All Questions
Tagged with topological-insulators quantum-hall-effect
6
questions
28
votes
5
answers
5k
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Simple models that exhibit topological phase transitions
There are a number of physical systems with phases described by topologically protected invariants (fractional quantum Hall, topological insulators) but what are the simplest mathematical models that ...
- 5,415
10
votes
1
answer
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Derivation of Kubo Formula for Hall Conductance
I am trying to derive the result of the TKNN formula but am experiencing difficulty in deriving the Kubo formula. The Kubo formula used in the TKNN paper is,
$$ \sigma_{xy}= \frac{ie^2}{\hbar} \sum_{E^...
- 369
7
votes
2
answers
5k
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Why bulk states in quantum hall effect do not contribute to electric conductivity
Most reviews and textbooks explain quantum hall effect as insulating bulk states and conducting edge states, as is shown in the following picture.
My question is: why bulk states are insulating in ...
- 1,431
7
votes
1
answer
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How to show that Chern number gives the amount of edge states?
When talking about topological insulator and talking about bulk-edge correspondence, it seems to be widely accepted conclusion that the band Chern number (winding number) is equal to, when the ...
6
votes
3
answers
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Whis is the difference between charge fractionalization in 1D and 2D?
Both 1D Polyacetelene and 2D fractional quantum Hall state can support fractional excitations.
But as I can see, there are some differences: the ground state of Polyacetelene breaks translational ...
- 181
3
votes
2
answers
800
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Questions about Berry Phase
I'm learning about the Berry Phase from the original paper, and from the TIFR Infosys Lectures The Quantum Hall Effect by David Tong (2016).
I have some questions regarding the original derivation of ...
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