[Wannier] questions about quantum anomalous Hall conductivity

[Menghao Wu]

Dear Wannier developers & experts,
I am trying to calculate quantum anomalous Hall conductivity by using VASP+Wannier90.x+postw90.x, may I ask some questions:

1. Why the unit of ahc Anomalous Hall conductivity is S/cm?   von Klitzing constant RK = h/e2 = 25812.807557Ω<http://en.wikipedia.org/wiki/Ohm_(unit)>, I think the unit of  [\sigma = \frac{I_\text{channel}}{V_\text{Hall}} = \nu \; \frac{e^2}{h},]   should be S or Ω<http://en.wikipedia.org/wiki/Ohm_(unit)>-1 in all previous report I read. Why this conductivity is S over a length?

2.  As I set in .win file:

fermi_energy_min = -2.685
fermi_energy_max = -2.485
berry = true
berry_task = ahc
berry_kmesh = 25 25 1
In the oupt  .ahc. file I get:

   -2.685000    -0.009966    -0.000345   -69.735021
   -2.675000    -0.005905    -0.002186   -89.967445
   -2.665000    -0.002600    -0.001902  -266.247099
   -2.655000     0.002155    -0.003784  -266.146173
......

   -2.495000     0.011176     0.013206    51.615581
   -2.485000     0.014227     0.010831    32.024074

But the grid of fermi energy is constantly 0.01eV no matter how I tune the fermi_energy min and max. I cannot find any tag in manual on making it denser. But I need a much denser plot to show the plateau of AHC.  Is there any tag setup that can make it denser？


3. Seems only wannier90-2.0 has postw90.x dealing with berry curvature, but as I first run vasp, it finishes without generating *eig,*mmn files, and if I then run wannier90, .werr comes out asking for *eig, *mmn files so I cannot continue.
   But for wannier90-1.2, the first step by vasp will generate *eig, *mmn files and everything goes smoothly.
   So the problem is, will it be ok I first run vasp+ wannier90.x in --1.2 version, and the use postw90.x in --2.0 version?
  Or is there anyway to solve the problems in the first step that vaspwannier90--2.0.0 cannot generate *eig,*mmn files?

4. It was reported that Wannier90 can be used to calculate the edge Green’s function of the semi-infinite lattice using the recursive method:
   http://pubs.acs.org/doi/full/10.1021/nl401147u

   But I cannot find such function in the manual. Is there any tag setup that can calculate edge state of semi-infinite systems?

Thank you very much and your help is highly appreciated!
Best regards
Wu









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