces Self-dual
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收录类别SCI ; EI
语种英语
资助项目National Natural Science Foundation of China[2023X0201-417] ; Israel Science Foundation[1614/21]
WOS研究方向Materials Science ; Physics
WOS类目Materials Science, Multidisciplinary ; Physics, Applied ; Physics, Condensed Matter
WOS记录号WOS:001296381700002
出版者AMER PHYSICAL SOC
EI入藏号20243516964971
EI主题词Maxwell equations
EI分类号1201 ; 1201.2 ; 1301.1.4 ; 701 Electricity and Magnetism ; 701.1 Electricity: Basic Concepts and Phenomena ; 701.2 Magnetism: Basic Concepts and Phenomena
原始文献类型Journal article (JA)
文献类型期刊论文
条目标识符https://kms.shanghaitech.edu.cn/handle/2MSLDSTB/415544
专题物质科学与技术学院
物质科学与技术学院_PI研究组_潘义明组
通讯作者Pan, Yiming
作者单位
1.ShanghaiTech Univ, Sch Phys Sci & Technol, Shanghai 200031, Peoples R China
2.ShanghaiTech Univ, Ctr Transformat Sci, Shanghai 200031, Peoples R China
3.Bar Ilan Univ, Inst Nanotechnol & Adv Mat, Dept Phys, IL-52900 Ramat Gan, Israel
第一作者单位物质科学与技术学院;  上海科技大学
通讯作者单位物质科学与技术学院;  上海科技大学
第一作者的第一单位物质科学与技术学院
推荐引用方式
GB/T 7714
Pan, Yiming,Yin, Ruoyu. Constructing Berry-Maxwell equations with Lorentz invariance and Gauss's law of Weyl monopoles in four-dimensional energy-momentum space[J]. PHYSICAL REVIEW B,2024,110(7).
APA Pan, Yiming,&Yin, Ruoyu.(2024).Constructing Berry-Maxwell equations with Lorentz invariance and Gauss's law of Weyl monopoles in four-dimensional energy-momentum space.PHYSICAL REVIEW B,110(7).
MLA Pan, Yiming,et al."Constructing Berry-Maxwell equations with Lorentz invariance and Gauss's law of Weyl monopoles in four-dimensional energy-momentum space".PHYSICAL REVIEW B 110.7(2024).
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