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...
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
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...
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...