HallEffect Sign Inversion in a Realizable 3D Metamaterial
Abstract
In 2009, Briane and Milton proved mathematically the existence of threedimensional 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 singleconstituent 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.
 Publication:

Physical Review X
 Pub Date:
 April 2015
 DOI:
 10.1103/PhysRevX.5.021030
 arXiv:
 arXiv:1503.06118
 Bibcode:
 2015PhRvX...5b1030K
 Keywords:

 41.20.Cv;
 Electrostatics;
 Poisson and Laplace equations boundaryvalue problems;
 Condensed Matter  Materials Science;
 Condensed Matter  Mesoscale and Nanoscale Physics;
 Physics  Classical Physics
 EPrint:
 9 figures, 7 pages