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Cell[CellGroupData[{
Cell["Process the output of FPLO", "Section",
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  3.746010229120891*^9, 3.7460102306235943`*^9}}],

Cell["We now read the tight binding model into Mathematica. ", "Text",
 CellChangeTimes->{{3.707737267253893*^9, 3.707737287289624*^9}, {
  3.708053411927888*^9, 3.708053441779036*^9}, {3.746010236053726*^9, 
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Cell[CellGroupData[{

Cell["read package", "Subsection",
 CellChangeTimes->{{3.6537145394792433`*^9, 3.653714548739492*^9}}],

Cell["\<\
The functions used to import DFT and create tight binding bands are included \
in Quanty. Here I import the packages\
\>", "Text",
 CellChangeTimes->{{3.658846727263175*^9, 3.658846764198798*^9}},
 ExpressionUUID -> "c92c3bf9-b4b0-4ea6-a52e-a5eff8418073"],

Cell[BoxData[{
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  RowBox[{"Needs", "[", "\"\<Quanty`TightBinding`\>\"", "]"}], ";"}], "\n", 
 RowBox[{
  RowBox[{"Needs", "[", "\"\<Quanty`CrystalFieldTheory`\>\"", "]"}], 
  ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"Needs", "[", "\"\<Quanty`PlotTools`\>\"", "]"}], ";"}], "\n", 
 RowBox[{
  RowBox[{"Needs", "[", "\"\<Quanty`PointGroupSymmetry`\>\"", "]"}], 
  ";"}]}], "Input",
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Cell[CellGroupData[{

Cell["import FPLO", "Subsection",
 CellChangeTimes->{{3.6537145394792433`*^9, 3.653714563083465*^9}}],

Cell["\<\
Next I read the output of a DFT calculation. The function needs as an \
argument the path to the directory where the output of the DFT calculation is\
\
\>", "Text",
 CellChangeTimes->{{3.658846767983014*^9, 3.658846811045001*^9}}],

Cell[BoxData[
 RowBox[{
  RowBox[{"FPLO", "=", 
   RowBox[{"ReadFPLO", "[", 
    RowBox[{"NotebookDirectory", "[", "]"}], "]"}]}], ";"}]], "Input",
 CellChangeTimes->{{3.707735955693973*^9, 3.707735965325808*^9}, {
  3.7460100805967083`*^9, 3.746010114091536*^9}, {3.746010277125532*^9, 
  3.746010287249423*^9}, {3.7460103385492163`*^9, 3.746010341532688*^9}, {
  3.746010374654694*^9, 3.746010377750576*^9}, {3.7460104096820908`*^9, 
  3.7460104110299788`*^9}, {3.746780234862628*^9, 3.746780235907338*^9}},
 ExpressionUUID -> "94000661-811f-4bad-8c72-120a3b22abc5"],

Cell["\<\
Note that the import can take a few minutes. (Importing the data of the \
Wannier functions is slow)\
\>", "Text",
 CellChangeTimes->{{3.707737320204527*^9, 3.707737321140744*^9}, {
  3.707738320637507*^9, 3.707738348392189*^9}},
 ExpressionUUID -> "2a1889f9-a858-45b5-b48d-47b16469a929"]
}, Open  ]],

Cell[CellGroupData[{

Cell["Replot bands", "Subsection",
 CellChangeTimes->{{3.653714579891837*^9, 3.653714586084831*^9}, {
  3.707735718995359*^9, 3.707735719819298*^9}},
 ExpressionUUID -> "47d15f86-b471-4218-9782-afae91182e2d"],

Cell["\<\
The DFT calculation includes a calculation of the band-structure. Here I use \
the DFT output to make plots of the band-structure.\
\>", "Text",
 CellChangeTimes->{{3.658846822021393*^9, 3.6588468584608183`*^9}, {
  3.7077357040640583`*^9, 3.707735710011813*^9}},
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Cell[CellGroupData[{

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      RowBox[{"FPLO", "[", "\"\<BandEnergy\>\"", "]"}], ",", 
      RowBox[{"FPLO", "[", "\"\<Knames\>\"", "]"}], ",", 
      RowBox[{"-", "9"}], ",", "1.5"}], "]"}]}], ",", 
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Cell["\<\
Show bands using atomic orbitals and tightbinding - color according to atoms\
\>", "Subsection",
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Cell["\<\
Just like in xfbp one can look at the weights of orbitals represented in the \
bands. Being a script language one has full flexibility to define the \
relation between the orbitals in the band, color and thickness.\
\>", "Text",
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Cell["\<\
The basis of our Tight binding representation of the bands is given by \
(defined in =. wandef)\
\>", "Text",
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Cell["\<\
The Character of an eigenstate represents the projection of the eigen-state \
on each of these 8 basis orbitals. We can define a function that transfers \
the character (vector of length 8) to a color (RGB value) and a thickness.\
\>", "Text",
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Cell["\<\
If you plot the orbitals it is nice to have only a few atoms in the plot. \
Here I create a plot of one Ni atom and the 6 nearest neighbor O atoms\
\>", "Text",
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Cell[CellGroupData[{

Cell["plot orbitals - Ni", "Subsubsection",
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In order to plot the orbitals we define an iso surface value (0.05 electron \
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given by the phase of the wavefunction.\
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The previous section looked at the band-structure and tight binding \
representation in k-space. We can also look at the tight binding Hamiltonian \
in real space. If you want to know the hopping between two orbitals it is \
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Which is a function as the hopping strength depends on the distance between \
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The result of the function is a n by n matrix whereby n is the size of the \
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If we look at the hopping between the atoms without an additional lattice \
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Note that this does not show the nearest neighbor Ni - O interaction. \
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In order to find the nearest neighbor interaction we need to look at the \
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