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sfluid.py
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"""
-------------------------------------------------------------------
Copyright (C) 2016-2020, Andrew W. Steiner
This python code utilizes the superconducting material properties data
compiled by P.J. Ray at
http://dx.doi.org/10.6084/m9.figshare.2075680.v2 (see below)
This program is free software; you can redistribute it
and/or modify it under the terms of the GNU General Public License
as published by the Free Software Foundation; either version 3 of
the License, or (at your option) any later version.
This program is distributed in the hope that it will be
useful, but WITHOUT ANY WARRANTY; without even the implied warranty
of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
General Public License for more details.
You should have received a copy of the GNU General Public License
along with this program. If not, see <http://www.gnu.org/licenses/>.
-------------------------------------------------------------------
"""
import matplotlib.pyplot as plot
# Material, original time coordinate, original temperature coordinate,
# from P.J. Ray at
#
# @MastersThesis{PJRay2015, author = {Pia Jensen Ray}, title =
# {{Structural investigation of La(2-x)Sr(x)CuO(4+y) - Following staging
# as a function of temperature}}, school = {Niels Bohr Institute, Faculty
# of Science, University of Copenhagen}, address = {Copenhagen, Denmark},
# year = {2015}, month = {November}, doi =
# {10.6084/m9.figshare.2075680.v2}, url = {http://fys.bozack.dk/docs/master}}
#
# Fourth and fifth columns are used for label positioning
#
def time(x):
if (x<2):
yr=1900+40*x
else:
yr=1970+5*x
return yr
def tptr(x):
if (x<125):
tptr=x*0.4
else:
tptr=x*2-200
return tptr
dat=[
# BCS superconductors
['Hg',0.299320,10.859729,1,1,1,0],
['Pb',0.353741,18.099548,1,1,1,0],
['Nb',0.829932,23.981900,1,1,1,0],
['NbN',1.034014,41.628959,1,1,1,0],
[r'V_3Si',1.319728,43.891403,1,1,1,0],
[r'Nb_3Sn',1.346939,46.606335,1,1,1,0],
[r'Nb_3Ge',1.809524,59.728507,1,1,1,0],
['BKBO',3.687075,77.828054,1,1,1,0],
[r'YbPd2B$_2$C',4.870748,59.276018,1,1,1,0],
[r'MgB_2',6.217687,103.167421,1,1,1,0],
# Heavy fermion superconductors
[r'CeCu$_2$Si$_2$',1.931973,2.262443,2,1,1,0],
[r'UBe_{13}',2.707483,2.262443,2,1,1,0],
[r'UPt_3',2.911565,2.262443,2,1,1,0],
[r'UPd_2Al_3',4.285714,5.429864,2,1,1,0],
[r'CeCoIn_5',6.231293,5.882353,2,1,1,0],
[r'PuCoGa_5',6.421769,48.416290,2,1,1,0],
[r'PuRhGa_5',6.612245,22.624434,2,1,1,0],
# Cuprates
['LaBaCuO',3.306122,77.375566,3,1,1,0],
['YBaCuO',3.496599,154.298643,3,1,1,0],
['BiSrCaCuO',3.687075,166.515837,3,1,1,0],
['TlBaCaCuO',3.700680,169.230769,3,1,1,0],
['HgBaCaCuO',4.666667,172.398190,3,1,1,0],
['HgTlBaCaCuO',4.870748,185.067873,3,1,1,0],
['HgBaCaCuO @ 30~GPa',5.047619,173.755656,3,0.985,1.1,1],
['LaSrCuO',3.350000,90,3,1,1,0],
# Fullerenes
[r'K_3C_{60}',4.272109,48.868778,4,1,1,0],
[r'RbCsC_{60}',4.272109,84.615385,4,1,1,0],
[r'Cs$_3$C$_{60}$ @ 1.4~GPa',5.061224,102.262443,4,1,1.25,1],
# Carbon nanotubes and diamonds
['CNT',6.217687,0.904977,5,1,1,0],
['diamond',6.816327,11.764706,5,1,1,0],
['CNT',7.197279,31.221719,5,1,1,0],
# Iron-based superconductors
['LaOFeP',7.200000,8.750000,6,1,1,0],
['LaOFFeAs',7.600000,62.500000,6,1,1,0],
['SrFFeAs',7.800000,132.579186,6,1,1,0],
['FeSe film',9,150,6,1,1,0],
['SmOFFeAs',7.600000,107.500000,6,1,1,0],
# BCS superconductors at high pressure
['Li @ 33~GPa',6.421769,41.628959,7,0.99,0.95,1],
[r'H$_2$S @ 155~GPa',9,203,7,1,1.25,1]
]
# Initial figure setup
lmar=0.14
bmar=0.12
rmar=0.04
tmar=0.04
plot.rc('text',usetex=True)
plot.rc('font',family='serif')
plot.rcParams['lines.linewidth']=0.5
fig=plot.figure(1,figsize=(6.0,6.0))
fig.set_facecolor('white')
ax=plot.axes([lmar,bmar,1.0-lmar-rmar,1.0-tmar-bmar])
ax.minorticks_on()
ax.tick_params('both',length=12,width=1,which='major')
ax.tick_params('both',length=5,width=1,which='minor')
plot.grid(False)
# First plot
y_scale=1.25
x_scale=1.0
plot.xlim([1900,2040])
plot.ylim([2.0e-1,4.0e2])
for i in range(0,len(dat)):
if dat[i][6]==0:
if dat[i][3]==1:
plot.semilogy(time(dat[i][1]),tptr(dat[i][2]),
marker='o',mfc='blue',mew=0)
elif dat[i][3]==2:
plot.semilogy(time(dat[i][1]),tptr(dat[i][2]),
marker='o',mfc='salmon',mew=0)
elif dat[i][3]==3:
plot.semilogy(time(dat[i][1]),tptr(dat[i][2]),
marker='o',mfc='gold',mew=0)
elif dat[i][3]==4:
plot.semilogy(time(dat[i][1]),tptr(dat[i][2]),
marker='o',mfc='cyan',mew=0)
elif dat[i][3]==5:
plot.semilogy(time(dat[i][1]),tptr(dat[i][2]),
marker='o',mfc='dimgray',mew=0)
elif dat[i][3]==6:
plot.semilogy(time(dat[i][1]),tptr(dat[i][2]),
marker='o',mfc='red',mew=0)
elif dat[i][3]==7:
plot.semilogy(time(dat[i][1]),tptr(dat[i][2]),
marker='o',mfc='blue',mew=0)
if i<3:
ax.text(time(dat[i][1])*x_scale*dat[i][4],
tptr(dat[i][2])*y_scale*dat[i][5],dat[i][0],
fontsize=12,va='center',ha='center',color='blue')
ax.text(0.1,0.55,'BCS',transform=ax.transAxes,
fontsize=12,va='center',ha='center',color='blue')
ax.text(0.55,0.25,'Heavy fermion',transform=ax.transAxes,
fontsize=12,va='center',ha='center',color='salmon')
ax.text(0.53,0.85,'Cuprates',transform=ax.transAxes,
fontsize=12,va='center',ha='center',color='gold')
ax.text(0.6,0.54,'Fullerenes',transform=ax.transAxes,
fontsize=12,va='center',ha='center',color='cyan')
ax.text(0.86,0.1,'Carbon-based',transform=ax.transAxes,
fontsize=12,va='center',ha='center',color='dimgray')
ax.text(0.88,0.7,'Iron-based',transform=ax.transAxes,
fontsize=12,va='center',ha='center',color='red')
ax.text(0.5,-0.1,'Discovery year',
transform=ax.transAxes,
fontsize=12,va='center',ha='center')
ax.text(-0.1,0.5,r'$T_C$ (K)',rotation=90,
transform=ax.transAxes,
fontsize=12,va='center',ha='center')
plot.savefig('sfluid1.png')
#plot.show()
plot.clf()
# Second plot
y_scale=1.0
x_scale=1.0
ax=plot.axes([lmar,bmar,1.0-lmar-rmar,1.0-tmar-bmar])
ax.minorticks_on()
ax.tick_params('both',length=12,width=1,which='major')
ax.tick_params('both',length=5,width=1,which='minor')
plot.xlim([1900,2040])
plot.ylim([2.0e-1,4.0e2])
for i in range(0,len(dat)):
if dat[i][6]==1:
if dat[i][3]==3:
ax.text(time(dat[i][1])*x_scale*dat[i][4],
tptr(dat[i][2])*y_scale*dat[i][5],dat[i][0],
fontsize=12,va='center',ha='center',color='black')
elif dat[i][3]==4:
ax.text(time(dat[i][1])*x_scale*dat[i][4],
tptr(dat[i][2])*y_scale*dat[i][5],dat[i][0],
fontsize=12,va='center',ha='center',color='black')
elif dat[i][3]==7:
ax.text(time(dat[i][1])*x_scale*dat[i][4],
tptr(dat[i][2])*y_scale*dat[i][5],dat[i][0],
fontsize=12,va='center',ha='center',color='black')
if dat[i][3]==1:
plot.semilogy(time(dat[i][1]),tptr(dat[i][2]),
marker='o',mfc='blue',mew=0)
elif dat[i][3]==2:
plot.semilogy(time(dat[i][1]),tptr(dat[i][2]),
marker='o',mfc='salmon',mew=0)
elif dat[i][3]==3:
plot.semilogy(time(dat[i][1]),tptr(dat[i][2]),
marker='o',mfc='gold',mew=0)
elif dat[i][3]==4:
plot.semilogy(time(dat[i][1]),tptr(dat[i][2]),
marker='o',mfc='cyan',mew=0)
elif dat[i][3]==5:
plot.semilogy(time(dat[i][1]),tptr(dat[i][2]),
marker='o',mfc='dimgray',mew=0)
elif dat[i][3]==6:
plot.semilogy(time(dat[i][1]),tptr(dat[i][2]),
marker='o',mfc='red',mew=0)
elif dat[i][3]==7:
if i==len(dat)-1:
plot.semilogy(time(dat[i][1]),tptr(dat[i][2]),
marker='o',mfc='none',mew=1,mec='blue')
else:
plot.semilogy(time(dat[i][1]),tptr(dat[i][2]),
marker='o',mfc='blue',mew=0)
ax.text(0.1,0.55,'BCS',transform=ax.transAxes,
fontsize=12,va='center',ha='center',color='blue')
ax.text(0.55,0.25,'Heavy fermion',transform=ax.transAxes,
fontsize=12,va='center',ha='center',color='salmon')
ax.text(0.53,0.85,'Cuprates',transform=ax.transAxes,
fontsize=12,va='center',ha='center',color='gold')
ax.text(0.6,0.54,'Fullerenes',transform=ax.transAxes,
fontsize=12,va='center',ha='center',color='cyan')
ax.text(0.86,0.1,'Carbon-based',transform=ax.transAxes,
fontsize=12,va='center',ha='center',color='dimgray')
ax.text(0.88,0.7,'Iron-based',transform=ax.transAxes,
fontsize=12,va='center',ha='center',color='red')
ax.text(0.5,-0.1,'Discovery year',
transform=ax.transAxes,
fontsize=12,va='center',ha='center')
ax.text(-0.1,0.5,r'$T_C$ (K)',rotation=90,
transform=ax.transAxes,
fontsize=12,va='center',ha='center')
plot.savefig('sfluid2.png')
#plot.show()
plot.clf()
# Third plot
ax=plot.axes([lmar,bmar,1.0-lmar-rmar,1.0-tmar-bmar])
ax.minorticks_on()
ax.tick_params('both',length=12,width=1,which='major')
ax.tick_params('both',length=5,width=1,which='minor')
plot.xlim([1900,2040])
plot.ylim([2.0e-1,4.0e11])
for i in range(0,len(dat)):
if dat[i][3]==1:
plot.semilogy(time(dat[i][1]),tptr(dat[i][2]),
marker='o',mfc='blue',mew=0)
elif dat[i][3]==2:
plot.semilogy(time(dat[i][1]),tptr(dat[i][2]),
marker='o',mfc='salmon',mew=0)
elif dat[i][3]==3:
plot.semilogy(time(dat[i][1]),tptr(dat[i][2]),
marker='o',mfc='gold',mew=0)
elif dat[i][3]==4:
plot.semilogy(time(dat[i][1]),tptr(dat[i][2]),
marker='o',mfc='cyan',mew=0)
elif dat[i][3]==5:
plot.semilogy(time(dat[i][1]),tptr(dat[i][2]),
marker='o',mfc='dimgray',mew=0)
elif dat[i][3]==6:
plot.semilogy(time(dat[i][1]),tptr(dat[i][2]),
marker='o',mfc='red',mew=0)
elif dat[i][3]==7:
if i==len(dat)-1:
plot.semilogy(time(dat[i][1]),tptr(dat[i][2]),
marker='o',mec='blue',mew=1,mfc='none')
else:
plot.semilogy(time(dat[i][1]),tptr(dat[i][2]),
marker='o',mfc='blue',mew=0)
x_scale=1.004
y_scale=1.0
plot.semilogy(2009,1.2e10,marker='o',mfc='green',mew=0)
ax.text(2009*x_scale,1.2e10*y_scale,r'$^{1}S_0$ n',
fontsize=12,va='center',ha='center')
plot.semilogy(2009,4.0e9,marker='o',mfc='green',mew=0)
ax.text(2009*x_scale,4.0e9*y_scale,r'$^{1}S_0$ p',
fontsize=12,va='center',ha='center')
plot.semilogy(2009,5.0e8,marker='o',mfc='green',mew=0)
ax.text(2009*x_scale,5.0e8*y_scale,r'$^{3}P_2$ n',
fontsize=12,va='center',ha='center')
plot.semilogy(1958,3.5e10,marker='o',mfc='green',mew=0)
ax.text(1960*x_scale,3.0e10*y_scale,r'(Z,N)',
fontsize=12,va='center',ha='center')
plot.semilogy(1977,1.6e10,marker='o',mec='purple',mfc='none',mew=1)
ax.text(1977*x_scale,1.6e10*y_scale,r'uds',
fontsize=12,va='center',ha='center')
ax.text(1965,7.5e10,'Bohr and Mottelson (1957)',
fontsize=12,va='center',ha='right')
ax.text(2007,7.0e9,'Brown and Cumming (2009)',
fontsize=12,va='center',ha='right')
ax.text(2007,3.4e10,'Barrois (1977)',
fontsize=12,va='center',ha='right')
ax.text(2010,1.3e9,'Page et al. (2009)',
fontsize=12,va='center',ha='right')
ax.text(0.5,-0.1,'Discovery year',
transform=ax.transAxes,
fontsize=12,va='center',ha='center')
ax.text(-0.1,0.5,r'$T_C$ (K)',rotation=90,
transform=ax.transAxes,
fontsize=12,va='center',ha='center')
plot.savefig('sfluid3.png')
#plot.show()