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

TL;DR

This paper demonstrates how bilinear conformal mapping can transform complex semiconductor-metal hybrid structures into more fabricable forms, enabling the creation of nanoscale devices with large extraordinary magnetoresistance effects.

Contribution

It introduces a novel application of bilinear conformal mapping to transform EMR structures for improved fabrication and extends the method's applicability to other generalized structures.

Findings

Mapped structures exhibit very large EMR values

Transformation enables fabrication of nanoscale EMR devices

Method applicable to various generalized structures

Abstract

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.