Abstract
Through reading and organizing a large amount of literature, we have gained a certain understanding of the Hall Effect. Meanwhile, we have selected the Hall Effect at the macroscopic level, and the Quantum Hall Effect, Quantum Anomalous Hall Effect, and Quantum Spin Hall Effect at the quantum side as the research content of this paper. We first explain the principles of these four phenomena, then we summarize their discovery history and the latest research progress, introduce their applications, and finally, based on our comprehension and generalization of the literature, we give a summary and outlook. This paper is helpful for the in-depth study of phenomena such as Quantum Hall Effect and Quantum Anomalous Hall Effect from Hall Effect.
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