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Hall-Effect Sign Inversion in a Realizable 3D Metamaterial

Hall-Effect Sign Inversion in a Realizable 3D Metamaterial

M. Kadic, R. Schittny, T. Bückmann, C. Kern, and M. Wegener


Phys. Rev. X 5, 021030 (2015)

Date: 22.06.2015


In 2009, Briane and Milton proved mathematically the existence of three-dimensional isotropic metamaterials with a classical Hall coefficient that 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 or air, which can be seen as a special type of porosity. We show numerically 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 verification of this striking sign inversion into reach. Furthermore, we provide a simple intuitive explanation of the underlying physical mechanism.