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# Sphinx build info version 1 | ||
# This file hashes the configuration used when building these files. When it is not found, a full rebuild will be done. | ||
config: 783f03ac2d303b081fba6b5a7e6fe0a8 | ||
tags: 645f666f9bcd5a90fca523b33c5a78b7 |
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manual/v3.5.2/en/html/_downloads/2230fa7451cede3854a6deef75032ce9/stan.in
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model = "Hubbard" | ||
lattice = "wannier90" | ||
a0w = 8 | ||
a0l = 0 | ||
a0h = 8 | ||
a1w = 0 | ||
a1l = 1 | ||
a1h = 0 | ||
a2w = 1 | ||
a2l = 0 | ||
a2h = 0 | ||
method = "TPQ" | ||
nelec = 8 | ||
exct = 1 | ||
cutoff_t = 0.5 | ||
cutoff_u = 1.0 | ||
cutoff_j = 0.02 |
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manual/v3.5.2/en/html/_downloads/39b79291a25a68995da77549bd533beb/stan.in
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model = "Hubbard" | ||
lattice = "wannier90" | ||
a0w = 2 | ||
a0l = 0 | ||
a0h = 2 | ||
a1w = 0 | ||
a1l = 2 | ||
a1h = 2 | ||
a2w = 1 | ||
a2l = 0 | ||
a2h = 0 | ||
method = "CG" | ||
2Sz = 0 | ||
nelec = 4 | ||
exct = 1 | ||
cutoff_t = 0.2 | ||
cutoff_u = 0.4 | ||
cutoff_j = 0.1 |
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manual/v3.5.2/en/html/_downloads/b1ec3039cdf0202e36301d36c1f37b1a/bands.in
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&BANDS | ||
prefix = 'sr2cuo3' | ||
lsym = .false. | ||
/ |
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manual/v3.5.2/en/html/_downloads/b37127883768c5403e364998cb94cc7f/respack.in
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&PARAM_CHIQW | ||
Num_freq_grid = 1 | ||
!Ecut_for_eps = | ||
flg_cRPA = 1 | ||
/ | ||
&PARAM_WANNIER | ||
N_wannier = 1 | ||
Lower_energy_window = 8 | ||
Upper_energy_window = 13 | ||
N_initial_guess = 1 | ||
/ | ||
dx2 0.2 0.500000 0.000000 0.50000 0.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 | ||
&PARAM_INTERPOLATION | ||
N_sym_points = 10 | ||
!dense = 20, 24, 28 | ||
/ | ||
0.50000 0.50000 -0.50000 | ||
0.49526 0.50474 -0.04267 | ||
0.72630 0.27370 -0.27370 | ||
0.50000 0.50000 -0.50000 | ||
0.00000 0.00000 0.00000 | ||
0.00000 0.00000 0.50000 | ||
0.04267 -0.04267 0.50474 | ||
0.27370 -0.27370 0.27370 | ||
0.00000 0.00000 0.00000 | ||
0.50000 0.00000 0.00000 | ||
&PARAM_VISUALIZATION | ||
flg_vis_wannier = 1, | ||
ix_vis_min = -1, | ||
ix_vis_max = 2, | ||
iy_vis_min = -1, | ||
iy_vis_max = 1, | ||
iz_vis_min = -1, | ||
iz_vis_max = 2 | ||
/ | ||
&PARAM_CALC_INT | ||
calc_ifreq = 1 | ||
ix_intJ_min = -1 | ||
ix_intJ_max = 1 | ||
iy_intJ_min = -1 | ||
iy_intJ_max = 1 | ||
iz_intJ_min = -1 | ||
iz_intJ_max = 1 | ||
/ |
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manual/v3.5.2/en/html/_downloads/b593b96ec06a24a051e56aa0df84bd84/nscf.in
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&CONTROL | ||
calculation = 'nscf' | ||
pseudo_dir = '../pseudo' | ||
wf_collect = .true. | ||
prefix = 'sr2cuo3' | ||
/ | ||
&SYSTEM | ||
ibrav = 0 | ||
nat = 6 | ||
ntyp = 3 | ||
ecutwfc = 30.000000 | ||
ecutrho = 240.000000 | ||
occupations = 'tetrahedra_opt' | ||
nbnd = 35 | ||
/ | ||
&ELECTRONS | ||
/ | ||
CELL_PARAMETERS angstrom | ||
-1.749305 1.955690 6.351200 | ||
1.749305 -1.955690 6.351200 | ||
1.749305 1.955690 -6.351200 | ||
ATOMIC_SPECIES | ||
Sr 87.620000 Sr_ONCV_PBE-1.0.upf | ||
Cu 63.546000 Cu_ONCV_PBE-1.0.upf | ||
O 15.999400 O_ONCV_PBE-1.0.upf | ||
ATOMIC_POSITIONS crystal | ||
Sr 0.851940 0.351940 0.500000 | ||
Sr 0.148060 0.648060 0.500000 | ||
Cu 0.500000 0.000000 0.500000 | ||
O 0.654110 0.154110 0.500000 | ||
O 0.345890 0.845890 0.500000 | ||
O 0.000000 0.000000 0.000000 | ||
K_POINTS automatic | ||
4 4 4 0 0 0 |
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manual/v3.5.2/en/html/_downloads/da167c3c214ea2b40788f448a3605d0b/band.in
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&CONTROL | ||
calculation = 'bands' | ||
pseudo_dir = '../pseudo' | ||
prefix = 'sr2cuo3' | ||
/ | ||
&SYSTEM | ||
ibrav = 0 | ||
nat = 6 | ||
ntyp = 3 | ||
ecutwfc = 30.000000 | ||
ecutrho = 240.000000 | ||
nbnd = 35 | ||
/ | ||
&ELECTRONS | ||
/ | ||
CELL_PARAMETERS angstrom | ||
-1.749305 1.955690 6.351200 | ||
1.749305 -1.955690 6.351200 | ||
1.749305 1.955690 -6.351200 | ||
ATOMIC_SPECIES | ||
Sr 87.620000 Sr_ONCV_PBE-1.0.upf | ||
Cu 63.546000 Cu_ONCV_PBE-1.0.upf | ||
O 15.999400 O_ONCV_PBE-1.0.upf | ||
ATOMIC_POSITIONS crystal | ||
Sr 0.851940 0.351940 0.500000 | ||
Sr 0.148060 0.648060 0.500000 | ||
Cu 0.500000 0.000000 0.500000 | ||
O 0.654110 0.154110 0.500000 | ||
O 0.345890 0.845890 0.500000 | ||
O 0.000000 0.000000 0.000000 | ||
K_POINTS crystal | ||
50 | ||
0.5000000000 0.5000000000 -0.5000000000 1.0 | ||
0.4994075000 0.5005925000 -0.4428337500 1.0 | ||
0.4988150000 0.5011850000 -0.3856675000 1.0 | ||
0.4982225000 0.5017775000 -0.3285012500 1.0 | ||
0.4976300000 0.5023700000 -0.2713350000 1.0 | ||
0.4970375000 0.5029625000 -0.2141687500 1.0 | ||
0.4964450000 0.5035550000 -0.1570025000 1.0 | ||
0.4958525000 0.5041475000 -0.0998362500 1.0 | ||
0.4952600000 0.5047400000 -0.0426700000 1.0 | ||
0.5337666667 0.4662333333 -0.0811750000 1.0 | ||
0.5722733333 0.4277266667 -0.1196800000 1.0 | ||
0.6107800000 0.3892200000 -0.1581850000 1.0 | ||
0.6492866667 0.3507133333 -0.1966900000 1.0 | ||
0.6877933333 0.3122066667 -0.2351950000 1.0 | ||
0.7263000000 0.2737000000 -0.2737000000 1.0 | ||
0.6810400000 0.3189600000 -0.3189600000 1.0 | ||
0.6357800000 0.3642200000 -0.3642200000 1.0 | ||
0.5905200000 0.4094800000 -0.4094800000 1.0 | ||
0.5452600000 0.4547400000 -0.4547400000 1.0 | ||
0.5000000000 0.5000000000 -0.5000000000 1.0 | ||
0.3333333333 0.3333333333 -0.3333333333 1.0 | ||
0.1666666667 0.1666666667 -0.1666666667 1.0 | ||
0.0000000000 0.0000000000 0.0000000000 1.0 | ||
0.0000000000 0.0000000000 0.0625000000 1.0 | ||
0.0000000000 0.0000000000 0.1250000000 1.0 | ||
0.0000000000 0.0000000000 0.1875000000 1.0 | ||
0.0000000000 0.0000000000 0.2500000000 1.0 | ||
0.0000000000 0.0000000000 0.3125000000 1.0 | ||
0.0000000000 0.0000000000 0.3750000000 1.0 | ||
0.0000000000 0.0000000000 0.4375000000 1.0 | ||
0.0000000000 0.0000000000 0.5000000000 1.0 | ||
0.0426700000 -0.0426700000 0.5047400000 1.0 | ||
0.0811750000 -0.0811750000 0.4662333333 1.0 | ||
0.1196800000 -0.1196800000 0.4277266667 1.0 | ||
0.1581850000 -0.1581850000 0.3892200000 1.0 | ||
0.1966900000 -0.1966900000 0.3507133333 1.0 | ||
0.2351950000 -0.2351950000 0.3122066667 1.0 | ||
0.2737000000 -0.2737000000 0.2737000000 1.0 | ||
0.2280833333 -0.2280833333 0.2280833333 1.0 | ||
0.1824666667 -0.1824666667 0.1824666667 1.0 | ||
0.1368500000 -0.1368500000 0.1368500000 1.0 | ||
0.0912333333 -0.0912333333 0.0912333333 1.0 | ||
0.0456166667 -0.0456166667 0.0456166667 1.0 | ||
0.0000000000 0.0000000000 0.0000000000 1.0 | ||
0.0833333333 0.0000000000 0.0000000000 1.0 | ||
0.1666666667 0.0000000000 0.0000000000 1.0 | ||
0.2500000000 0.0000000000 0.0000000000 1.0 | ||
0.3333333333 0.0000000000 0.0000000000 1.0 | ||
0.4166666667 0.0000000000 0.0000000000 1.0 | ||
0.5000000000 0.0000000000 -0.0000000000 1.0 |
33 changes: 33 additions & 0 deletions
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manual/v3.5.2/en/html/_downloads/fc8a03ca4d72a607207c9c468c338dd3/scf.in
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&CONTROL | ||
calculation = 'scf' | ||
pseudo_dir = '../pseudo' | ||
prefix = 'sr2cuo3' | ||
/ | ||
&SYSTEM | ||
ibrav = 0 | ||
nat = 6 | ||
ntyp = 3 | ||
ecutwfc = 30.000000 | ||
ecutrho = 240.000000 | ||
occupations = 'tetrahedra_opt' | ||
/ | ||
&ELECTRONS | ||
mixing_beta = 0.3 | ||
/ | ||
CELL_PARAMETERS angstrom | ||
-1.749305 1.955690 6.351200 | ||
1.749305 -1.955690 6.351200 | ||
1.749305 1.955690 -6.351200 | ||
ATOMIC_SPECIES | ||
Sr 87.620000 Sr_ONCV_PBE-1.0.upf | ||
Cu 63.546000 Cu_ONCV_PBE-1.0.upf | ||
O 15.999400 O_ONCV_PBE-1.0.upf | ||
ATOMIC_POSITIONS crystal | ||
Sr 0.851940 0.351940 0.500000 | ||
Sr 0.148060 0.648060 0.500000 | ||
Cu 0.500000 0.000000 0.500000 | ||
O 0.654110 0.154110 0.500000 | ||
O 0.345890 0.845890 0.500000 | ||
O 0.000000 0.000000 0.000000 | ||
K_POINTS automatic | ||
4 4 4 0 0 0 |
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*************** | ||
Acknowledgement | ||
*************** | ||
|
||
We would like to express our sincere gratitude to Prof. Hidetoshi Nishimori and Mr. Daisuke Tahara. | ||
Implementation of the Lanczos algorithm in :math:`{\mathcal H}\Phi` written in C is based on the | ||
pioneering diagonalization package TITPACK written in Fortran by Prof. Nishimori. | ||
For developing the user interface of :math:`{\mathcal H}\Phi`, we followed the design concept of | ||
the user interface in the program for variational Monte Carlo developed by Mr. Tahara. | ||
A part of the user interface in :math:`{\mathcal H}\Phi` is based on his original codes. | ||
We would also like to express our thanks for the support of the \"*Project for advancement of software usability in materials science*\" of The Institute for Solid State Physics, The University of Tokyo, for the development of :math:`{\mathcal H}\Phi` ver. 0.1 - ver. 2.0.4 | ||
|
||
Dr. Yuichi Motoyama and Dr. Yasuyuki Kato found and reported bugs. | ||
We acknowledge their kindness and carefulness. | ||
|
||
We thank Prof. Takeo Hoshi and Prof. Tomohiro Sogabe for the fruitful discussions on the shifted Krylov method and the development of the :math:`K\omega` library. |
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manual/v3.5.2/en/html/_sources/algorithm/Bogoliubov_en.rst.txt
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.. highlight:: none | ||
|
||
.. _Sec:sec_bogoliubov_rep: | ||
|
||
Bogoliubov representation | ||
========================= | ||
|
||
|
||
In the spin system, | ||
the spin indices in the input files of ``transfer``, ``InterAll``, | ||
and correlation functions are specified as those of the Bogoliubov representation. | ||
The spin operators are written by using creation\/annihilation operators: | ||
|
||
.. math:: | ||
S_{i z} &= \sum_{\sigma = -S}^{S} \sigma c_{i \sigma}^\dagger c_{i \sigma} | ||
\\ | ||
S_{i}^+ &= \sum_{\sigma = -S}^{S-1} | ||
\sqrt{S(S+1) - \sigma(\sigma+1)} | ||
c_{i \sigma+1}^\dagger c_{i \sigma} | ||
\\ | ||
S_{i}^- &= \sum_{\sigma = -S}^{S-1} | ||
\sqrt{S(S+1) - \sigma(\sigma+1)} | ||
c_{i \sigma}^\dagger c_{i \sigma+1} | ||
In HPhi, the index of the highest-:math:`\sigma` state is 0. |
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manual/v3.5.2/en/html/_sources/algorithm/DynamicalGreen_en.rst.txt
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.. highlight:: none | ||
|
||
Dynamical Green’s function | ||
-------------------------- | ||
|
||
Using :math:`{\mathcal H}\Phi`, we can calculate a dynamical Green’s | ||
function | ||
|
||
.. math:: I(z) = \langle \Phi ' | \frac{1}{ {\mathcal H}- z\hat{I} } | \Phi '\rangle, | ||
|
||
where :math:`|\Phi ' \rangle = \hat{O} | \Phi _0 \rangle` is an | ||
excited state and :math:`\hat{O}` is an excitation operator defined as a | ||
single excitation operator | ||
|
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.. math:: \sum_{i, \sigma_1} A_{i \sigma_1} c_{i \sigma_1} (c_{i\sigma_1}^{\dagger}) | ||
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or a pair excitation operator | ||
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.. math:: \sum_{i, j, \sigma_1, \sigma_2} A_{i \sigma_1 j \sigma_2} c_{i \sigma_1}c_{j \sigma_2}^{\dagger} (c_{i\sigma_1}^{\dagger}c_{j\sigma_2}). | ||
|
||
For example, the dynamical spin susceptibilities can be calculated by | ||
defining :math:`\hat{O}` as | ||
|
||
.. math:: \hat{O} = \hat{S}({\bf k}) = \sum_{j}\hat{S}_j^z e^{i {\bf k} \cdot \bf {r}_j} = \sum_{j}\frac{1}{2} (c_{j\uparrow}^{\dagger}c_{j\uparrow}-c_{j\downarrow}^{\dagger}c_{j\downarrow})e^{i {\bf k} \cdot \bf {r}_j}. | ||
|
||
There are two modes implemented in :math:`{\cal H}\Phi`. One is the | ||
continued fraction expansion method by using Lanczos method | ||
[#]_ and the other is the shifted Krylov | ||
method [#]_ . See the reference | ||
for the details of each algorithm. | ||
|
||
.. [#] \E. Dagotto, Rev. Mod. Phys. **66**, 763-840 (1994). | ||
.. [#] \S.Yamamoto, T. Sogabe, T. Hoshi, S.-L. Zhang, T. Fujiwara, Journal of the Physical Society of Japan **77**, 114713 (2008). |
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manual/v3.5.2/en/html/_sources/algorithm/FullDiagonalization_en.rst.txt
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.. highlight:: none | ||
|
||
Full Diagonalization method | ||
=========================== | ||
|
||
Overview | ||
-------- | ||
|
||
We generate the matrix of :math:`\hat{\mathcal H }` by using the real space configuration | ||
:math:`| \psi_j \rangle`\(:math:`j=1\cdots d_{\rm H}`, where :math:`d_{\rm H}` is the dimension of the Hilbert space): | ||
:math:`{\mathcal H }_{ij}= \langle \psi_i | \hat {\mathcal H } | \psi_j \rangle`. | ||
By diagonalizing this matrix, | ||
we can obtain all the eigenvalues :math:`E_{i}` and eigenvectors :math:`|\Phi_i\rangle` (:math:`i=1 \cdots d_{\rm H}`). | ||
In the diagonalization, we use a LAPACK routine, such as ``dsyev`` or ``zheev``. | ||
We also calculate and output | ||
the expectation values :math:`A_i \equiv \langle \Phi_i | {\hat A} | \Phi_i\rangle`. | ||
These values are used for the finite-temperature calculations. | ||
|
||
Finite-temperature calculations | ||
------------------------------- | ||
|
||
From | ||
:math:`A_i \equiv \langle \Phi_i | {\hat A} | \Phi_i\rangle`, | ||
we calculate the finite-temperature properties by using the relation | ||
|
||
.. math:: | ||
\langle {\hat A}\rangle=\frac{\sum_{i=1}^N A_i {\rm e}^{-\beta E_i}}{\sum_{i=1}^N{\rm e}^{-\beta E_i}}. | ||
The calculation should be performed by using the own postscripts. |
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