材料光学性子(介电函数)的由下面第一个式子描述,而对应的实部和虚部由后面两个公式给出(更多参数详情请阅读VASPKIT英文文章,https://arxiv.org/abs/1908.08269,如利用了干系功能务必帮我们引用,感谢!
):
二维材料光学性子打算的理论公式如下:
截图来源:DOI: 10.1021/acsnano.9b06698
本文以二维InSe材料(晶体构造如下所示)为例,详细先容了二维InSe的光学性子打算过程。
截图来源:Nanoscale, 2018, 10, 11441–11451.
2、构造优化
INCAR
SYSTEM = 2D_InSe
ISTART = 0
NWRITE = 2
PREC = Accurate
ENCUT = 500
GGA = PE
NSW = 200
ISIF = 3
ISYM = 2
NBLOCK = 1
KBLOCK = 1
IBRION = 2
NELM = 80
EDIFF = 1E-05
EDIFFG = -0.01
ALGO = Normal
LDIAG = .TRUE.
LREAL = .FALSE.
ISMEAR = 0
SIGMA = 0.02
ICHARG = 2
LPLANE = .TRUE.
NPAR = 4
LSCALU = .FALSE.
NSIM = 4
LWAVE = .FALSE.
LCHARG = .FALSE.
ICORELEVEL = 1
POSCAR
2D_InSe
1.0
4.0836000443 0.0000000000 0.0000000000
-2.0418000221 3.5365013772 0.0000000000
0.0000000000 0.0000000000 25.3775005341
In Se
2 2
Direct
0.666670026 0.333330010 0.589979992
0.666670026 0.333330010 0.478789968
0.333329978 0.666669998 0.428439986
0.333329978 0.666669998 0.640340007
KPOINTS
Monkhorst Pack of Gamma centered
0
Gamma
13 13 1
0.0 0.0 0.0
POTCAR
cat In_d/POTCAR Se/POTCAR > POTCAR
OPTCELL
100
110
000
3、静态自洽
INCAR
SYSTEM = 2D_InSe
ISTART = 0
NWRITE = 2
PREC = Accurate
ENCUT = 500
GGA = PE
NSW = 0
ISIF = 2
ISYM = 2
NBLOCK = 1
KBLOCK = 1
IBRION = -1
NELM = 80
EDIFF = 1E-05
EDIFFG = -0.01
ALGO = Normal
LDIAG = .TRUE.
LREAL = .FALSE.
ISMEAR = 0
SIGMA = 0.02
ICHARG = 2
LPLANE = .TRUE.
NPAR = 4
LSCALU = .FALSE.
NSIM = 4
LWAVE = .TRUE.
LCHARG = .TRUE.
ICORELEVEL = 1
POSCAR
cp CONTCAR POSCAR
KPOINTS
自洽打算哀求有密的k网格点,在打算条件许可的情形下哀求自洽的k网格点大致为优化时的2倍旁边。
Monkhorst Pack of Gamma centered
0
Gamma
25 25 1
0.0 0.0 0.0
4、光学性子打算
INCAR
SYSTEM = 2D_InSe
ISTART = 1
NWRITE = 2
PREC = Accurate
ENCUT = 500
GGA = PE
NSW = 0
ISIF = 2
ISYM = 2
NBLOCK = 1
KBLOCK = 1
IBRION = -1
NELM = 80
EDIFF = 1E-05
EDIFFG = -0.01
ALGO = Normal
LDIAG = .TRUE.
LREAL = .FALSE.
ISMEAR = 0
SIGMA = 0.02
ICHARG = 11
LPLANE = .TRUE.
NPAR = 4
LSCALU = .FALSE.
NSIM = 4
LWAVE = .FALSE.
LCHARG = .FALSE.
LOPTICS = .TRUE.
NBANDS = 72
NEDOS = 2000
CSHIFT = 0.1
KPOINTS
Monkhorst Pack of Gamma centered
0
Gamma
29 29 1
0.0 0.0 0.0
Note:对付光学性子的打算,也便是打算材料的介电函数,须要足够多的空带和致密的k网格点,使其达到非常好的收敛状态,我们才可以得到合理的光学性子;因此常日打算中,一样平常设置NBANDS为默认值(可在自洽的OUTCAR中以关键字NBANDS查找到)的2-3倍,k网格点为自洽值或适当增加。
别的的POSCAR、POTCAR不变,并哀求有WAVECAR和CHGCAR文件,以供读取。
5、数据处理
利用optics.sh脚本(脚本内容如下,VASPKIT1.0以上版本已经不须要单独运行此文件,可以直接运行711功能得到光学干系数据)得到介电函数的实部和虚部。
# extract image and real parts of dielectric function from vasprun.xml
awk 'BEGIN{i=1} /<imag>/,\
/<\/imag>/ \
{a[i]=$2 ; b[i]=$3 ; c[i]=$4; d[i]=$5 ; e[i]=$6 ; f[i]=$7; g[i]=$8; i=i+1} \
END{for (j=12;j<i-3;j++) print a[j],b[j],c[j],d[j],e[j],f[j],g[j]}' vasprun.xml > IMAG.in
#awk 'BEGIN{i=1} /imag/,\
# /\/imag/ \
# {a[i]=$2 ; b[i]=$3 ; c[i]=$4; d[i]=$5 ; e[i]=$6 ; f[i]=$7; g[i]=$8; i=i+1} \
# END{for (j=12;j<i-3;j++) print a[j],b[j],c[j],d[j],e[j],f[j],g[j]}' vasprun.xml > IMAG.in
awk 'BEGIN{i=1} /<real>/,\
/<\/real>/ \
{a[i]=$2 ; b[i]=$3 ; c[i]=$4; d[i]=$5 ; e[i]=$6 ; f[i]=$7; g[i]=$8; i=i+1} \
END{for (j=12;j<i-3;j++) print a[j],b[j],c[j],d[j],e[j],f[j],g[j]}' vasprun.xml > REAL.in
利用vaspkit-1.00后处理软件得到光学性子(详细公式见下面):
$ vaspkit-1.00
\\\///
/ _ _ \ Hey, you must know what you are doing.
(| (.)(.) |) Otherwise you might get wrong results!
+-----.OOOo----oOOO.------------------------------------------+
| VASPKIT Version: 1.00 (16 Sep. 2019) |
| A Pre- and Post-Processing Program for VASP Code |
| Core Developers: Vei WANG, Nan XU, Jin-Cheng LIU |
| Please send Bugs and Suggestions to vaspkit@gmail.com |
+-----.oooO-----------------------------------------------------+
Oooo.
\ (
\_) ) /
(_/
===================== Structural Options ========================
1) VASP Input Files Generator 2) Elastic-Properties
3) K-Path Generator 4) Structure Editor
5) Catalysis-ElectroChemi Kit 6) Symmetry Search
===================== Electronic Options ========================
11) Density-of-States 21) DFT Band-Structure
23) 3D Band-Structure 25) Hybrid-DFT Band-Structure
26) Fermi-Surface 28) Band-Structure Unfolding
=========== Charge & Potential & Wavefunction Options ===========
31) Charge & Spin Density 42) Potential-Related
51) Wave-Function Analysis
====================== Misc Utilities ===========================
71) Optical-Properties 72) Molecular-Dynamics Kit
73) VASP2BoltzTraP Interface
91) Semiconductor Calculator 92) 2D-Materials Kit
0) Quit
------------>>
71
============================ Optical Options ====================
711) Linear Optical Spectrums
712) Transition Dipole Moment at Single Kpoint
713) Transition Dipole Moment for Band-Structure
716) Total Joint Density of States
717) Partial Joint Density of States
0) Quit
9) Back
------------>>
711
+-------------------------- Warm Tips --------------------------+
See an example in vaspkit/examples/Si_bse_optical.
This module is NOT suitable for low-dimensional materials.
+---------------------------------------------------------------+
===================== Energy Unit ===============================
Which Energy Unit Do You Want to Adopt?
1) eV
2) nm
3) THz
------------>>
1
-->> (01) Reading IMAG.in and REAL.in Files...
-->> (02) Written Optical Files Succesfully!
+---------------------------------------------------------------+
| DISCLAIMER |
| Check the Consistency of Your Results if Necessary |
| Any Suggestions for Improvements are Welcome |
| (^.^) GOOD LUCK (^.^) |
|---------------------------------------------------------------|
| We Would Appreciate if You Cite in Your Research with VASPKIT.|
| Ref: V. Wang, N. Xu, J.C. LIU, G. Tang, et al, VASPKIT: A Pre-|
| and Post-Processing Program for VASP Code, arXiv:1908.08269. |
+---------------------------------------------------------------+
截图来源:arXiv:1908.08269 (VASPKIT英文文章).
得到的光学性子包括:光接管系数ABSORB.dat
#energy xx(cm^-1) yy(cm^-1) zz(cm^-1) xy(cm^-1) yz(cm^-1) zx(cm^-1)
0.000 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00
0.020 0.3820E+00 0.3820E+00 0.5428E+00 0.0000E+00 0.0000E+00 0.0000E+00
0.040 0.1415E+01 0.1415E+01 0.2057E+01 0.0000E+00 0.0000E+00 0.0000E+00
0.060 0.3268E+01 0.3268E+01 0.4714E+01 0.0000E+00 0.0000E+00 0.0000E+00
0.080 0.5885E+01 0.5885E+01 0.8238E+01 0.0000E+00 0.0000E+00 0.0000E+00
0.100 0.9265E+01 0.9265E+01 0.1301E+02 0.0000E+00 0.0000E+00 0.0000E+00
0.120 0.1307E+02 0.1307E+02 0.1885E+02 0.0000E+00 0.0000E+00 0.0000E+00
0.141 0.1792E+02 0.1792E+02 0.2540E+02 0.0000E+00 0.0000E+00 0.0000E+00
0.161 0.2353E+02 0.2353E+02 0.3336E+02 0.0000E+00 0.0000E+00 0.0000E+00
0.181 0.2990E+02 0.2990E+02 0.4240E+02 0.0000E+00 0.0000E+00 0.0000E+00
0.201 0.3701E+02 0.3702E+02 0.5250E+02 0.0000E+00 0.0000E+00 0.0000E+00
0.221 0.4431E+02 0.4431E+02 0.6369E+02 0.0000E+00 0.0000E+00 0.0000E+00
0.241 0.5290E+02 0.5290E+02 0.7596E+02 0.0000E+00 0.0000E+00 0.0000E+00
0.261 0.6223E+02 0.6223E+02 0.8927E+02 0.0000E+00 0.0000E+00 0.0000E+00
0.281 0.7233E+02 0.7234E+02 0.1037E+03 0.0000E+00 0.0000E+00 0.0000E+00
能量丢失谱ENERGYLOSSSPECTRUM.dat
消光系数EXTINCTION.dat
反射系数REFLECTIVITY.dat
折射系数REFRACTIVE.dat
可以选择自己感兴趣的性子进一步作图,例如对付接管系数作图如下:
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链接: https://yh-phys.github.io
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