Recent content by Minato
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Graduate Time reversal symmetry in Topological insulators of HgTe quantum Wells
You are right regarding this. I forgot to tell that all the parameters are real so you can remove the conjugation. But by no means, I have B_{+}=\pm B_{-}. I have come to know 2 ways to solve this problem. (1) First is, I am probably choosing wrong matrix for Time reversal transformations...- Minato
- Post #9
- Forum: Atomic and Condensed Matter
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M
Graduate Time reversal symmetry in Topological insulators of HgTe quantum Wells
Regarding the first point, it is A(k_x \pm i k_{y}) which will give the form I have earlier written.(k_{y}=-i \frac{\partial}{\partial y}) Regarding the second point, the system is fermionic. That is why, T^2=-1 is required. Regards Minato- Minato
- Post #6
- Forum: Atomic and Condensed Matter
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Graduate Time reversal symmetry in Topological insulators of HgTe quantum Wells
I am sorry for the formatting in the previous post. The original Hamiltonian for BHZ model used to describe HgTe quantum well Topological insulators is H=\left(\begin{array}{cc}h_{+}(k)&0\\0&{h_{-}(k)}\end{array}\right) {h_{-}(k)}=h_{+}^{*}(-k) here the meaning of * is to take the...- Minato
- Post #3
- Forum: Atomic and Condensed Matter
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M
Graduate Time reversal symmetry in Topological insulators of HgTe quantum Wells
Hi everyone, While reading about the BHZ model used to describe HgTe quantum well topological insulators, I read at many places that the effective Hamiltonian (which is a 4 x 4 matrix) can be written in block diagonal form and the lower 2x2 block can be derived from upper 2x2 block as...- Minato
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- Insulators Quantum Symmetry Time Time reversal Time reversal symmetry Topological Topological insulators
- Replies: 8
- Forum: Atomic and Condensed Matter