The Progress of the Quantum Hall Effect

Abstract

Contemporarily, various novel phenomena related to quantum Hall effect and many extended versions of Hall effects were discovered. This big family of Hall effect has given rise to the development in many fields including condensed matter physics, and relevant research (e.g., topological insulators, topological superconductors), remains a hot topic nowadays. This paper will focus on the application of quantum Hall effect in state-of-art researches, especially in superconductor-related field. Information retrieve and literature analysis are the main methods used in this review. First, a brief introduction of the definition for different kinds of Hall effects will be given. Afterwards, applications of quantum Hall effect will be discussed, including an unconventional CDW discovered in a kamoge superconductor, Josephson Junction presenting a quantum Hall effect and the quantum anomalous Hall effect-based Josephson Junction. Subsequently, the limitations in these researches and problems remaining to be solved by further research will be shown. These researches have great significance in achieving quantum computation. Overall, these results shed light on guiding further studies for Hall effect.