The FATBANDS.nc file

The FATBANDS.nc file#

The FATBANDS.nc file contains the projection of the KS wavefunctions onto atom-centered functions with given angular momentum \(l\). The file is generated by using the prtdos variable either in a SCF or NSCF run. One can use the abiopen function provided by abilab to open the file and generate an instance of FatbandsFile. Alternatively, use the abiopen.py script to open the file inside the shell with the syntax:

abiopen.py out_FATBANDS.nc

This command will start the ipython interpreter so that one can interact directly with the FatbandFile object (named abifile inside ipython). To generate a jupyter notebook use:

abiopen.py out_FATBANDS.nc -nb

For a quick visualization of the data, use:

abiopen.py out_FATBANDS.nc -e

Note

AbiPy provides two different APIs to produce figures either with matplotlib or with plotly. In this tutorial, we will use the plotly API as much as possible although it should be noted that not all the plotting methods have been yet ported to plotly. AbiPy uses a relatively simple rule to differentiate between the two plotting libraries: if an object provides an obj.plot method producing a matplotlib plot, the corresponding plotly version (if any) is named obj.plotly. Note that plotly requires a web browser hence the matplotlib version is still valuable if you need to visualize results on machines in which only the X-server is available.

import warnings
warnings.filterwarnings("ignore")  # Ignore warnings

from abipy import abilab
abilab.enable_notebook() # This line tells AbiPy we are running inside a notebook
import abipy.data as abidata

# This line configures matplotlib to show figures embedded in the notebook.
# Replace `inline` with `notebook` in classic notebook
%matplotlib inline

# Option available in jupyterlab. See https://github.com/matplotlib/jupyter-matplotlib
#%matplotlib widget
# This fatbands file has been produced on a k-path so it is not suitable for DOS calculations.
fbnc_kpath = abilab.abiopen(abidata.ref_file("mgb2_kpath_FATBANDS.nc"))

To print file info i.e., dimensions, variables, etc. (note that prtdos = 3, so LM decomposition is not available)

print(fbnc_kpath)
================================= File Info =================================
Name: mgb2_kpath_FATBANDS.nc
Directory: /usr/share/miniconda/envs/abipy/lib/python3.12/site-packages/abipy/data/refs/mgb2_fatbands
Size: 149.01 kB
Access Time: Sun Oct 27 17:41:50 2024
Modification Time: Sun Oct 27 17:40:35 2024
Change Time: Sun Oct 27 17:40:35 2024

================================= Structure =================================
Full Formula (Mg1 B2)
Reduced Formula: MgB2
abc   :   3.086000   3.086000   3.523000
angles:  90.000000  90.000000 120.000000
pbc   :       True       True       True
Sites (3)
  #  SP           a         b    c
---  ----  --------  --------  ---
  0  Mg    0         0         0
  1  B     0.333333  0.666667  0.5
  2  B     0.666667  0.333333  0.5

Abinit Spacegroup: spgid: 191, num_spatial_symmetries: 24, has_timerev: True, symmorphic: False

============================== Electronic Bands ==============================
================================= Structure =================================
Full Formula (Mg1 B2)
Reduced Formula: MgB2
abc   :   3.086000   3.086000   3.523000
angles:  90.000000  90.000000 120.000000
pbc   :       True       True       True
Sites (3)
  #  SP           a         b    c
---  ----  --------  --------  ---
  0  Mg    0         0         0
  1  B     0.333333  0.666667  0.5
  2  B     0.666667  0.333333  0.5

Abinit Spacegroup: spgid: 191, num_spatial_symmetries: 24, has_timerev: True, symmorphic: False

Number of electrons: 8.0, Fermi level: 8.700 (eV)
nsppol: 1, nkpt: 78, mband: 8, nspinor: 1, nspden: 1
smearing scheme: none (occopt 1), tsmear_eV: 0.272, tsmear Kelvin: 3157.7
Direct gap:
    Energy: 0.595 (eV)
    Initial state: spin: 0, kpt: [+0.350, +0.300, +0.000], band: 3, eig: 8.402, occ: 2.000
    Final state:   spin: 0, kpt: [+0.350, +0.300, +0.000], band: 4, eig: 8.997, occ: 0.000
Fundamental gap:
    Energy: 0.058 (eV)
    Initial state: spin: 0, kpt: K [+0.333, +0.333, +0.000], band: 4, eig: 8.700, occ: 0.000
    Final state:   spin: 0, kpt: [+0.147, +0.000, +0.000], band: 4, eig: 8.758, occ: 0.000
Bandwidth: 14.314 (eV)
Valence maximum located at kpt index 27:
    spin: 0, kpt: K [+0.333, +0.333, +0.000], band: 4, eig: 8.700, occ: 0.000
Conduction minimum located at kpt index 5:
    spin: 0, kpt: [+0.147, +0.000, +0.000], band: 4, eig: 8.758, occ: 0.000

TIP: Use `--verbose` to print k-point coordinates with more digits

=============================== Fatbands Info ===============================
prtdos: 3, prtdosm: 0, mbesslang: 5, pawprtdos: 0, usepaw: 0
nsppol: 1, nkpt: 78, mband: 8

  Idx  Symbol    Reduced_Coords             Lmax    Ratsph [Bohr]  Has_Atom
-----  --------  -----------------------  ------  ---------------  ----------
    0  Mg        0.00000 0.00000 0.00000       4                2  Yes
    1  B         0.33333 0.66667 0.50000       4                2  Yes
    2  B         0.66667 0.33333 0.50000       4                2  Yes
fbnc_kpath.structure.plot();
---------------------------------------------------------------------------
AttributeError                            Traceback (most recent call last)
File /usr/share/miniconda/envs/abipy/lib/python3.12/site-packages/IPython/core/formatters.py:343, in BaseFormatter.__call__(self, obj)
    341     pass
    342 else:
--> 343     return printer(obj)
    344 # Finally look for special method names
    345 method = get_real_method(obj, self.print_method)

File /usr/share/miniconda/envs/abipy/lib/python3.12/site-packages/IPython/core/pylabtools.py:170, in print_figure(fig, fmt, bbox_inches, base64, **kwargs)
    167     from matplotlib.backend_bases import FigureCanvasBase
    168     FigureCanvasBase(fig)
--> 170 fig.canvas.print_figure(bytes_io, **kw)
    171 data = bytes_io.getvalue()
    172 if fmt == 'svg':

File /usr/share/miniconda/envs/abipy/lib/python3.12/site-packages/matplotlib/backend_bases.py:2175, in FigureCanvasBase.print_figure(self, filename, dpi, facecolor, edgecolor, orientation, format, bbox_inches, pad_inches, bbox_extra_artists, backend, **kwargs)
   2172     # we do this instead of `self.figure.draw_without_rendering`
   2173     # so that we can inject the orientation
   2174     with getattr(renderer, "_draw_disabled", nullcontext)():
-> 2175         self.figure.draw(renderer)
   2176 if bbox_inches:
   2177     if bbox_inches == "tight":

File /usr/share/miniconda/envs/abipy/lib/python3.12/site-packages/matplotlib/artist.py:95, in _finalize_rasterization.<locals>.draw_wrapper(artist, renderer, *args, **kwargs)
     93 @wraps(draw)
     94 def draw_wrapper(artist, renderer, *args, **kwargs):
---> 95     result = draw(artist, renderer, *args, **kwargs)
     96     if renderer._rasterizing:
     97         renderer.stop_rasterizing()

File /usr/share/miniconda/envs/abipy/lib/python3.12/site-packages/matplotlib/artist.py:72, in allow_rasterization.<locals>.draw_wrapper(artist, renderer)
     69     if artist.get_agg_filter() is not None:
     70         renderer.start_filter()
---> 72     return draw(artist, renderer)
     73 finally:
     74     if artist.get_agg_filter() is not None:

File /usr/share/miniconda/envs/abipy/lib/python3.12/site-packages/matplotlib/figure.py:3162, in Figure.draw(self, renderer)
   3159             # ValueError can occur when resizing a window.
   3161     self.patch.draw(renderer)
-> 3162     mimage._draw_list_compositing_images(
   3163         renderer, self, artists, self.suppressComposite)
   3165     renderer.close_group('figure')
   3166 finally:

File /usr/share/miniconda/envs/abipy/lib/python3.12/site-packages/matplotlib/image.py:132, in _draw_list_compositing_images(renderer, parent, artists, suppress_composite)
    130 if not_composite or not has_images:
    131     for a in artists:
--> 132         a.draw(renderer)
    133 else:
    134     # Composite any adjacent images together
    135     image_group = []

File /usr/share/miniconda/envs/abipy/lib/python3.12/site-packages/matplotlib/artist.py:72, in allow_rasterization.<locals>.draw_wrapper(artist, renderer)
     69     if artist.get_agg_filter() is not None:
     70         renderer.start_filter()
---> 72     return draw(artist, renderer)
     73 finally:
     74     if artist.get_agg_filter() is not None:

File /usr/share/miniconda/envs/abipy/lib/python3.12/site-packages/mpl_toolkits/mplot3d/axes3d.py:441, in Axes3D.draw(self, renderer)
    437 zorder_offset = max(axis.get_zorder()
    438                     for axis in self._axis_map.values()) + 1
    439 collection_zorder = patch_zorder = zorder_offset
--> 441 for artist in sorted(collections_and_patches,
    442                      key=lambda artist: artist.do_3d_projection(),
    443                      reverse=True):
    444     if isinstance(artist, mcoll.Collection):
    445         artist.zorder = collection_zorder

File /usr/share/miniconda/envs/abipy/lib/python3.12/site-packages/mpl_toolkits/mplot3d/axes3d.py:442, in Axes3D.draw.<locals>.<lambda>(artist)
    437 zorder_offset = max(axis.get_zorder()
    438                     for axis in self._axis_map.values()) + 1
    439 collection_zorder = patch_zorder = zorder_offset
    441 for artist in sorted(collections_and_patches,
--> 442                      key=lambda artist: artist.do_3d_projection(),
    443                      reverse=True):
    444     if isinstance(artist, mcoll.Collection):
    445         artist.zorder = collection_zorder

AttributeError: 'Arrow3D' object has no attribute 'do_3d_projection'
<Figure size 640x480 with 1 Axes>

To plot the k-points belonging to the path:

fbnc_kpath.ebands.kpoints.plotly();

To plot the electronic fatbands grouped by atomic type:

fbnc_kpath.plot_fatbands_typeview(tight_layout=True);
_images/43f4f875a5f99f5eb3fc87310f8c7b34a1a0555cf801672ac458ecd496369031.png
fbnc_kpath.plotly_fatbands_typeview();

To plot the electronic fatbands grouped by \(l\):

fbnc_kpath.plot_fatbands_lview(tight_layout=True);
_images/3e095e0efe12f260d08aa5b2c3418d92006f1782a46f52ecef0df96a934908e9.png
fbnc_kpath.plotly_fatbands_lview();

Now we read another FATBANDS.nc file produced on 18x18x18 k-mesh

fbnc_kmesh = abilab.abiopen(abidata.ref_file("mgb2_kmesh181818_FATBANDS.nc"))
print(fbnc_kpath)
================================= File Info =================================
Name: mgb2_kpath_FATBANDS.nc
Directory: /usr/share/miniconda/envs/abipy/lib/python3.12/site-packages/abipy/data/refs/mgb2_fatbands
Size: 149.01 kB
Access Time: Sun Oct 27 17:41:50 2024
Modification Time: Sun Oct 27 17:40:35 2024
Change Time: Sun Oct 27 17:40:35 2024

================================= Structure =================================
Full Formula (Mg1 B2)
Reduced Formula: MgB2
abc   :   3.086000   3.086000   3.523000
angles:  90.000000  90.000000 120.000000
pbc   :       True       True       True
Sites (3)
  #  SP           a         b    c
---  ----  --------  --------  ---
  0  Mg    0         0         0
  1  B     0.333333  0.666667  0.5
  2  B     0.666667  0.333333  0.5

Abinit Spacegroup: spgid: 191, num_spatial_symmetries: 24, has_timerev: True, symmorphic: False

============================== Electronic Bands ==============================
================================= Structure =================================
Full Formula (Mg1 B2)
Reduced Formula: MgB2
abc   :   3.086000   3.086000   3.523000
angles:  90.000000  90.000000 120.000000
pbc   :       True       True       True
Sites (3)
  #  SP           a         b    c
---  ----  --------  --------  ---
  0  Mg    0         0         0
  1  B     0.333333  0.666667  0.5
  2  B     0.666667  0.333333  0.5

Abinit Spacegroup: spgid: 191, num_spatial_symmetries: 24, has_timerev: True, symmorphic: False

Number of electrons: 8.0, Fermi level: 8.700 (eV)
nsppol: 1, nkpt: 78, mband: 8, nspinor: 1, nspden: 1
smearing scheme: none (occopt 1), tsmear_eV: 0.272, tsmear Kelvin: 3157.7
Direct gap:
    Energy: 0.595 (eV)
    Initial state: spin: 0, kpt: [+0.350, +0.300, +0.000], band: 3, eig: 8.402, occ: 2.000
    Final state:   spin: 0, kpt: [+0.350, +0.300, +0.000], band: 4, eig: 8.997, occ: 0.000
Fundamental gap:
    Energy: 0.058 (eV)
    Initial state: spin: 0, kpt: K [+0.333, +0.333, +0.000], band: 4, eig: 8.700, occ: 0.000
    Final state:   spin: 0, kpt: [+0.147, +0.000, +0.000], band: 4, eig: 8.758, occ: 0.000
Bandwidth: 14.314 (eV)
Valence maximum located at kpt index 27:
    spin: 0, kpt: K [+0.333, +0.333, +0.000], band: 4, eig: 8.700, occ: 0.000
Conduction minimum located at kpt index 5:
    spin: 0, kpt: [+0.147, +0.000, +0.000], band: 4, eig: 8.758, occ: 0.000

TIP: Use `--verbose` to print k-point coordinates with more digits

=============================== Fatbands Info ===============================
prtdos: 3, prtdosm: 0, mbesslang: 5, pawprtdos: 0, usepaw: 0
nsppol: 1, nkpt: 78, mband: 8

  Idx  Symbol    Reduced_Coords             Lmax    Ratsph [Bohr]  Has_Atom
-----  --------  -----------------------  ------  ---------------  ----------
    0  Mg        0.00000 0.00000 0.00000       4                2  Yes
    1  B         0.33333 0.66667 0.50000       4                2  Yes
    2  B         0.66667 0.33333 0.50000       4                2  Yes

and plot the \(l\)-PJDOS grouped by atomic type:

fbnc_kmesh.plot_pjdos_typeview(tight_layout=True);
_images/52feb5b0902ba6bcf72c12b485b4e4db89dfd009751c6592997bea1683df9e7e.png
fbnc_kmesh.plotly_pjdos_typeview();

Plot the L-PJDOS grouped by L:

fbnc_kmesh.plot_pjdos_lview(tight_layout=True);
_images/199d9d075dad42f07f3bb976cf824c9e3bd0942f4f24d350c2bc571bff0f483f.png
fbnc_kmesh.plotly_pjdos_lview();

Now we use the two netcdf files to produce plots with fatbands + PJDOSEs. The data for the DOS is taken from pjdosfile.

fbnc_kpath.plot_fatbands_with_pjdos(pjdosfile=fbnc_kmesh, view="type", tight_layout=True);
_images/fc4f9db08865d8db729e373ed5f170a67adc09ec6db6d7010fd431e31d348ea1.png
fbnc_kpath.plotly_fatbands_with_pjdos(pjdosfile=fbnc_kmesh, view="type");

fatbands + PJDOS grouped by L:

fbnc_kpath.plot_fatbands_with_pjdos(pjdosfile=fbnc_kmesh, view="lview", tight_layout=True);
_images/e40bedd38683b6ec415fc6ccd4d26d3d30c105e0a4528ead199fb3e1e0e5e444.png
fbnc_kpath.plotly_fatbands_with_pjdos(pjdosfile=fbnc_kmesh, view="lview");

Warning

Remember to close the files with:

fbnc_kpath.close()
fbnc_kmesh.close()