All Questions
3
questions
4
votes
1
answer
391
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Why one can observe Quantum Hall Effect in 3D Topological Insulators in an external magnetic field when TRS is broken?
In magnetotransport experiments scientists have observed the Quantum Hall effect in 3D topolgical insulators. Using a standard hall-bar geaometry in an external magnetic field they see plateaus in the ...
- 93
1
vote
1
answer
150
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What are the implications that the Hamiltonian of a material lacks time reversal symmetry?
When reading about topological insulators and the quantum Hall effect, I've read that some Hamiltonians of the crystal structure representing the "materials" lack time reversal symmetry. My question ...
1
vote
0
answers
128
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Does any Hamiltonian that breaks time-reversal symmetry is isomorphic to a IQHE
The bulk Hamiltonian of the 2D Chern insulator in is given by
\begin{equation}
H=\sin k_{x}\sigma^{x}+\sin k_{y}\sigma^{y}+(2-m-\cos k_{x}-\cos k_{y})\sigma^{z}
\end{equation}
This Hamiltonian breaks ...
- 177