[Wien] DOS projected onto Jeff=1/2 and 3/2

acta3273 at chiba-u.jp acta3273 at chiba-u.jp
Wed Nov 20 14:23:09 CET 2013


Dear Professor Blaha, 

Thank you very much for your prompt reply, but it seems that 
my previous question was not clear enough.  

What I want to calculate is the SOC splitting in the t2g manifold, 
rather than the SOC splitting in the five d orbitals.  

This is usually done with Jeff, rather than J=L+s.  
The basis functions can be written as 
|Jeff=3/2,Jz=-3/2>=(|dyz,dn>-i|dxz,dn>)/sqrt(2)
|Jeff=3/2,Jz=+3/2>=(-|dyz,dn>-i|dxz,dn>)/sqrt(2)
|Jeff=3/2,Jz=-1/2>=(|dyz,up>-i|dxz,up>+2|dxy,dn>)/sqrt(6)
|Jeff=3/2,Jz=+1/2>=(-|dyz,dn>-i|dxz,dn>+2|dxy,up>)/sqrt(6)
|Jeff=1/2,Jz=-1/2>=(|dyz,up>-i|dxz,up>-|dxy,dn>)/sqrt(3)
|Jeff=1/2,Jz=+1/2>=(|dyz,dn>+i|dxz,dn>+|dxy,up>)/sqrt(3)
and I want to calculate the PDOS projected onto these functions.  

Looking at UG, I found that this cannot be done with the 
standard option, but rather one has to write up the unitary 
transformation matrix "by hand".  
I therefore would like to know how to write up this matrix, 
i.e., how to write the case.cf file, and then how to 
calculate PDOS using this file.  

I might overlook something in UG that tells us how to do this 
in a standard option in WIEN2k.  If this is the case, which 
is great!, I am very happy if you could let me know how to this.  

Best regards,
Tatsuya Toriyama
Department of Physics
Chiba University
Japan. 

----- Original Message -----
> It is NOT necessary to use your own case.cf file.
> 
> There are standard options for case.inq to obtain the j1/2-3/2
> Use QSPLIT=0 (or -1).
> 
> On 11/20/2013 04:57 AM, acta3273 at chiba-u.jp wrote:
> > Dear WIEN2k users,
> >
> > I am intersted in materials with strong spin-orbit coupling and now
> > trying
> > to calculate the electronic structure of Sr2IrO4 without spin
> > polarization.
> >
> > Using wien2k but without using wannier, I want to reproduce the PDOS
> > projected onto Jeff=1/2 and 3/2, as was done in Fig.5.15 on page 87 
of
> > Ref: http://hal.archives-ouvertes.fr/docs/00/59/10/68/PDF/MainThese.pdf

> >
> > The mailing-list suggests the use of case.cf, so I am using the 
files
> > case.struct, case.inso, case.cf, and case.inq attached below.
> > Using these files, I have done the following:
> >
> > 1. x qtl -so
> > 2. emacs Sr2IrO4_I4mmm_undistorted.qtl
> >     line 6 is changed from
> >     JATOM  2  MULT= 1  ISPLIT= 6   projected DOS, user own unitary
> > transformation
> >     to
> >     JATOM  2  MULT= 1  ISPLIT= 6   tot,d,j3/2p3/2,j3/2m3/2,j3/2p1/2,
j3/
> > 2m1/2,j1/2p1/2,j1/2m1/2,z2up,z2dn,x2y2up,x2y2dn,
> > 3. x tetra
> >
> > However, the results did not agree with those of the above Reference.
> > For example, no denegeracy in PDOS occurs between |Jeff=3/2,Jz=-3/2> 
and
> > |Jeff=3/2,Jz=+3/2>.
> >
> > The states of Jeff=3/2 and 1/2 are written as
> > |Jeff=3/2,Jz=-3/2>=(|dyz,dn>-i|dxz,dn>)/sqrt(2)
> > |Jeff=3/2,Jz=+3/2>=(-|dyz,dn>-i|dxz,dn>)/sqrt(2)
> > |Jeff=3/2,Jz=-1/2>=(|dyz,up>-i|dxz,up>+2|dxy,dn>)/sqrt(6)
> > |Jeff=3/2,Jz=+1/2>=(-|dyz,dn>-i|dxz,dn>+2|dxy,up>)/sqrt(6)
> > |Jeff=1/2,Jz=-1/2>=(|dyz,up>-i|dxz,up>-|dxy,dn>)/sqrt(3)
> > |Jeff=1/2,Jz=+1/2>=(|dyz,dn>+i|dxz,dn>+|dxy,up>)/sqrt(3)
> >
> > I am wondering what is wrong....
> >
> > I am using version 13.1 of wien2k, and OS is ubuntu12.04LTS.
> >
> > Thanks for your help.
> >
> > --
> > Tatsuya Toriyama
> > Dept. of Phys.,
> > Japan, Chiba-univ.
> >
> >
> > ------Sr2IrO4_I4mmm_undistorted.struct-----------------------
> > Sr2IrO4_I4mmm_undistorted
> > B   LATTICE,NONEQUIV.ATOMS:  4139_I4/mmm
> > MODE OF CALC=RELA unit=bohr
> >    7.314185  7.314185 24.063584 90.000000 90.000000 90.000000
> > ATOM  -1: X=0.00000000 Y=0.00000000 Z=0.35308382
> >            MULT= 2          ISPLIT=-2
> >        -1: X=0.00000000 Y=0.00000000 Z=0.64691618
> > Sr         NPT=  781  R0=0.00001000 RMT=    2.2700   Z: 38.0
> > LOCAL ROT MATRIX:    1.0000000 0.0000000 0.0000000
> >                       0.0000000 1.0000000 0.0000000
> >                       0.0000000 0.0000000 1.0000000
> > ATOM  -2: X=0.00000000 Y=0.00000000 Z=0.00000000
> >            MULT= 1          ISPLIT=-2
> > Ir         NPT=  781  R0=0.00000500 RMT=    2.0000   Z: 77.0
> > LOCAL ROT MATRIX:    1.0000000 0.0000000 0.0000000
> >                       0.0000000 1.0000000 0.0000000
> >                       0.0000000 0.0000000 1.0000000
> > ATOM  -3: X=0.00000000 Y=0.50000000 Z=0.00000000
> >            MULT= 2          ISPLIT= 8
> >        -3: X=0.50000000 Y=0.00000000 Z=0.00000000
> > O          NPT=  781  R0=0.00010000 RMT=    1.6400   Z:  8.0
> > LOCAL ROT MATRIX:    1.0000000 0.0000000 0.0000000
> >                       0.0000000 1.0000000 0.0000000
> >                       0.0000000 0.0000000 1.0000000
> > ATOM  -4: X=0.00000000 Y=0.00000000 Z=0.16316250
> >            MULT= 2          ISPLIT=-2
> >        -4: X=0.00000000 Y=0.00000000 Z=0.83683750
> > O          NPT=  781  R0=0.00010000 RMT=    1.6400   Z:  8.0
> > LOCAL ROT MATRIX:    1.0000000 0.0000000 0.0000000
> >                       0.0000000 1.0000000 0.0000000
> >                       0.0000000 0.0000000 1.0000000
> >    16      NUMBER OF SYMMETRY OPERATIONS
> >   1 0 0 0.00000000
> >   0-1 0 0.00000000
> >   0 0-1 0.00000000
> >         1
> >   0-1 0 0.00000000
> >   1 0 0 0.00000000
> >   0 0-1 0.00000000
> >         2
> > -1 0 0 0.00000000
> >   0-1 0 0.00000000
> >   0 0-1 0.00000000
> >         3
> >   0 1 0 0.00000000
> >   1 0 0 0.00000000
> >   0 0-1 0.00000000
> >         4
> >   0-1 0 0.00000000
> > -1 0 0 0.00000000
> >   0 0-1 0.00000000
> >         5
> >   1 0 0 0.00000000
> >   0 1 0 0.00000000
> >   0 0-1 0.00000000
> >         6
> >   1 0 0 0.00000000
> >   0-1 0 0.00000000
> >   0 0 1 0.00000000
> >         7
> >   0-1 0 0.00000000
> >   1 0 0 0.00000000
> >   0 0 1 0.00000000
> >         8
> >   0 1 0 0.00000000
> > -1 0 0 0.00000000
> >   0 0-1 0.00000000
> >         9
> > -1 0 0 0.00000000
> >   0 1 0 0.00000000
> >   0 0-1 0.00000000
> >        10
> > -1 0 0 0.00000000
> >   0-1 0 0.00000000
> >   0 0 1 0.00000000
> >        11
> >   0 1 0 0.00000000
> >   1 0 0 0.00000000
> >   0 0 1 0.00000000
> >        12
> >   0-1 0 0.00000000
> > -1 0 0 0.00000000
> >   0 0 1 0.00000000
> >        13
> >   1 0 0 0.00000000
> >   0 1 0 0.00000000
> >   0 0 1 0.00000000
> >        14
> >   0 1 0 0.00000000
> > -1 0 0 0.00000000
> >   0 0 1 0.00000000
> >        15
> > -1 0 0 0.00000000
> >   0 1 0 0.00000000
> >   0 0 1 0.00000000
> >        16
> > ------Sr2IrO4_I4mmm_undistorted.inso-------------------------
> > WFFIL
> >   4  1  0                      llmax,ipr,kpot
> >   -10.0000   1.50000           emin,emax (output energy window)
> >     0.  0.  1.                 direction of magnetization (lattice
> > vectors)
> >   0                            number of atoms for which RLO is 
added
> >   0                            number of atoms for which SO is 
switch off;
> >   atoms
> > ------Sr2IrO4_I4mmm_undistorted.cf2--------------------------
> >   0.00000  0.00000  0.00000 0.00000  0. 0.  1. 0.  0.00000  0.00000  
0.
> > 00000  0.00000  0. 0.  0. 0.  0.00000 0.00000  0.00000 0.00000 j3/
2jz+3/
> > 2
> >   0.00000  0.00000  0.00000 0.00000  0. 0.  0. 0.  0.00000  0.00000  
0.
> > 00000  0.00000  1. 0.  0. 0.  0.00000 0.00000  0.00000 0.00000 j3/
2jz-3/
> > 2
> >   0.00000 -0.57735  0.00000 0.00000  0. 0.  0. 0.  0.00000  0.57735  
0.
> > 00000  0.00000  0. 0.  0. 0.  0.57735 0.00000  0.00000 0.00000 j3/
2jz+1/
> > 2
> >   0.00000  0.00000  0.57735 0.00000  0. 0.  0. 0.  0.00000  0.00000  
0.
> > 00000 -0.57735  0. 0.  0. 0.  0.00000 0.00000  0.00000 0.57735 j3/
2jz-1/
> > 2
> >   0.00000  0.40825  0.00000 0.00000  0. 0.  0. 0.  0.00000 -0.40825  
0.
> > 00000  0.00000  0. 0.  0. 0.  0.81650 0.00000  0.00000 0.00000 j1/
2jz+1/
> > 2
> >   0.00000  0.00000 -0.81650 0.00000  0. 0.  0. 0.  0.00000  0.00000  
0.
> > 00000 -0.40825  0. 0.  0. 0.  0.00000 0.00000  0.00000 0.40825 j1/
2jz-1/
> > 2
> >   0.00000  0.00000  0.00000 0.00000  1. 0.  0. 0.  0.00000  0.00000  
0.
> > 00000  0.00000  0. 0.  0. 0.  0.00000 0.00000  0.00000 0.00000 z2u
> >   0.00000  0.00000  0.00000 0.00000  0. 0.  0. 0.  0.00000  0.00000  
0.
> > 00000  0.00000  0. 0.  1. 0.  0.00000 0.00000  0.00000 0.00000 z2d
> >   0.70711  0.00000  0.00000 0.00000  0. 0.  0. 0.  0.70711  0.00000  
0.
> > 00000  0.00000  0. 0.  0. 0.  0.00000 0.00000  0.00000 0.00000 x2y2u
> >   0.00000  0.00000  0.00000 0.00000  0. 0.  0. 0.  0.00000  0.00000  
0.
> > 70711  0.00000  0. 0.  0. 0.  0.00000 0.00000  0.70711 0.00000 x2y2d
> > ------Sr2IrO4_I4mmm_undistorted.inq---------------------------
> > -9.0   3.0           Emin  Emax
> >     4                 number of atoms
> >     1  -2  0  0       iatom,qsplit,symmetrize,locrot
> > 3   0  1  2          nL, l-values
> >     2   6  0  0       iatom,qsplit,symmetrize,locrot
> > 1   2                nL, l-values
> >     3  -2  0  0       iatom,qsplit,symmetrize,locrot
> > 2   0  1             nL, l-values
> >     4  -2  0  0       iatom,qsplit,symmetrize,locrot
> > 2   0  1             nL, l-values
> > --------------------------------------------------------------
> >
> >
> >
> > _______________________________________________
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> > Wien at zeus.theochem.tuwien.ac.at
> > http://zeus.theochem.tuwien.ac.at/mailman/listinfo/wien
> > SEARCH the MAILING-LIST at:  http://www.mail-archive.com/wien@zeus.theochem.tuwien.ac.at/index.html

> >
> 
> -- 
> 
>                                        P.Blaha
> ----------------------------------------------------------------------
----
> Peter BLAHA, Inst.f. Materials Chemistry, TU Vienna, A-1060 Vienna
> Phone: +43-1-58801-165300             FAX: +43-1-58801-165982
> Email: blaha at theochem.tuwien.ac.at    WWW: 
> http://info.tuwien.ac.at/theochem/
> ----------------------------------------------------------------------
----
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