Extraordinary Phenomena in Semiconductor-Metal Hybrid Nanostructures Based on Bilinear Conformal Mapping

We have shown that bilinear conformal mapping can be used to transform 4-lead internally shunted EMR semiconductor-metal hybrid structures to galvanomagnetically equivalent externally shunted 4 lead structures. The latter are compatible with the fabrication of nanoscale EMR devices while the former are not. Mapped rectangular EMR van der Pauw plate exhibit very large EMR values in both macroscopic and nanoscopic form. We have also shown that the mapping procedure applied in the case of EMR will also be applicable to other generalized EXX structures.