Application of novel graphene devices and topological insulators to quantum resistance metrology

This thesis deals with novel devices in the field of quantum resistance metrology. New ladder networks of graphene quantum Hall effect devices can be used as quantized high-resistance standards, which can reduce the uncertainty in calibration of high resistances using dual source bridges. The study of the behavior of magnetically doped topological insulators enables the study of quantization conditions and breakdown mechanisms. Such devices exhibit quantum anomalous Hall effect and could establish themselves as resistance standards without external magnetic fields. These developments are key to provide a foundation for further exploration and potential breakthroughs in the field of quantum resistance metrology.