All Questions
9
questions
1
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0
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42
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Deriving an alternating expression for Hall Conductivity
I was reading the paper (https://journals.aps.org/prb/abstract/10.1103/PhysRevB.31.3372) in which Thouless and Wu show that the hall conductivity is a topological invariant. My question is about the ...
- 1,778
0
votes
1
answer
187
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Deriving the non-abelian Berry connection
I'm slightly confused about a manipulation in Section 1.5.4 of Tong's notes on the Quantum Hall Effect.
This concerns the derivation of the non-abelian Berry phase.
Setup:
We have an $N$-dimensional ...
- 155
3
votes
1
answer
439
views
What's the relation between quantized Hall effects and topology materials?
The quantized Hall effects (ignoring fractional Hall effect) include:
Quantum Hall effect;
Quantum anomalous Hall effect;
Quantum spin Hall effect.
All these effects are just describing the ...
- 1,757
1
vote
2
answers
377
views
Topological phases of matter
So according to this, scientists have discovered more than 5 states of matter we usually had that is the solid, liquid, gases, and Bose-Einstein-Condensate, and plasma. So how many topological phases ...
- 11
10
votes
1
answer
268
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Is there any heat loss in chiral edge channels of topological insulators?
If we are working with nontrivial topological insulator with broken time reversal symmetry then we can expect that we have some chiral edge states. Chiral states have the property that the current can ...
- 1,795
1
vote
1
answer
360
views
Source Berry Curvature Chern Insulator
Why is there non-zero hall conductance for a Chern insulator?
From section 2.3 of Bernevig's book 'Topological insulators and topological superconductors' I learned one can view degeneracies are ...
- 13
0
votes
0
answers
65
views
Visualizing k-space tori in 3D
In many introductions to topological insulators (in the exposition of Haldane’s model, for example), we represent the parameter space, a torus, on a plane with axes running from $0$ to $2\pi$.
In an ...
- 591
3
votes
2
answers
800
views
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 ...
- 903
2
votes
0
answers
541
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Hall Conductance and Chern Number Sign Convention
I have a simple question regarding sign conventions pertaining to the Chern number and Hall conductance (and what seems to be inconsistencies in the literature).
In a 2D band insulator, the Chern ...
