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Hall-Effect Sign Inversion in a Realizable 3D Metamaterial

机译:可实现的3D超材料中的霍尔效应符号反演

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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.
机译:在2009年,Briane和Milton用数学方法证明了三维各向同性超材料的存在,其经典霍尔系数相对于所有超材料成分的系数为负。在这里,我们显着简化了它们在仅由单组分材料在真空或空气中组成的体系结构的蓝图,这可以看作是一种特殊的孔隙率。我们用数字显示,霍尔电压的符号由相邻托里尔之间的分离参数确定。即使仅少量的超材料单元格,这种定性行为也是可靠的。简化和鲁棒性的结合带来了对这种引人注目的符号倒置的实验验证。此外,我们提供了对潜在物理机制的简单直观解释。

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