Hamiltonian matrix element in k-space

[Simba2805]

Dear Developers,

May I know, that wannier90 provides the Hamiltonian matrix elements in real space only or it also provides them in k space? As far as I know, the wannier90 writes the Hamiltonian in the hr.dat file.

My questions are: (1) If it does not provide in k-space, what is the method to get it? Where do I get the lattice vectors (R) and k-vectors to do a Fourier transform? The first three columns in the hr.dat file are the lattice vectors? The first few lines of the hr.dat file are

written on 22May2022 at 16:44:06 8 231 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 .... 1 1 1 1 1 1 -9 -5 0 1 1 0.001065 0.000003 -9 -5 0 2 1 -0.001595 -0.001326 -9 -5 0 3 1 -0.000971 -0.001890 -9 -5 0 4 1 -0.000957 -0.000914 ....

The last two columns are the real and imaginary parts of the matrix elements in the Hamiltonian. What are the first three columns? is it R? I will also need k vectors, for the Fourier transform, where do I get them?

(2) My projected bands from the Wannier90 calculations are well fitted with the DFT bands, still, I have a sizeable imaginary part in the matrix elements. Is it wrong that the imaginary parts of the matrix elements are not zero?