gwsc: a script to run QSGW calculation
gwscがQSGW計算実行スクリプトである。 QSGW計算は,複数のfortran実行ファイルを呼び出して実行される. ファイルGWinputが読み込まれる。
Usage
Usage: gwsc -np NP [-np2 NP2] [--phispinsym] [--gpu] [--mp] nloop extension [Options]
-np NP
MPI並列数を指定する。
-np2 NP2
GPU版を使用する場合のみ指定する。GPUで実行される計算のMPI並列数を指定する。 通常は使用できるGPU数を指定する。
--gpu
GPU版を使用する場合のみ指定する。
--mp
GPU-MP版(混合精度)を使用する場合のみ指定する。計算精度に注意すること。
nloop
QSGWのイテレーション数を指定する。
extension
ctrl ファイルの拡張子を指定する。
Options
追加のオプションを指定する。 追加オプションは, 全ての実行ファイルの実行時引数となる。以下追加のオプションのリスト。 またlmfへのオプション-vsoc=1などもここに書く。
--keepwv
--gpu
を指定した場合に自動で付け加わる. 自己エネルギー(相関部分)を計算する際に, 遮蔽クーロン相互作用の行列要素をメモリ上に保持する. GPU計算ではファイルIO, データ転送が特に律速になるが, それを回避するため.ただし十分なGPUおよびCPUメモリが必要となる.
--nb=X
- Xは整数
--nb=4
のように指定する。 遮蔽クーロン相互作用(W)計算hrcxq
orhrcxq_gpu
で使用される。分極関数のMPB基底並列数を指定する。 GPU計算においてhrcxq(_gpu)
計算でメモリ不足になる場合に使用する。--np2
で指定した並列数を割り切れる値を入れる必要がある。
--nwpara=X
- Xは整数
--nwpara=2
のように指定する。 相関部分の自己エネルギー計算hsfp0_sc --job=2
orhsfp0_sc_gpu --job=2
で使用される。積分の並列数を指定する。--keepwv
使用時(GPU版ではデフォルトで使用される) __WVR.X (X=1,...)ファイルがメモリに乗らりきらずメモリ不足になる場合に使用する。--np2
で指定した並列数を割り切れる値を入れる必要がある。
--tetwtk
指定すると, 分極関数を計算する際に, 結合状態間の四面体重みをメモリ上に保持しない。点が多い計算でメモリ不足になる場合に使用する。
--skipGS
lmf --jobgw=1
で使用される。 GW計算ではDFT計算(lmf
)で得られた波動関数をlmf
とは異なる基底関数で展開しなおす。再展開後の波動関数についてGram-Schmidt正規直行化をしている。その規格直交化をスキップする場合に指定する。
通常は指定する必要はないが、lmf --jobgw=1
計算が遅い場合には指定することによって計算の高速化が期待される。
- ecaljでは有限のqで誘電関数が計算できるーこのとき分母分子のキャンセレーションが起こるため、波動関数の直行性が正確である必要があり、そのときには--skipGSを使うべきでない。
--normcheck
lmf --jobgw=1
で使用される。 GW計算で使用される波動関数の規格直交性を確認したいときに使用する。 normchk.fobar は
> head -20 normchk.si
# IPW IPW(diag) Onsite(tot) Onsite(phi) Total
0.436015 0.805123 0.563972 0.562573 0.999988
0.339134 0.620353 0.660515 0.656881 0.999649
0.339133 0.620353 0.660516 0.656882 0.999649
0.339133 0.620353 0.660516 0.656882 0.999649
0.507738 0.648515 0.492040 0.487673 0.999778
...
などとなる。右端の値が、1になっているべきであるが、展開し直しているため従来では高いエネルギー(下の方。ここでは見えてない)でかなり小さくなっていた(0.8などのおおきさ)。最近デフォルトでは、Gram-Schmidt正規直行化をかけているので、正規直行化は8桁程度以上は保たれている。
The first line (corresponding to 1st band of 1st q point) means that total normalization almost unity = 0.999988 = 0.436015 + 0.563972.
--ntqxx
This fix the number of bands to calculate self energy at the first iteration for each point in the IBZ. In principle, the number is determined by
Cautions
QPU.[number]runをチェックして、number回のQSGWイテレーションが終了している、と認識する。 (初期状態から実行したいときはすべての
*run*
ディレクトリ、ファイルを消すこと)。QSGW.[number]runディレクトリには、QSGWのnumber回目の結果rst,sigm(加えてatmpnu,ctrl,GWinput)が格納されており、これを用いてバンドプロットなどができる。
Other scripts
cleargw
: clean up temporary files
gw_lmfh
: The one-shot \GW calculation. Lifetime(impact ionization rate) of QPs.
epsPP0
: dielectric function. No local field corrections
(eps_lmfh
: Dielectric function with local-field corrections. computationally expensive. Need some modifications. Old versions)
genMLWF
: Wannier function and its matrix elements of the Screened Coulomb interaction.
Files used in gwsc
Temporary files are with __*
. Thus we can delete __* (or use cleargw
) after you finish gwsc/epsPP0
and so on.
To repeat a small test for gwsc
./testecalj.py si_gwsc
at ~/ecalj/SRC/TestInstall. This is what contained in InstallTest. Test is runnning at work/si_gwsc/. After copy things from si_gwsc to work/si_gwsc. You can run followings one by one if you like. Or ls -rlt
roughly show which generates which files.
===== Ititial band structure ======
--> No sigm. LDA caculation for eigenfunctions
0:00:00.990833 mpirun --bind-to core --map-by core -np 1 /home/takao/ecalj/SRC/TestInstall/bin/lmfa si >llmfa
0:00:03.067381 mpirun --bind-to core --map-by core -np 4 /home/takao/ecalj/SRC/TestInstall/bin/lmf si >llmf_lda
===== QSGW iteration start iter 1 ===
0:00:06.584919 mpirun --bind-to core --map-by core -np 1 /home/takao/ecalj/SRC/TestInstall/bin/lmf si --jobgw=0 >llmfgw00
0:00:08.953914 mpirun --bind-to core --map-by core -np 1 /home/takao/ecalj/SRC/TestInstall/bin/qg4gw --job=1 > lqg4gw
0:00:11.026268 mpirun --bind-to core --map-by core -np 4 /home/takao/ecalj/SRC/TestInstall/bin/lmf si --jobgw=1 >llmfgw01
0:00:14.276866 mpirun --bind-to core --map-by core -np 1 /home/takao/ecalj/SRC/TestInstall/bin/heftet --job=1 > leftet
0:00:16.342115 mpirun --bind-to core --map-by core -np 1 /home/takao/ecalj/SRC/TestInstall/bin/hbasfp0 --job=3 >lbasC
0:00:18.457527 mpirun --bind-to core --map-by core -np 4 /home/takao/ecalj/SRC/TestInstall/bin/hvccfp0 --job=3 > lvccC
0:00:20.400344 mpirun --bind-to core --map-by core -np 4 /home/takao/ecalj/SRC/TestInstall/bin/hsfp0_sc --job=3 >lsxC
0:00:22.459518 mpirun --bind-to core --map-by core -np 1 /home/takao/ecalj/SRC/TestInstall/bin/hbasfp0 --job=0 > lbas
0:00:24.614140 mpirun --bind-to core --map-by core -np 4 /home/takao/ecalj/SRC/TestInstall/bin/hvccfp0 --job=0 > lvcc
0:00:26.884440 mpirun --bind-to core --map-by core -np 4 /home/takao/ecalj/SRC/TestInstall/bin/hsfp0_sc --job=1 >lsx
0:00:28.964117 mpirun --bind-to core --map-by core -np 4 /home/takao/ecalj/SRC/TestInstall/bin/hrcxq > lrcxq
0:00:31.358625 mpirun --bind-to core --map-by core -np 4 /home/takao/ecalj/SRC/TestInstall/bin/hsfp0_sc --job=2 > lsc
0:00:33.682640 mpirun --bind-to core --map-by core -np 1 /home/takao/ecalj/SRC/TestInstall/bin/hqpe_sc > lqpe
0:00:35.517672 mpirun --bind-to core --map-by core -np 4 /home/takao/ecalj/SRC/TestInstall/bin/lmf si >llmf
===== QSGW iteration end iter 1 ===
lmfa
atmpnu*
Logalithmic derivative at MT boundaries generated by lmfa. This is used by lmf when READP=T.
__atm.foobar
This contains electron densities of spherical atoms.
lmf
rst.foobar
This contains self-consistent electron density revised by each iteration of lmf
QPLIST*.chk
QPLIST.jobgw1.chk (jobgw1 means --jobgw=1 for lmf) is for human, containing q for irr=1. QPLIST.lmf.chk (no jobgw option) is for human. Irreducible q points for lmf self-consistent calculations.
__HAMindex
q points table and so on for generating Hamiltonian
__mix.foobar
mixing file for lda
lmf --jobgw=0
NLAindx.chk
This is for human. It shows index to expand eigenfunctions in MTs.
__HAMindex0
Generated at L96:main_lmf.f90 L96: call m_hamindex0_init() Index of MTOs, space-group symmetries and so on.
QBZ.chk
q points mesh. Just for human reading.
qg4gw
__QGpsi, __QGcou
q+G of the interstitial plane wave (IPW). Type lqg4gw, which shows
--- Max number of G for psi, G for Cou= 116 36
iq= 1 q= 0.000000 0.000000 0.000000 ngp ngc= 111 29 irr.= 1 <--R
iq= 2 q= -0.250000 -0.250000 0.750000 ngp ngc= 106 34 irr.= 1 <--R
iq= 3 q= -0.250000 0.750000 -0.250000 ngp ngc= 106 34 irr.= 0 <--R
iq= 4 q= -0.500000 0.500000 0.500000 ngp ngc= 116 36 irr.= 1 <--R
iq= 5 q= 0.750000 -0.250000 -0.250000 ngp ngc= 106 34 irr.= 0 <--R
iq= 6 q= 0.500000 -0.500000 0.500000 ngp ngc= 116 36 irr.= 0 <--R
iq= 7 q= 0.500000 0.500000 -0.500000 ngp ngc= 116 36 irr.= 0 <--R
iq= 8 q= 0.250000 0.250000 0.250000 ngp ngc= 116 36 irr.= 1 <--R
iq= 9 q= -0.012500 -0.012500 0.037500 ngp ngc= 111 29 irr.= 1 <--Q0P
iq= 10 q= -0.262500 -0.262500 0.787500 ngp ngc= 106 34 irr.= 1 <--Q0P+R
iq= 11 q= -0.262500 0.737500 -0.212500 ngp ngc= 106 34 irr.= 1 <--Q0P+R
iq= 12 q= -0.512500 0.487500 0.537500 ngp ngc= 116 36 irr.= 1 <--Q0P+R
iq= 13 q= 0.737500 -0.262500 -0.212500 ngp ngc= 106 34 irr.= 0 <--Q0P+R
iq= 14 q= 0.487500 -0.512500 0.537500 ngp ngc= 116 36 irr.= 0 <--Q0P+R
iq= 15 q= 0.487500 0.487500 -0.462500 ngp ngc= 116 36 irr.= 1 <--Q0P+R
iq= 16 q= 0.237500 0.237500 0.287500 ngp ngc= 116 36 irr.= 1 <--Q0P+R
iq= 17 q= -0.012500 0.012500 0.012500 ngp ngc= 111 29 irr.= 1 <--Q0P
iq= 18 q= -0.262500 -0.237500 0.762500 ngp ngc= 106 34 irr.= 1 <--Q0P+R
iq= 19 q= -0.262500 0.762500 -0.237500 ngp ngc= 106 34 irr.= 0 <--Q0P+R
iq= 20 q= -0.512500 0.512500 0.512500 ngp ngc= 116 36 irr.= 1 <--Q0P+R
iq= 21 q= 0.737500 -0.237500 -0.237500 ngp ngc= 106 34 irr.= 1 <--Q0P+R
iq= 22 q= 0.487500 -0.487500 0.512500 ngp ngc= 116 36 irr.= 1 <--Q0P+R
iq= 23 q= 0.487500 0.512500 -0.487500 ngp ngc= 116 36 irr.= 0 <--Q0P+R
iq= 24 q= 0.237500 0.262500 0.262500 ngp ngc= 116 36 irr.= 1 <--Q0P+R
OK! End of qg4gw
Here, we have regular mesh points specified by <--R
. Q0P is the offset Gamma points shown in Q0P. irr=1 shows the irreducible q points at which we have to generate eigenfunctions. ngp is the number of IPW for the expansion of eigenfunctions (controlled by QpGcut_phi). ngc is for IPW for the MPB (controlled by QpGcut_cou).
__BZDATA
__BZDATA contains info on regular mesh points, and offset Gamma (Q0P). Data for tetrahedron division.
lmf --jobgw=1
Generate all the following data to perform GW. See at subroutines/sugw.f90.
@MNLA_core.chk
human readable: core index
@MNLA_CPHI
human readable (but program use this): Eigenfunctions expanded within MT
hbe.d.chk
human readable: size file for check
__PHIVC
radial functions.
__MTOindex
MTO index
__vxcevec*
Coefficients of eigenfunctions and eigenvalues for in the basis of PMT.
GEIG,__CPHI,__EValue
GEIG: Coefficients of eigenfunctions. IPW part CPHI: Coefficients of eigenfunctions. MT part EValue: eigenvalue
PPOVLGG, PPOVLI, PPOVLG, PPOVL0
overlap matrix of IPW.
__VXCFP
XC term in LDA (only diagonal part). A part of vxcevec Used at hsfp0 but not essential (only for convenience of presentantion).
heftet --job=1
EFERMI
The Fermi energy in the tetrahedron method
hbasfp0 (we have --job=3 for core and --job=0 for valence)
__BASFP*
Product basis functions
__PPBRD*
Radial integrals on each MT, symbolically written as
hvccfp0
We call two times one for core, and the other for valence.
__Vcoud* , __WV.d
the Coulomb matrix (eigenvalues and eigenfunctions of the Coulomb matrix in the expansion of MPB)
hx0fp0
Note that we use a technique to define at as an average of the Gamma cell.
__WV.d
Size of the dielectric function
__WVR
W-v in the expansion of mixed product basis along the real axis.
__WVI
W-v in the expansion of mixed product basis along the imag axis.
freq_r
human readable: energy mesh to accumrate imaginary parts of W-v.
hsfp0_sc
(Core exhcange --job=3, valence exchange --job=1, and valence correlation --job=2)
These are moved to SEBK at the end of gwsc iteration cycle.
SEXcoreU,SEXcore2U :
core exchange --job=3 . SEXcoreU is diagonal part for human check but not used so much. We have *D for down spin (isp=2)as well.
SEU,SEX2U
valence exchange --job=1 . SECU is diagonal part for human check but not used so much.
SECU,SEC2U:
valence correlation --job=2 . SECU is diagonal part for human check but not used so much.
XCU
LDA exchange correlation
lqpe
QPU, QPD
human readable format. decomposion of self-energy for diagonal elements.QPD is for isp=2.
An example of one-shot GW by gw_lmfh si
(small size calculation in TestInstall) is:
...
q state SEx SExcore SEc vxc dSE dSEnoZ eLDA eQP eQPnoZ eHF Z FWHM=2Z*Simg ReS(elda)
0.00000 0.00000 0.00000 1 -16.91 -1.85 6.62 -12.47 0.22 0.33 -12.24 -12.03 -11.92 -18.54 0.66 1.25708 -12.14031
0.00000 0.00000 0.00000 2 -13.87 -1.96 2.81 -13.61 0.47 0.59 -0.31 0.16 0.28 -2.53 0.80 0.00000 -13.02308
0.00000 0.00000 0.00000 3 -13.87 -1.96 2.81 -13.61 0.47 0.59 -0.31 0.16 0.28 -2.53 0.80 0.00000 -13.02308
0.00000 0.00000 0.00000 4 -13.87 -1.96 2.81 -13.61 0.47 0.59 -0.31 0.16 0.28 -2.53 0.80 0.00000 -13.02308
0.00000 0.00000 0.00000 5 -4.60 -1.41 -4.27 -11.81 1.19 1.52 2.23 3.42 3.75 8.03 0.78 -0.02515 -10.28546
0.00000 0.00000 0.00000 6 -4.60 -1.41 -4.27 -11.81 1.19 1.52 2.23 3.42 3.75 8.03 0.78 -0.02515 -10.28546
0.00000 0.00000 0.00000 7 -4.60 -1.41 -4.27 -11.81 1.19 1.52 2.23 3.42 3.75 8.03 0.78 -0.02515 -10.28546
0.00000 0.00000 0.00000 8 -5.11 -3.79 -5.14 -15.23 0.91 1.20 2.95 3.86 4.14 9.28 0.76 -0.07397 -14.03341
0.50000 0.00000 0.00000 1 -16.80 -1.91 5.97 -12.64 -0.06 -0.10 -11.18 -11.24 -11.27 -17.25 0.67 0.84187 -12.73584
0.50000 0.00000 0.00000 2 -13.77 -2.37 2.91 -13.84 0.47 0.60 -3.84 -3.37 -3.24 -6.14 0.78 0.04107 -13.24015
0.50000 0.00000 0.00000 3 -13.57 -1.74 3.01 -12.76 0.37 0.47 -2.20 -1.84 -1.74 -4.75 0.78 0.00000 -12.29249
0.50000 0.00000 0.00000 4 -13.57 -1.74 3.01 -12.76 0.37 0.47 -2.20 -1.84 -1.74 -4.75 0.78 0.00000 -12.29249
0.50000 0.00000 0.00000 5 -4.27 -1.19 -4.08 -10.97 1.17 1.43 0.76 1.92 2.19 6.27 0.81 -0.00000 -9.53378
0.50000 0.00000 0.00000 6 -3.83 -1.10 -4.38 -10.98 1.33 1.68 2.98 4.31 4.65 9.03 0.79 -0.01203 -9.30307
0.50000 0.00000 0.00000 7 -4.73 -1.66 -4.56 -12.65 1.34 1.70 5.45 6.79 7.14 11.70 0.79 -0.08743 -10.95431
0.50000 0.00000 0.00000 8 -4.73 -1.66 -4.56 -12.65 1.34 1.70 5.45 6.79 7.14 11.70 0.79 -0.08743 -10.95431
1.00000 0.00000 0.00000 1 -15.60 -2.13 4.43 -13.20 -0.08 -0.11 -8.13 -8.21 -8.24 -12.67 0.78 0.61936 -13.30329
1.00000 0.00000 0.00000 2 -15.60 -2.13 4.43 -13.20 -0.08 -0.11 -8.13 -8.21 -8.24 -12.67 0.78 0.61936 -13.30329
1.00000 0.00000 0.00000 3 -13.66 -1.70 3.17 -12.58 0.30 0.39 -3.16 -2.86 -2.77 -5.94 0.77 0.07961 -12.19216
1.00000 0.00000 0.00000 4 -13.66 -1.70 3.17 -12.58 0.30 0.39 -3.16 -2.86 -2.77 -5.94 0.77 0.07961 -12.19216
1.00000 0.00000 0.00000 5 -3.97 -0.91 -3.95 -10.33 1.22 1.50 0.31 1.53 1.81 5.76 0.81 -0.00000 -8.82976
1.00000 0.00000 0.00000 6 -3.97 -0.91 -3.95 -10.33 1.22 1.50 0.31 1.53 1.81 5.76 0.81 -0.00000 -8.82976
1.00000 0.00000 0.00000 7 -3.59 -2.37 -5.91 -13.53 1.20 1.66 9.81 11.01 11.47 17.37 0.72 -0.40499 -11.86796
1.00000 0.00000 0.00000 8 -3.59 -2.37 -5.91 -13.53 1.20 1.66 9.81 11.01 11.47 17.37 0.72 -0.40499 -11.86796
All of the unit of energy is in eV. Detailed value of eLDA} is in {TOTE.UP}. For insulators, the Fermi energy is at the middle of band. For metals, one shot GW can be problematic if we consider the self-consistency of the Fermi energy.
q : q vector
state: Band index n for valence.
SEx:
SExcore:
SEc:
vxc: LDA exchange correlation energy.
dSE: dSEnoZ
dSEnoZ: = SEx + SExcore + SEc - vxc
eLDA: LDA eigenvalues.
eQP: QP energy. +dSE
eQPnoZ: QP energy without . +dSEnoZ
eHF: HF energy of 1st iteration. +SEx + SExcore -vxc Z: Z factor.
FWHM=2Z*S_{img}: Quasi-particle life time.
ReS(elda):
- NOTE: QPU for
gwsc
is a little different. No Z and no life time shown. Shown eQP is just the eigenvalues of starting point of lmf.
TOTE.UP
numerical detailed values of QPU. TOTE.DN for QPD
In one-shot GW gw_lmfh
, TOTE.UP contains LDA and QP energies. It contains two kind of QP energies {\tt QP QPnoZ}.
__mixsig
mixing file for sigm.foobar
sigm
self-energy file in the expansion of eigenfunctions of .
Product basis
The product basis section in GWinput is given as follows. Recall that the product basis is made of the product basis within MT and the interstitial plane waves (IPWs). From the <PRODUCT_BASIS>
table, we generate possible product basis of atomic functions within MTs.
Product basis is originally given by F.Aryasetiawan and O.Gunnarsson at https://journals.aps.org/prb/abstract/10.1103/PhysRevB.49.16214 The mixed product basis https://doi.org/10.1016/S0038-1098(02)00028-5 is the successor of original.
<PRODUCT_BASIS>
tolerance to remove products due to poor linear-independency
1d-3 ! =tolopt; larger gives smaller num. of product basis. See lbas and lbasC, which are output of hbasfp0.
lcutmx(atom) = maximum l-cutoff for the product basis. =4 is required for atoms with valence d, like Ni Ga
4 4
atom l nnvv nnc ! Do not touch. nnvv: num. of radial functions (valence) on the augmentation-waves. nnc: num. for core.
1 0 2 3
1 1 2 2
1 2 3 0
1 3 2 0
1 4 2 0
2 0 2 3
2 1 2 2
2 2 2 1
2 3 2 0
2 4 2 0
atom l n occ unocc ! Valence(1=yes,0=no) ! You can set 0 or 1 to give the groups 'occ' and 'unocc'
1 0 1 1 1 ! 4s_phi -----
1 0 2 0 0 ! 4s_phidot
1 1 1 1 1 ! 4p_phi
1 1 2 0 0 ! 4p_phidot
1 2 1 0 1 ! 4d_phi
1 2 2 0 0 ! 4d_phidot
1 2 3 1 0 ! 3d_phiz
1 3 1 0 1 ! 4f_phi
1 3 2 0 0 ! 4f_phidot
1 4 1 0 0 ! 5g_phi
1 4 2 0 0 ! 5g_phidot
2 0 1 1 1 ! 4s_phi -----
2 0 2 0 0 ! 4s_phidot
2 1 1 1 1 ! 4p_phi
2 1 2 0 0 ! 4p_phidot
2 2 1 0 1 ! 4d_phi
2 2 2 0 0 ! 4d_phidot
2 3 1 0 1 ! 4f_phi
2 3 2 0 0 ! 4f_phidot
2 4 1 0 0 ! 5g_phi
2 4 2 0 0 ! 5g_phidot
atom l n occ unocc ForX0 ForSxc ! Core (1=yes, 0=no) <-- Obsolate from here on. But do not change.
1 0 1 0 0 0 0 ! 1S -----
1 0 2 0 0 0 0 ! 2S
1 0 3 0 0 0 0 ! 3S
1 1 1 0 0 0 0 ! 2P
1 1 2 0 0 0 0 ! 3P
2 0 1 0 0 0 0 ! 1S -----
2 0 2 0 0 0 0 ! 2S
2 0 3 0 0 0 0 ! 3S
2 1 1 0 0 0 0 ! 2P
2 1 2 0 0 0 0 ! 3P
2 2 1 0 0 0 0 ! 3D
</PRODUCT_BASIS>
tolerance:
cut off of linear-dependency of product basis. If we like to reduce computational size 1d-2 is a possiblity.`lcutmx
: The integers next tolcutmx(atom)...
. This is cutoff for product basis for each atomic sites. The integers give the maximum angular momentum for the product basis for atomic sites. In our experience, lcutmx=4 is required when the valence electrons exist. For oxygen 2 is fine. For 4f/5f atoms we need 6. SiteInfo.lmchk shows atom order (SITE order in ctrl file).Keep a blocks as it is. " atom l nnvv nnc ..." shows how many radial functions for cores and valence electrons for each atom and l. nnvv=2 in the case of and ; nnvv=3 in the case to add the local orbital in addition.
There are two blocks after the line
atom l n occ unocc :Valence(1=yes, 0=no)
and afteratom l n occ unocc ForX0 ForSxc ! Core (1=yes, 0=no)
These are used to choose atomic functions to construct the product basis. The product basis are generated from the products of two atomic basis.n=1 with the comment
4p_phi
indicates (n=1), n=2 with4p_phidot
for , and n=3 for3d_phiz
with the local orbital (n=3).The switches for columns
occ
andunocc
can take 0 (not included) or 1 (included). With the switch, we can construct two groups of orbitals,occ
andunocc
. With the switches, we see the groupocc
= for atom 1. The groupuocc
=.occ
andunocc
roughly corresponds to occupied and unoccupied orbitals. Usually we don't include for calcultions to have smaller numner of product basis. But it should be better to be included. Then any product of combinationsocc
unocc
= are included as for the basis of the product basis. But we reduce the number of products with the linear dependency. We have to consider not only the product of radial parts, but also synthesis of .Last section is obsolate. Each line of the last section are
atom l n occ unocc ForX0 ForSxc :CoreState(1=yes, 0=no) 1 2 1 A x B C
We generally set A=B=C=0. This setting was for the concept of CORE1 and CORE2 in EQ.35 in 2007 paper. In our recent calculations, we do not use CORE2.Thus these lines are osbolate (keep them as they are).
MEMO
- We need to explain how to set Gamma-cell averaged .
- ecaljdetails Details of ecalj algorithm. This should be revised.