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docs(plovasp): add various fxies to PLOVasp documentation

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19
doc/guide/conv_vasp.rst
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@ -22,7 +22,7 @@ Interface with VASP
spin-polarized projectors have not been tested. spin-polarized projectors have not been tested.
A detailed description of the VASP converter tool PLOVasp can be found A detailed description of the VASP converter tool PLOVasp can be found
in :ref:`plovasp`. Here, a quick-start guide is presented. in the :ref:`PLOVasp User's Guide <plovasp>`. Here, a quick-start guide is presented.
The VASP interface relies on new options introduced since version The VASP interface relies on new options introduced since version
5.4.x. In particular, a new INCAR-option `LOCPROJ` 5.4.x. In particular, a new INCAR-option `LOCPROJ`
@ -55,11 +55,12 @@ harmonics are:
* `f`-states: `fy(3x2-y2)`, `fxyz`, `fyz2`, `fz3`, * `f`-states: `fy(3x2-y2)`, `fxyz`, `fyz2`, `fz3`,
`fxz2`, `fz(x2-y2)`, `fx(x2-3y2)`. `fxz2`, `fz(x2-y2)`, `fx(x2-3y2)`.
For projector type `Pr 2`, one should also set `LORBIT = 14` in INCAR For projector type `Pr 2`, one should also set `LORBIT = 14` in the INCAR file
and provide parameters `EMIN`, `EMAX` which, in this case, define an and provide parameters `EMIN`, `EMAX`, defining, in this case, an
energy range (window) corresponding to the valence states. Note that as in the case energy range (energy window) corresponding to the valence states.
of DOS calculation the position of the valence states depends on the Note that, as in the case
Fermi level. of a DOS calculation, the position of the valence states depends on the
Fermi level, which can usually be found at the end of the OUTCAR file.
For example, in case of SrVO3 one may first want to perform a self-consistent For example, in case of SrVO3 one may first want to perform a self-consistent
calculation, then set `ICHARGE = 1` and add the following additional calculation, then set `ICHARGE = 1` and add the following additional
@ -88,7 +89,7 @@ Post-processing of `LOCPROJ` data is generally done as follows:
#. Prepare an input file `<name>.cfg` (e.g., `plo.cfg`) that describes the definition #. Prepare an input file `<name>.cfg` (e.g., `plo.cfg`) that describes the definition
of your impurity problem (more details below). of your impurity problem (more details below).
#. Extract the value of the Fermi level from OUTCAR and paste at the end of #. Extract the value of the Fermi level from OUTCAR and paste it at the end of
the first line of LOCPROJ. the first line of LOCPROJ.
#. Run :program:`plovasp` with the input file as an argument, e.g.: #. Run :program:`plovasp` with the input file as an argument, e.g.:
@ -103,7 +104,7 @@ These files are needed for the converter that will be invoked in your
DMFT script. DMFT script.
The format of input file `<name>.cfg` is described in details in The format of input file `<name>.cfg` is described in details in
:ref:`plovasp`. Here we just give a simple example for the case the :ref:`User's Guide <plovasp>`. Here we just consider a simple example for the case
of SrVO3: of SrVO3:
.. literalinclude:: images_scripts/srvo3.cfg .. literalinclude:: images_scripts/srvo3.cfg
@ -119,7 +120,7 @@ parameters are required
- **EWINDOW**: energy window in which the projectors are normalized; - **EWINDOW**: energy window in which the projectors are normalized;
note that the energies are defined with respect to the Fermi level. note that the energies are defined with respect to the Fermi level.
Option **TRANSFORM** is optional but here it is specified to extract Option **TRANSFORM** is optional but here, it is specified to extract
only three :math:`t_{2g}` orbitals out of five `d` orbitals given by only three :math:`t_{2g}` orbitals out of five `d` orbitals given by
:math:`l = 2`. :math:`l = 2`.

111
doc/guide/plovasp.rst
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@ -3,35 +3,33 @@
PLOVasp PLOVasp
======= =======
The general purpose of the PLOVasp tool is to transform The general purpose of the PLOVasp tool is to transform raw, non-normalized
raw, non-normalized projectors generated by VASP into normalized projectors generated by VASP into normalized projectors corresponding to
projectors corresponding to user-defined projected localized orbitals (PLO). user-defined projected localized orbitals (PLO). The PLOs can then be used for
The PLOs can then be used for DFT+DMFT calculations with or without DFT+DMFT calculations with or without charge self-consistency. PLOVasp also
charge self-consistency. PLOVasp also provides some utilities provides some utilities for basic analysis of the generated projectors, such as
for basic analysis of the generated projectors, such as outputting outputting density matrices, local Hamiltonians, and projected density of
density matrices, local Hamiltonians, and projected states.
density of states.
PLOs are determined by the energy window in which the raw projectors PLOs are determined by the energy window in which the raw projectors are
are normalized. This allows to define either atomic-like strongly normalized. This allows to define either atomic-like strongly localized Wannier
localized Wannier functions (large energy window) or extended functions (large energy window) or extended Wannier functions focusing on
Wannier functions focusing on selected low-energy states (small selected low-energy states (small energy window).
energy window).
In PLOVasp all projectors sharing the same energy window are combined In PLOVasp, all projectors sharing the same energy window are combined into a
into a `projector group`. Technically, this allows one to define `projector group`. Technically, this allows one to define several groups with
several groups with different energy windows for the same set of different energy windows for the same set of raw projectors. Note, however,
raw projectors. Note, however, that DFTtools does not support projector that DFTtools does not support projector groups at the moment but this feature
groups at the moment but this feature might appear in future releases. might appear in future releases.
A set of projectors defined on sites realted to each other either by symmetry A set of projectors defined on sites related to each other either by symmetry
or by sort along with a set of :math:`l`, :math:`m` quantum numbers forms a or by an atomic sort, along with a set of :math:`l`, :math:`m` quantum numbers,
`projector shell`. There could be several projectors shells in a forms a `projector shell`. There could be several projectors shells in a
projector group, implying that they will be normalized within projector group, implying that they will be normalized within the same energy
the same energy window. window.
Projector shells and groups are specified by a user-defined input file Projector shells and groups are specified by a user-defined input file whose
whose format is described below. format is described below.
Input file format Input file format
----------------- -----------------
@ -43,7 +41,7 @@ Parameters (or 'options') are grouped into sections specified as
A PLOVasp input file can contain three types of sections: A PLOVasp input file can contain three types of sections:
#. **[General]**: includes parameters that are independent #. **[General]**: includes parameters that are independent
of a particular projector set, such as the Fermi level, additional of a particular projector set, such as the Fermi level, additional
output (e.g. the density of states), etc. output (e.g. the density of states), etc.
#. **[Group <Ng>]**: describes projector groups, i.e. a set of #. **[Group <Ng>]**: describes projector groups, i.e. a set of
projectors sharing the same energy window and normalization type. projectors sharing the same energy window and normalization type.
@ -51,8 +49,8 @@ A PLOVasp input file can contain three types of sections:
there should be no more than one projector group. there should be no more than one projector group.
#. **[Shell <Ns>]**: contains parameters of a projector shell labelled #. **[Shell <Ns>]**: contains parameters of a projector shell labelled
with `<Ns>`. If there is only one group section and one shell section, with `<Ns>`. If there is only one group section and one shell section,
the group section can be omitted and its required parameters can be the group section can be omitted but in this case, the group required
given inside the single shell section. parameters must be provided inside the shell section.
Section [General] Section [General]
""""""""""""""""" """""""""""""""""
@ -61,24 +59,24 @@ The entire section is optional and it contains three parameters:
* **BASENAME** (string): provides a base name for output files. * **BASENAME** (string): provides a base name for output files.
Default filenames are :file:`vasp.*`. Default filenames are :file:`vasp.*`.
* **DOSMESH** ([float float] integer): if this parameter is given * **DOSMESH** ([float float] integer): if this parameter is given,
projected density of states for each projected orbital will be the projected density of states for each projected orbital will be
evaluated and stored to files :file:`pdos_<n>.dat`, where `n` is the evaluated and stored to files :file:`pdos_<n>.dat`, where `n` is the
orbital number. The energy orbital index. The energy
mesh is defined by three numbers: `EMIN` `EMAX` `NPOINTS`. The first two mesh is defined by three numbers: `EMIN` `EMAX` `NPOINTS`. The first two
can be omitted in which case they are taken to be equal to the projector can be omitted in which case they are taken to be equal to the projector
energy window. **Important note**: at the moment this option works energy window. **Important note**: at the moment this option works
only if the tetrahedron integration method (`ISMEAR = -4` or `-5`) only if the tetrahedron integration method (`ISMEAR = -4` or `-5`)
is used in VASP to produce `LOCPROJ`. is used in VASP to produce `LOCPROJ`.
* **EFERMI** (float): provides the Fermi level. This value overrides * **EFERMI** (float): provides the Fermi level. This value overrides
the one extracted from VASP output files. the one extracted from VASP output files.
There are no required parameters in this section. There are no required parameters in this section.
Section [Shell] Section [Shell]
""""""""""""""" """""""""""""""
This section specifies a projector shell. Each shell section must be This section specifies a projector shell. Each `[Shell]` section must be
labeled by an index, e.g. `[Shell 1]`. These indices can then be referenced labeled by an index, e.g. `[Shell 1]`. These indices can then be referenced
in a `[Group]` section. in a `[Group]` section.
@ -87,17 +85,17 @@ In each `[Shell]` section two parameters are required:
* **IONS** (list of integer): indices of sites included in the shell. * **IONS** (list of integer): indices of sites included in the shell.
The sites can be given either by a list of integers `IONS = 5 6 7 8` The sites can be given either by a list of integers `IONS = 5 6 7 8`
or by a range `IONS = 5..8`. The site indices must be compatible with or by a range `IONS = 5..8`. The site indices must be compatible with
POSCAR file. the POSCAR file.
* **LSHELL** (integer): :math:`l` quantum number of the desired local states. * **LSHELL** (integer): :math:`l` quantum number of the desired local states.
It is important that a given combination of site indices and local states It is important that a given combination of site indices and local states
given by `LSHELL` must be present in LOCPROJ file. given by `LSHELL` must be present in the LOCPROJ file.
There are additional optional parameters that allow one to transform There are additional optional parameters that allow one to transform
the local states: the local states:
* **TRANSFORM** (matrix): local transformation matrix applied to all states * **TRANSFORM** (matrix): local transformation matrix applied to all states
in the projector shell. The matrix is defined by (multiline) block in the projector shell. The matrix is defined by a (multiline) block
of floats, with each line corresponding to a row. The number of columns of floats, with each line corresponding to a row. The number of columns
must be equal to :math:`2 l + 1`, with :math:`l` given by `LSHELL`. Only real matrices must be equal to :math:`2 l + 1`, with :math:`l` given by `LSHELL`. Only real matrices
are allowed. This parameter can be useful to select certain subset of are allowed. This parameter can be useful to select certain subset of
@ -105,14 +103,14 @@ the local states:
* **TRANSFILE** (string): name of the file containing transformation * **TRANSFILE** (string): name of the file containing transformation
matrices for each site. This option allows for a full-fledged functionality matrices for each site. This option allows for a full-fledged functionality
when it comes to local state transformations. The format of this file when it comes to local state transformations. The format of this file
is described in :ref:`transformation_file`. is described :ref:`below <transformation_file>`.
Section [Group] Section [Group]
""""""""""""""" """""""""""""""
Each defined projector shell must be part of a projector group. In the current Each defined projector shell must be part of a projector group. In the current
implementation of DFTtools only a single group is supported which can be implementation of DFTtools only a single group (labelled by any integer, e.g. `[Group 1]`)
labeled by any integer, e.g. `[Group 1]`. This implies that all projector shells is supported. This implies that all projector shells
must be included in this group. must be included in this group.
Required parameters for any group are the following: Required parameters for any group are the following:
@ -121,18 +119,19 @@ Required parameters for any group are the following:
All defined shells must be grouped. All defined shells must be grouped.
* **EWINDOW** (float float): the energy window specified by two floats: bottom * **EWINDOW** (float float): the energy window specified by two floats: bottom
and top. All projectors in the current group are going to be normalized within and top. All projectors in the current group are going to be normalized within
this window. this window. *Note*: This option must be specified inside the `[Shell]` section
if only one shell is defined and the `[Group]` section is omitted.
Optional group parameters: Optional group parameters:
* **NORMALIZE** (True/False): specifies whether projectors in the group are * **NORMALIZE** (True/False): specifies whether projectors in the group are
to be noramlized. The default value is **True**. to be normalized. The default value is **True**.
* **NORMION** (True/False): specifies whether projectors are normalized on * **NORMION** (True/False): specifies whether projectors are normalized on
a per-site (per-ion) basis. That is, if `NORMION = True` the orthogonality a per-site (per-ion) basis. That is, if `NORMION = True`, the orthogonality
condition will be enforced on each site separately but the Wannier functions condition will be enforced on each site separately but the Wannier functions
on different sites will not be orthogonal. If `NORMION = False` Wannier functions on different sites will not be orthogonal. If `NORMION = False`, the Wannier functions
on different sites included in the group will be orthogonal to each other. on different sites included in the group will be orthogonal to each other.
.. _transformation_file: .. _transformation_file:
@ -140,15 +139,29 @@ File of transformation matrices
""""""""""""""""""""""""""""""" """""""""""""""""""""""""""""""
.. warning:: .. warning::
The description below applies only to collinear cases (i.e. without spin-orbit The description below applies only to collinear cases (i.e., without spin-orbit
coupling). In this case the matrices are spin-independent. coupling). In this case, the matrices are spin-independent.
The file specified by option `TRANSFILE` contains transformation matrices The file specified by option `TRANSFILE` contains transformation matrices
for each ion. Each line must contain a series of floats whose number is either equal to for each ion. Each line must contain a series of floats whose number is either equal to
the number of orbitals :math:`N_{orb}` (in this case the transformation matrices the number of orbitals :math:`N_{orb}` (in this case the transformation matrices
are assumed to be real) or to :math:`2 N_{orb}` (for the complex transformation matrices). are assumed to be real) or to :math:`2 N_{orb}` (for the complex transformation matrices).
The number of lines :math:`N` must be a multiple of the number of ions :math:`N_{ion}` The total number of lines :math:`N` must be a multiple of the number of ions :math:`N_{ion}`
and the ratio :math:`N / N_{ion}`, then, gives the dimension of the transformed and the ratio :math:`N / N_{ion}`, then, gives the dimension of the transformed
orbital space. The lines with floats can be separated by any number of empty or orbital space. The lines with floats can be separated by any number of empty or
comment lines which are ignored. comment lines (starting from `#`), which are ignored.
A very simple example is a transformation matrix that selects the :math:`t_{2g}` manifold.
For two correlated sites, one can define the file as follows:
::
# Site 1
1.0 0.0 0.0 0.0 0.0
0.0 1.0 0.0 0.0 0.0
0.0 0.0 0.0 1.0 0.0
# Site 2
1.0 0.0 0.0 0.0 0.0
0.0 1.0 0.0 0.0 0.0
0.0 0.0 0.0 1.0 0.0