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arXiv · 1503.06118

Hall-effect sign-inversion in a realizable 3D metamaterial

Muamer Kadic·Robert Schittny·Tiemo Bückmann·Christian Kern·Martin Wegener
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Abstract

In 2009, Briane and Milton proved mathematically the existence of three-dimensional isotropic metamaterials with a classical Hall coefficient which is negative with respect to that of all of the metamaterial constituents. Here, we significantly simplify their blueprint towards an architecture composed of only a single constituent material in vacuum/air, which can be seen as a special type of porosity. We show that the sign of the Hall voltage is determined by a separation parameter between adjacent tori. This qualitative behavior is robust even for only a small number of metamaterial unit cells. The combination of simplification and robustness brings experimental verifications of this striking sign-inversion into reach.

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Muamer Kadic, Robert Schittny, Tiemo Bückmann, Christian Kern, Martin Wegener. 2015-03-20. Hall-effect sign-inversion in a realizable 3D metamaterial. https://arxiv.org/abs/1503.06118

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