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Theory of the Hall effect in three-dimensional metamaterials

Kern, Christian 1,2; Milton, Graeme W.; Kadic, Muamer 1,2; Wegener, Martin 1,2
1 Institut für Angewandte Physik (APH), Karlsruher Institut für Technologie (KIT)
2 Institut für Nanotechnologie (INT), Karlsruher Institut für Technologie (KIT)


We apply homogenization theory to calculate the effective electric conductivity and Hall coefficient tensor of passive three-dimensionally periodic metamaterials subject to a weak external static homogeneous magnetic field. We not only allow for variations of the conductivity and the Hall coefficient of the constituent material(s) within the metamaterial unit cells, but also for spatial variations of the magnetic permeability. We present four results. First, our findings are consistent with previous numerical calculations for finite-size structures as well as with recent experiments. This provides a sound theoretical justification for describing such metamaterials in terms of effective material parameters. Second, we visualize the cofactor fields appearing in the homogenization integrals. Thereby, we identify those parts of the metamaterial structures which are critical for the observed effective metamaterial parameters, providing a unified view onto various previously introduced single-constituent/multiple-constituent and isotropic/anisotropic architectures, respectively. Third, we suggest a novel three-dimensional non-magnetic metamaterial architecture exhibiting a sign reversal of the effective isotropic Hall coefficient. ... mehr

Verlagsausgabe §
DOI: 10.5445/IR/1000085834
Veröffentlicht am 24.09.2018
DOI: 10.1088/1367-2630/aad92b
Zitationen: 7
Web of Science
Zitationen: 6
Zitationen: 9
Cover der Publikation
Zugehörige Institution(en) am KIT Institut für Angewandte Physik (APH)
Institut für Nanotechnologie (INT)
Universität Karlsruhe (TH) – Interfakultative Einrichtungen (Interfakultative Einrichtungen)
Karlsruhe School of Optics & Photonics (KSOP)
Publikationstyp Zeitschriftenaufsatz
Publikationsjahr 2018
Sprache Englisch
Identifikator ISSN: 1367-2630
KITopen-ID: 1000085834
HGF-Programm 43.23.01 (POF III, LK 01) Advanced Optical Lithography+Microscopy
Erschienen in New journal of physics
Verlag Institute of Physics Publishing Ltd (IOP Publishing Ltd)
Band 20
Heft 8
Seiten 083034
Bemerkung zur Veröffentlichung Gefördert durch den KIT-Publikationsfonds
Vorab online veröffentlicht am 23.08.2018
Nachgewiesen in Dimensions
Web of Science
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