A Quantum Hall Effect Basics: Topological Insulator & Semi-Metal

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The discussion focuses on seeking concise resources to understand the Quantum Hall Effect, topological insulators, and semi-metals. Participants are looking for references that are brief and accessible, ideally at an advanced graduate physics level. Specific papers by S. Taylor and S. Meng from 2015 and 2018 are mentioned as potential resources. The need for short videos or papers is emphasized, as the user cannot engage with longer texts at this time. Overall, the conversation highlights the challenge of finding suitable educational materials on complex topics in condensed matter physics.
chow_dhury
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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.
 
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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.
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/
 
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/
I found S Taylor, 2015; and S Meng, 2018.
I need to grasp the papers of my professor on topological Weyl semimetal. These are computational; right now I can't afford to study any text too longer than the aforementioned ones. If it's a video, a couple of hours would be fine.

The other post was about etymology, and I just found just one useful answer. I argue that's definitely not basic.
 
For the quantum state ##|l,m\rangle= |2,0\rangle## the z-component of angular momentum is zero and ##|L^2|=6 \hbar^2##. According to uncertainty it is impossible to determine the values of ##L_x, L_y, L_z## simultaneously. However, we know that ##L_x## and ## L_y##, like ##L_z##, get the values ##(-2,-1,0,1,2) \hbar##. In other words, for the state ##|2,0\rangle## we have ##\vec{L}=(L_x, L_y,0)## with ##L_x## and ## L_y## one of the values ##(-2,-1,0,1,2) \hbar##. But none of these...