Theory of Hall Conductivity and Its Exact Relationship to Orbital Magnetic Susceptibility

IF 1.5 4区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Journal of the Physical Society of Japan Pub Date : 2023-12-15 DOI:10.7566/jpsj.93.013703
Masao Ogata
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Abstract

A new formula for Hall conductivity is derived in terms of retarded and advanced Green’s functions. It contains transport and thermodynamic contributions and the latter is shown to be closely related to the orbital magnetic susceptibility. The physical interpretation of this relationship is clarified. By studying the Hall coefficient, it is also shown that the thermodynamic contribution becomes dominant at the band edge of the Dirac electron system, where the transport contribution decreases as the carrier density vanishes.
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霍尔电导理论及其与轨道磁感应强度的精确关系
根据延迟和高级格林函数推导出霍尔电导率的新公式。它包含传输和热力学贡献,后者与轨道磁感应强度密切相关。这种关系的物理解释得到了澄清。通过对霍尔系数的研究,还证明了热力学贡献在狄拉克电子系统的带边缘占主导地位,而在带边缘,随着载流子密度的消失,传输贡献会减小。
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来源期刊
CiteScore
3.40
自引率
17.60%
发文量
325
审稿时长
3 months
期刊介绍: The papers published in JPSJ should treat fundamental and novel problems of physics scientifically and logically, and contribute to the development in the understanding of physics. The concrete objects are listed below. Subjects Covered JPSJ covers all the fields of physics including (but not restricted to) Elementary particles and fields Nuclear physics Atomic and Molecular Physics Fluid Dynamics Plasma physics Physics of Condensed Matter Metal, Superconductor, Semiconductor, Magnetic Materials, Dielectric Materials Physics of Nanoscale Materials Optics and Quantum Electronics Physics of Complex Systems Mathematical Physics Chemical physics Biophysics Geophysics Astrophysics.
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