Dear Laurence

Thank you so much for your detailled replies.

I agree that something curious happens here. In particular, my surprise is why the convergency is fast and leads to a ferromagnetic solution in GGA+U and not in PBE0 on-site hybrid. These two schemes must be quite similar in the way they correct the GGA eigenvalues. I will continue to test the different options of mixer. Just one question, I didn't know the :MV keyword. Where should I find it?

Best Regards

Xavier

Le 20/01/2017 à 22:16, Laurence Marks a écrit :
I can provide some partial responses, although there are also some things that I don't understand. Some of this (maybe most) is not the mixer but in other parts of Wien2k.

First, the old (2008) version is there if you use MSEC1, but I have not tested it and it may fail. Better is to use MSEC3 which is almost the old version. For some classes of problems this is more stable than MSR1, and works better. If you are talking about the pre-multisecant version (BROYD) that vanished some time ago.

Second, there is a nasty "feature" particularly for +U (eece) cases, which is partially discussed in the mixer Readme. There is no guarantee that a solution exists -- the KS theorem is for densities but U is an orbital term. It is very possible to have cases where there is no fixed-point solution. The older MSEC1 (maybe BROYD) could find a fake solution where the density was consistent but the orbital potential was not. The latest version is much better in avoiding them and going for "real" solutions rather than being trapped. For orbital potentials it is very important to look at :MV to check that one really has a self-consistent orbital potential.

Third, there are cases where PBE (and all the GGA's in Wien2k that I have tested) give unphysical results when applied to isolated d or f electrons as done for -eece. I guess that the GGA functionals were not designed for the densities of just high L orbitals. This leads to very bad behavior of the mixing. I know of no way to solve this in the mixer, it is a structural problem. It goes away if LDA is used as the form for VXC in -eece.

Fourth, larger problem with low symmetry (P1 in particular) can certainly behave badly. Part of this might be "somewhere" in Wien2k coding, part of it is generic to a low symmetry problem. In many cases these have small eigenvalues in the mixing Jacobian which are removed when symmetry is imposed. All one can do is use MSEC3 or some of the additional flags (see the mixer README) such as "SLOW".

Fifth...probably exists, but I can't think of it immediately.

On Fri, Jan 20, 2017 at 2:03 PM, Xavier Rocquefelte <xavier.rocquefe...@univ-rennes1.fr <mailto:xavier.rocquefe...@univ-rennes1.fr>> wrote:

    Dear Colleagues

    I did recently a calculation which has been published long time ago
    using a old WIEN2k version (in 2008).

    It corresponds to a spin-polarized calculation for the compound
    CuO. The
    symmetry is removed and the idea is to estimate the total energies for
    different magnetic orders to extract magnetic couplings from a mapping
    analysis. Such calculations were converging fastly without any trouble
    in 2008.

    Here I have started from the scratch with a case.cif file to generate
    the case.struct file and initializing the calculation in a
    standard manner.

    Then I wanted to have the energy related to a ferromagnetic situation
    (not the more stable). I have 8 copper sites in the unit cell I am
    using.

    When this calculation is done using PBE+U everything goes fine.
    However
    when PBE0 hybrid on-site functional is used we observed
    oscillations and
    the magnetic moment disappear, which is definitely not correct. It
    should be mentionned that the convergency is really bad. If we do a
    similar calculation on the cristallographic unit cell (2 copper sites
    only) the calculations converge both in PBE+U and PBE0.

    The convergency problems only arises for low-symmetry and high
    number of
    magnetic elements. I didn't have such problems before and I wonder
    if we
    could still use old mixer scheme in such situations. Looking at the
    userguide, it seems that the mixer does not allow to do as before and
    PRATT mixer is too slow.

    Did you encounter similar difficulties (which were not in older WIEN2k
    versions)?

    Best Regards

    Xavier

    Here is the case.struct:

    blebleble
    P   LATTICE,NONEQUIV.ATOMS: 16 1_P1
    MODE OF CALC=RELA unit=bohr
      14.167163  6.467777 11.993298 90.000000 95.267000 90.000000
    ATOM  -1: X=0.87500000 Y=0.75000000 Z=0.87500000
               MULT= 1          ISPLIT= 8
    Cu         NPT=  781  R0=0.00005000 RMT=    1.9700   Z: 29.0
    LOCAL ROT MATRIX:    1.0000000 0.0000000 0.0000000
                          0.0000000 1.0000000 0.0000000
                          0.0000000 0.0000000 1.0000000
    ATOM  -2: X=0.12500000 Y=0.25000000 Z=0.62500000
               MULT= 1          ISPLIT= 8
    Cu         NPT=  781  R0=0.00005000 RMT=    1.9700   Z: 29.0
    LOCAL ROT MATRIX:    1.0000000 0.0000000 0.0000000
                          0.0000000 1.0000000 0.0000000
                          0.0000000 0.0000000 1.0000000
    ATOM  -3: X=0.12500000 Y=0.25000000 Z=0.12500000
               MULT= 1          ISPLIT= 8
    Cu         NPT=  781  R0=0.00005000 RMT=    1.9700   Z: 29.0
    LOCAL ROT MATRIX:    1.0000000 0.0000000 0.0000000
                          0.0000000 1.0000000 0.0000000
                          0.0000000 0.0000000 1.0000000
    ATOM  -4: X=0.87500000 Y=0.75000000 Z=0.37500000
               MULT= 1          ISPLIT= 8
    Cu         NPT=  781  R0=0.00005000 RMT=    1.9700   Z: 29.0
    LOCAL ROT MATRIX:    1.0000000 0.0000000 0.0000000
                          0.0000000 1.0000000 0.0000000
                          0.0000000 0.0000000 1.0000000
    ATOM  -5: X=0.62500000 Y=0.25000000 Z=0.62500000
               MULT= 1          ISPLIT= 8
    Cu         NPT=  781  R0=0.00005000 RMT=    1.9700   Z: 29.0
    LOCAL ROT MATRIX:    1.0000000 0.0000000 0.0000000
                          0.0000000 1.0000000 0.0000000
                          0.0000000 0.0000000 1.0000000
    ATOM  -6: X=0.37500000 Y=0.75000000 Z=0.87500000
               MULT= 1          ISPLIT= 8
    Cu         NPT=  781  R0=0.00005000 RMT=    1.9700   Z: 29.0
    LOCAL ROT MATRIX:    1.0000000 0.0000000 0.0000000
                          0.0000000 1.0000000 0.0000000
                          0.0000000 0.0000000 1.0000000
    ATOM  -7: X=0.37500000 Y=0.75000000 Z=0.37500000
               MULT= 1          ISPLIT= 8
    Cu         NPT=  781  R0=0.00005000 RMT=    1.9700   Z: 29.0
    LOCAL ROT MATRIX:    1.0000000 0.0000000 0.0000000
                          0.0000000 1.0000000 0.0000000
                          0.0000000 0.0000000 1.0000000
    ATOM  -8: X=0.62500000 Y=0.25000000 Z=0.12500000
               MULT= 1          ISPLIT= 8
    Cu         NPT=  781  R0=0.00005000 RMT=    1.9700   Z: 29.0
    LOCAL ROT MATRIX:    1.0000000 0.0000000 0.0000000
                          0.0000000 1.0000000 0.0000000
                          0.0000000 0.0000000 1.0000000
    ATOM  -9: X=0.87500000 Y=0.41840000 Z=0.62500000
               MULT= 1          ISPLIT= 8
    O          NPT=  781  R0=0.00010000 RMT=    1.6900   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 -10: X=0.12500000 Y=0.91840000 Z=0.87500000
               MULT= 1          ISPLIT= 8
    O          NPT=  781  R0=0.00010000 RMT=    1.6900   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 -11: X=0.12500000 Y=0.58160000 Z=0.37500000
               MULT= 1          ISPLIT= 8
    O          NPT=  781  R0=0.00010000 RMT=    1.6900   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 -12: X=0.87500000 Y=0.08160000 Z=0.12500000
               MULT= 1          ISPLIT= 8
    O          NPT=  781  R0=0.00010000 RMT=    1.6900   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 -13: X=0.62500000 Y=0.58160000 Z=0.87500000
               MULT= 1          ISPLIT= 8
    O          NPT=  781  R0=0.00010000 RMT=    1.6900   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 -14: X=0.37500000 Y=0.08160000 Z=0.62500000
               MULT= 1          ISPLIT= 8
    O          NPT=  781  R0=0.00010000 RMT=    1.6900   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 -15: X=0.37500000 Y=0.41840000 Z=0.12500000
               MULT= 1          ISPLIT= 8
    O          NPT=  781  R0=0.00010000 RMT=    1.6900   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 -16: X=0.62500000 Y=0.91840000 Z=0.37500000
               MULT= 1          ISPLIT= 8
    O          NPT=  781  R0=0.00010000 RMT=    1.6900   Z: 8.0
    LOCAL ROT MATRIX:    1.0000000 0.0000000 0.0000000
                          0.0000000 1.0000000 0.0000000
                          0.0000000 0.0000000 1.0000000
        1      NUMBER OF SYMMETRY OPERATIONS
      1 0 0 0.00000000
      0 1 0 0.00000000
      0 0 1 0.00000000
            1

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--
Professor Laurence Marks
"Research is to see what everybody else has seen, and to think what nobody else has thought", Albert Szent-Gyorgi www.numis.northwestern.edu <http://www.numis.northwestern.edu> ; Corrosion in 4D: MURI4D.numis.northwestern.edu <http://MURI4D.numis.northwestern.edu> Partner of the CFW 100% program for gender equity, www.cfw.org/100-percent <http://www.cfw.org/100-percent>
Co-Editor, Acta Cryst A


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