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Regrading the plot of superconducting gap of MgB2

Posted: Mon Apr 23, 2018 4:27 am
by hellolori
Dear all,

I have a question regrading the plot of superconducting gap of MgB2 in the EPW tutorial, namely figure 4 in the website http://epw.org.uk/Documentation/MgB2. To simplify my question, we just focus on the data at temp = 10 K.

To obtain the related data, I run EPW with the following setting

Code: Select all

 
laniso = .true.
limag = .true.
lpade = .true.

conv_thr_iaxis = 1.0d-4
 wscut = 0.1 
nstemp   =    1
tempsmin = 10.00
tempsmax = 10.00
nsiter   = 500
muc     = 0.16
nk1         = 6
nk2         = 6
nk3         = 6
nq1         = 6
nq2         = 6
nq3         = 6
nkf1 = 20
nkf2 = 20
nkf3 = 20
nqf1 = 20
nqf2 = 20
nqf3 = 20


In my opinion, the data related to the plot contains in the file "MgB2.pade_aniso_gap0_010.00", consisting of two columns. The 1st line is related to the temperature and the 2nd line is related to the superconducting gap. For example, part of the file "MgB2.pade_aniso_gap0_010.00" is printed as follow:

Code: Select all

....
    1.0286346327E+01    2.8150685314E-03
    1.0369990290E+01    2.8200686531E-03
    1.0064873023E+01    2.8250687748E-03
    1.0001545623E+01    2.8300688965E-03
    1.0000703414E+01    2.8350690183E-03
    1.0032610942E+01    2.8400691400E-03
    1.0259129394E+01    2.8450692617E-03
    1.0530958890E+01    2.8500693834E-03
    1.0280679142E+01    2.8550695052E-03
    1.0025608716E+01    2.8600696269E-03
    1.0010925964E+01    2.8650697486E-03
    1.0155078076E+01    2.8700698703E-03
    1.0411548208E+01    2.8750699921E-03
    1.0383465780E+01    2.8800701138E-03
    1.0371572717E+01    2.8850702355E-03
    1.0160168949E+01    2.8900703572E-03
    1.0013832215E+01    2.8950704790E-03
    1.0000178533E+01    2.9000706007E-03
    1.0000000318E+01    2.9050707224E-03
    1.0000000002E+01    2.9100708441E-03
    1.0000003555E+01    2.9150709659E-03
    1.0000994098E+01    2.9200710876E-03
    1.0037942087E+01    2.9250712093E-03
    1.0221337382E+01    2.9300713310E-03
    1.0494768483E+01    2.9350714528E-03
    1.1000000000E+01    2.9400715745E-03
    1.0844934498E+01    2.9450716962E-03
    1.0347956585E+01    2.9500718179E-03
....

The figure 4 should be the histogram of the 2nd column according to the caption "For each temperature the histograms indicate the number of states on the Fermi surface with that superconducting gap energy". I can understand this when the 1st column are identical (e.g. =10 K). However, I find that though most temperatures in the 1st column are very close to 10 K, there are still a part exhibit a bit deviations from 10 K, as displayed above. I would like to know:

(1) Why there exist the above deviations. May be there is some problems with my calculations?
(2) I wonder if the data used to plot the figure as shown in the tutorial, have the similar feature, namely, the deviations from the target temperature of the 1st column. If it is the case, how to deal with those part of the data? Just skip them or enforce them to 10 K?

Bests!

Re: Regrading the plot of superconducting gap of MgB2

Posted: Mon Apr 23, 2018 4:32 pm
by roxana
Hi,

The 1st column should not be identical to 10 K, otherwise all you will see will be data on a straight line.

At the points where the 1st column is not 10K, the superconducting gap at that energy (2nd column) is not zero. The height (width of the curve) at each energy value is given by the number of points \Delta_nk on the Fermi surface with that value of the energy.

I hope this clarifies the meaning of the plot.

Best,
Roxana

Re: Regrading the plot of superconducting gap of MgB2

Posted: Tue Apr 24, 2018 2:50 am
by hellolori
roxana wrote:Hi,

The 1st column should not be identical to 10 K, otherwise all you will see will be data on a straight line.

At the points where the 1st column is not 10K, the superconducting gap at that energy (2nd column) is not zero. The height (width of the curve) at each energy value is given by the number of points \Delta_nk on the Fermi surface with that value of the energy.

I hope this clarifies the meaning of the plot.

Best,
Roxana


Dear Roxana,

I think I'm towards a positive direction of understanding that plot of figure.

By looking up the corresponding code of EPW and combining with your clarifies, I think the figure should be reproduced by using the 1st column as x axis and 2nd column as y axis. Am I right ?

Thank you again for your kindness!

Bests!

Re: Regrading the plot of superconducting gap of MgB2

Posted: Thu Apr 26, 2018 9:34 pm
by roxana
Hi,

Yes, you are correct!

Roxana