2006/11/09 by Kikuo Cho, Cho, Kikuo
Earth and Planetary Sciences · Physics and Astronomy · #FOS: Physical sciences #High-pressure geophysics and materials #Materials Science (cond-mat.mtrl-sci) #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #cond-mat.mtrl-sci
paper · pdf · doi:10.48550/arxiv.cond-mat/0611235
22 pages, 2 figures. Two appendices are added for the fundamentals of Maxwell eqs. and for the derivation of microscopic constitutive equation. Sec.1 is rewritten to stress the motivation of this work. Three new ref's are added, and one of them is discussed in detail in Sec.3.2
openalex publication_date 2006/11/09 · arxiv created 2007/09/18 · openalex created_date 2024/04/10 · openalex updated_date 2026/07/28
Pointing out the incompleteness of conventional macroscopic Maxwell equations (M-eqs.), we propose a new form derived from the long wavelength approximation (LWA) of microscopic nonlocal response. From the general Hamilonian of matter and matter-EM field interaction (containing spin dependent terms due to relativistic correction), we first set up the simultaneous equations for microscopic "vector potential \VecA and induced current density \VecI", and then extract the macroscopic components by applying LWA. This leads to new macroscopic M-eqs. with a single macroscopic susceptibility χ\rm em(\Veck, ω) between \VecI and \VecA, which describes both electric and magnetic polarizations and their mutual interference in its fully quantum mechanical expression. In the absence of chirality and under the condition to use magnetic susceptibility defined with respect to \VecB, this scheme is shown to be equivalent to the conventional "ε and μ scheme". In the case of chiral symmetry, the phenomenological constitutive equations by Drude, Born and Fedorov cannot be justified by this microscopic approach. As a single susceptibility scheme of macroscopic M-eqs., this result is on an advanced level by its fully quantum mechanical description of the whole set of O(k0), O(k1) and O(k2) terms of susceptibility providing a consistent picture of such a scheme.