What references have you found so far? It would help to see what you have found, so we don't duplicate the searching that you have done already.chow_dhury said:Summary: I need good resources on Quantum Hall Effect and quantum spin hall effect.
I need them short. I need them so I can understand the basics of topological insulator and semi-metal.
I found S Taylor, 2015; and S Meng, 2018.berkeman said:What references have you found so far? It would help to see what you have found, so we don't duplicate the searching that you have done already.
Also, you have marked this thread with the "A" prefix, which implies that you want references at the Advanced Graduate Physics level. Is that correct? Your other thread had the prefix changed from "A" to "B" (Basic) based on the question and your one reply in that thread:
https://www.physicsforums.com/threads/condensed-matter-physics.1016222/
The Quantum Hall Effect is a phenomenon that occurs in two-dimensional electron systems at low temperatures and high magnetic fields. It is characterized by the quantization of the Hall resistance, meaning that the resistance of the material changes in discrete steps rather than continuously. This effect is a result of the topological properties of the material.
Topological insulators are materials that behave as insulators in their bulk, but have conducting surface states. These surface states are topologically protected, meaning that they cannot be easily destroyed by impurities or defects. This makes topological insulators ideal for applications in quantum computing and spintronics.
Topological insulators have a unique electronic band structure that gives rise to conducting surface states. In regular insulators, the band structure is such that there are no conducting states at the surface. Additionally, topological insulators are robust against disorder and impurities, while regular insulators can become conducting in the presence of defects.
Semi-metals, also known as semi-conductors, are materials that have properties between those of metals and insulators. They have a band gap that is smaller than that of insulators, but larger than that of metals. This allows them to have some conducting properties, but not as much as metals. Semi-metals are commonly used in electronic devices such as transistors and diodes.
The Quantum Hall Effect is a topological phenomenon that is observed in certain materials, including topological insulators and semi-metals. These materials have unique electronic properties that give rise to the quantization of the Hall resistance. The study of the Quantum Hall Effect has led to a better understanding of the topological properties of these materials and their potential applications in quantum computing and other fields.