From classical Hall effects to quantum Hall effects

What is it about?

Starting from the classical Hall effects, this review first introduces the technique how to apply quantum mechanics to study a Hall effect in two dimensions. Then various quantum Hall effects and topological invariants existence in them are introduced.

Featured Image

Photo by Bozhin Karaivanov on Unsplash

Photo by Bozhin Karaivanov on Unsplash

Why is it important?

Topological materials, which can date back to the quantum Hall effects, is a highly popular topic in condensed matter physics. However, most textbooks of college physics introduce only the knowledge of classical Hall effects, failing to extend the scope to the latest progress of modern quantum and topological physics. This paper severs as an attempt to fill the gap.

Perspectives

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We hope this atricle provide a way for the undergraduate and postgraduate students to launch from college physics to access the cutting edge of the current international research on topological materials.

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