[Wien] 4f multiplet

pluto pluto at physics.ucdavis.edu
Mon Jul 22 18:11:01 CEST 2024


Dear All,

The issue with Ylm(3,3) plotting can be traced to the PS file generated 
by spaghetti. It contains following lines:

...
/Times-Roman                             findfont  20.00000 scalefont 
setfont
(EuO-bulk-U-0) show
/Times-Roman                             findfont  20.00000 scalefont 
setfont
(atom  1) show
/Times-Roman                             findfont  20.00000 scalefont 
setfont
(( ) show
/Times-Roman                             findfont  20.00000 scalefont 
setfont
...

The line:

(( ) show

is causing the problem. Things plot just fine if one bracket is removed:

( ) show




dear Yongbin,

Thank you for your comments.

Indeed Eu 4f levels are quite close to the Fermi level in EuO. But I am 
using EuO only as an example to investigate the plotting problems of 
Ylm(3,3) orbital in w2web interface. It is only a technical problem of 
w2web, independent of whether the physics of EuO is correct or not -- 
some numbers that are in case.qtlup/dn files are not being plotted, a 
simple bug somewhere in w2wb or in spaghetti, I suppose.

Best,
Lukasz




On 2024-07-22 17:16, Lee, Yongbin [A LAB] via Wien wrote:
> Dear Lukasz,
>    I assumed you were dealing with Eu²⁺, where 7 4f electrons are
> occupied. However, one of your 4f levels looks too close to the Fermi
> energy (just 0.8 eV below) if you are using U = 0.6 Ry. Are you
> working with Eu³⁺, where 6 4f electrons are occupied? Check your
> spin moment to see if it has converged to the states that you
> expected.
> 
>  Best,
>  Yongbin
> 
> -------------------------
> 
> From: Wien <wien-bounces at zeus.theochem.tuwien.ac.at> on behalf of Lee,
> Yongbin [A LAB] via Wien <wien at zeus.theochem.tuwien.ac.at>
> Sent: Monday, July 22, 2024 9:01 AM
> To: A Mailing list for WIEN2k users <wien at zeus.theochem.tuwien.ac.at>
> Cc: Lee, Yongbin [A LAB] <yblee at iastate.edu>
> Subject: Re: [Wien] 4f multiplet
> 
>  Dear Lukasz
> 
>      It appears that you didn't add spin-orbit coupling for the
> calculation in your QTL. If that is correct (though it is a little
> strange for me to calculate Eu without SO), f(3,3) and f(3,-3) should
> be degenerate. Check f(3,-3) instead of f(3,3) to see if it is
> working. Also, you can identify which bands have dominant
> contributions for f(3,3)/f(3,-3) from your QTL file, at least for the
> Gamma point (assuming your first k-point is Gamma). It looks like your
> BAND 9 has dominant contributions from f(3,2) and f(3,-2). Check if
> the band with f(3,3)/f(3,-3) is within your energy range.
> 
>  Best,
>  Yongbin
> 
> -------------------------
> 
> From: Wien <wien-bounces at zeus.theochem.tuwien.ac.at> on behalf of
> pluto via Wien <wien at zeus.theochem.tuwien.ac.at>
> Sent: Monday, July 22, 2024 8:35 AM
> To: A Mailing list for WIEN2k users <wien at zeus.theochem.tuwien.ac.at>
> Cc: pluto <pluto at physics.ucdavis.edu>
> Subject: Re: [Wien] 4f multiplet
> 
> Dear Prof. Blaha, Prof. Marks,
> 
> Thank you for your remarks.
> 
> Regarding the fat-band plotting, I reproduced the Ylm(3,3) qtl problem
> 
> with EuO. Below I paste inq and qtlup files. The zipped outputqup file
> 
> is attached.
> 
> It seems all Ylm components are printed into case.qtlup file. Of
> course
> I can probably plot them using external code, but w2web is so
> convenient
> for quick checks.
> 
> In the case.inq I purposely calculated f and s states, in this order,
> to
> make sure that an extra column behind f-levels is printed out.
> 
> In case.insp, only using jtype = 9 makes a problem, nothing is
> plotted.
> Using jtype = 10 does not make a problem, s-character is plotted.
> 
> Best,
> Lukasz
> 
> EuO-bulk-U-0.6Ry% more EuO-bulk-U-0.6Ry.insp
> ### Figure configuration
>   5.0   3.0                         # paper offset of plot
> 10.0  15.0                         # xsize,ysize [cm]
>   1.0   4                           # major ticks, minor ticks
>   1.0   1                           # character height, font switch
>   0.1   3    1                      # line width, line switch, color
> switch
> ### Data configuration
> -5.0  5.0  2                      # energy range, energy switch (1:Ry,
> 
> 2:eV)
> 1      0.4852915091                # Fermi switch,  Fermi-level (in Ry
> 
> units)
> 1   999                            # number of bands for heavier
> plotting   1,1
> 1     9    0.2                    # jatom, jtype, size  of heavier
> plotting
> 
> EuO-bulk-U-0.6Ry% more EuO-bulk-U-0.6Ry.inq
> -9.0   3.0           Emin  Emax
>     1                 number of atoms
>     1   1  0  0       iatom,qsplit,symmetrize,locrot
> 2   3    0         nL, l-values
> 
> EuO-bulk-U-0.6Ry% more EuO-bulk-U-0.6Ry.qtlup
>   EuO-bulk
> 
>   LATTICE CONST.=  9.7208  9.7208  9.7208   FERMI ENERGY=   0.48846
>    141 < NMAT <  163   SPIN=2   NAT=  2      SO 0 KLmax  9
>   JATOM  1  MULT= 1  ISPLIT= 1
> tot,f,(3;-3),(3;-2),(3;-1),(3;0),(3;1),(3;2),(3;3),s,
> 
>   JATOM  2  MULT= 1  ISPLIT= 0   atom not selected for QTL calculation
>   BAND    1
>    -2.34799  1 0.97897    0.00000 0.00000 0.00000 0.00000 0.00000
> 0.00000
> 0.00000 0.00000 0.97896
>    -2.34799  2 0.00000
>    -2.34799  3 0.02103
>    -2.34801  1 0.97895    0.00000 0.00000 0.00000 0.00000 0.00000
> 0.00000
> 0.00000 0.00000 0.97895
>    -2.34801  2 0.00000
>    -2.34801  3 0.02105
>    -2.34805  1 0.97892    0.00000 0.00000 0.00000 0.00000 0.00000
> 0.00000
> 0.00000 0.00000 0.97892
>    -2.34805  2 0.00000
>    -2.34805  3 0.02108
>    -2.34811  1 0.97886    0.00000 0.00000 0.00000 0.00000 0.00000
> 0.00000
> 0.00000 0.00000 0.97886
>    -2.34811  2 0.00000
>    -2.34811  3 0.02114
>    -2.34820  1 0.97878    0.00000 0.00000 0.00000 0.00000 0.00000
> 0.00000
> 0.00000 0.00000 0.97878
> 
> ...
> 
>   BAND    9
>     0.42894  1 0.96574    0.96574 0.00000 0.45002 0.00000 0.06571
> 0.00000
> 0.45002 0.00000 0.00000
>     0.42894  2 0.00000
>     0.42894  3 0.03426
>     0.42867  1 0.96517    0.96517 0.03377 0.24701 0.18494 0.03374
> 0.18494
> 0.24701 0.03377 0.00000
>     0.42867  2 0.00000
>     0.42867  3 0.03483
>     0.42865  1 0.96413    0.96413 0.03281 0.27434 0.15808 0.03368
> 0.15808
> 0.27434 0.03281 0.00000
>     0.42865  2 0.00000
>     0.42865  3 0.03587
>     0.42857  1 0.96132    0.96132 0.02294 0.37307 0.06843 0.03244
> 0.06843
> 0.37307 0.02294 0.00001
>     0.42857  2 0.00000
>     0.42857  3 0.03868
> 
> ...
> 
> On 2024-07-22 10:24, Peter Blaha wrote:
>> As far as I know it is impossible to get all those multiplet
> stuctures
>> in DFT.
>> 
>> With respect to the partial DOS:
>> Does the case.qtlup/dn file look correctly and has all
> decompositions ?
>> What says case.outputqup/dn ... ?
>> 
>> 
>> 
>> Am 19.07.2024 um 19:13 schrieb pluto via Wien:
>>> Dear All,
>>> 
>>> I have been calculating bands for a ternary compound containing Dy.
> Dy
>>> 4f exhibits a complex multiplet in photoemission. Is there a
> correct
>>> way to get something at least approximately correct from GGA+U? Or
> is
>>> it hopeless because of the correlated nature of the photoemission
>>> final states (there are many more than 7 terms in the final state)?
> I
>>> was hoping to get something approximately correct to be able to
> look
>>> at the orbital decomposition.
>>> 
>>> I also noticed that w2web does not plot fat bands for Dy 4f(3,3)
>>> orbital (Ylm decomposition calculated using qtl). An empty PS file
> is
>>> created. All other 4f Ylm orbital fat bands are plotted just fine.
>>> Things do not depend on which other orbitals and in which order are
> 
>>> calculated by qtl, as can defined in case.inq. An example of
> case.inq
>>> file calculating s and f levels in Ylm basis:
>>> 
>>> -9.0   3.0           Emin  Emax
>>>     1                 number of atoms
>>>     1   1  0  0       iatom,qsplit,symmetrize,locrot
>>> 2   0  3       nL, l-values
>>> 
>>> Loc-rot matrix on Dy in case.struct is an identity:
>>> 
>>> Dy         NPT=  781  R0=0.00001000 RMT=    2.5000   Z: 66.000
>>> LOCAL ROT MATRIX:    1.0000000 0.0000000 0.0000000
>>>                       0.0000000 1.0000000 0.0000000
>>>                       0.0000000 0.0000000 1.0000000
>>> 
>>> Best,
>>> Lukasz
>>> _______________________________________________
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