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ÕâÀïÒÔOptical properties and density functional perturbation theory (PT)Ò»½ÚµÄ·­ÒëΪÀý¡£ÆäÓàµÄÕ½ڴýÐø¡­¡­


Optical properties and density functional perturbation theory (PT)Ò»½ÚµÄĿ¼

http://cms.mpi.univie.ac.at/vasp/vasp/Optical_properties_density_functional_perturbation_theory_PT.html
1¡¢LOPTICS: frequency dependent dielectric matrix £¨ÒѾ­Íê³É£¬¸ÐлfranchÐüÉÍ50½ð±Ò£¬1stÇ¿Ìû1¸ö£©

2¡¢CSHIFT: complex shift in Kramers-Kronig transformation £¨ÒѾ­Íê³É£¬¸Ðлlzl8181£©

3¡¢LNABLA: transversal gauge £¨ÒѾ­Íê³É£¬¸Ðлlzl8181£©

4¡¢LEPSILON: static dielectric matrix, ion-clamped piezoelectric tensor and the Born effective charges using density functional perturbation theory £¨ÒѾ­Íê³É£¬¸Ðлlzl8181 £©

5¡¢LRPA: local field effects on the Hartree level (RPA) £¨ÒѾ­Íê³É£¬¸Ðлfranch£©

6¡¢Vibrational frequencies, relaxed-ion static dielectric tensor and relaxed-ion piezoelectric tensor(ÒѾ­Íê³É£¬¸Ðлlzl8181)

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http://d.namipan.com/d/0897b314d ... d6342c1719ae4a60000


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[ Last edited by wuli8 on 2010-12-7 at 23:45 ]
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ÐèÒª·­ÒëµÄÔ­ÎÄÈçÏÂ1¡¢LOPTICS: frequency dependent dielectric matrix

LOPTICS: frequency dependent dielectric matrix
LOPTICS= .TRUE. | .FALSE.

Default: LOPTICS=.FALSE.

If LOPTICS=.TRUE., VASP calculates the frequency dependent dielectric matrix after the electronic ground state has been determined. The imaginary part is determined by a summation over empty states using the equation:


(54)



where the indices  and  refer to conduction and valence band states respectively, and  is the cell periodic part of the orbitals at the k-point . The real part of the dielectric tensor  is obtained by the usual Kramers-Kronig transformation

(55)



where  denotes the principle value. The method is explained in detail in Ref. [84] (Eq. (15), (29) and (30) in Ref. [84]). The complex shift  is determined by the parameter CSHIFT (Sec. 6.65.2).
Note that local field effects, i.e. changes of the cell periodic part of the potential are neglected in this approximation. These can be evaluated using either the implemented density functional perturbation theory (see Sec. 6.65.4) or the GW routines (see Sec. 6.66). Furthermore the method selected using LOPTICS=.TRUE. requires an appreciable number of empty conduction band states. Reasonable results are usually only obtained, if the parameter NBANDS is roughly doubled or tripled in the INCAR file with respect to the VASP default. Furthermore it is emphasized that the routine works properly even for HF and screened exchange type calculations and hybrid functionals. In this case, finite differences are used to determine the derivatives of the Hamiltonian with respect to .

Note that the number of frequency grid points is determined by the parameter NEDOS (see Sec. 6.36). In many cases it is desirable to increase this parameter significantly from its default value. Values around 2000 are strongly recommended.



1¡¢LOPTICS:ƵÂÊÒÀÀµµÄ½éµç¾ØÕó
LOPTICS= .TRUE. | .FALSE.
Default: LOPTICS=.FALSE.
Èç¹ûLOPTICS=.TRUE.£¬Ôڵõ½µç×Ó»ù̬ºóVASP»á¼ÆËãÆµÂÊÒÀÀµµÄ½éµç¾ØÕ󡣯äÐ鲿ÓÉÏÂÃæµÄ·½³Ì¶Ô¿Õ̬»ý·ÖµÃµ½
       
ÆäÖÐϱꠠºÍ ·Ö±ð¶ÔÓ¦ÓÚµ¼´øºÍ½é´øµç×Ó̬£¬  ÊÇÔÚÈ·¶¨K-pointµã ¹ìµÀµÄ¾§°ûÖÜÆÚÐÔ²¿·Ö¡£½éµçÕÅÁ¿µÄʵ²¿ÓÉ¿ËÀ­Ä©-¿ËÀÊÄá¸ñ±ä»»µÃµ½¡£
        (55)
ÆäÖР ´ú±íÖ÷Öµ¡£ Õâ·½·¨µÄÔ­ÀíÔÚÎÄÏ×84(ÎÄÏ×84Öеķ½³Ì(15), (29)ºÍ (30))ÖÐÓоßÌå½âÊÍ¡£¸´ÊýÆ½ÒÆÁ¿  ÓвÎÊýCSHIFT¾ö¶¨¡£(Sec. 6.65.2).
ÐèҪעÒ⣬¾ÖÓò³¡Ð§Ó¦£¬Ò²¾ÍÊÇÊÆÄܵľ§°ûÖÜÆÚÐÔ²¿·ÖÔÚÕâÖÖ½üËÆÖб»ºöÂÔÁË¡£ÕâЩЧӦ¿ÉÒÔͨ¹ýÃܶȷºº¯Î¢ÈÅÀíÂÛ(see Sec. 6.65.4)»òÕßGW(see Sec. 6.66)³ÌÐòËã³ö¡£´ËÍ⣬ѡȡLOPTICS=.TRUEʱ£¬Õâ·½·¨ÐèÒªÏ൱¿É¹ÛÊýÁ¿µÄ¿Õµ¼´øµç×Ó̬¡£ºÏÀíµÄ½á¹ûÖ»ÄÜÊÇÔÚINCARÎļþÖеÄNBANDS Öµ´ó¸ÅÈ¡VASPĬÈÏÖµµÄ2£¬3±¶Ê±µÃµ½¡£ÁíÍ⣬ÕâÀïÐèÒªÖØµãÖ¸³öµÄÊÇ£¬hartree-fock£¬ÆÁ±Î½»»»ÀàÐ͵ļÆËãºÍÔÓ»¯·ºº¯µÄ³ÌÐò¡£ÕâÖÖÇé¿öÏ£¬ÓÃÓÐÏÞ²î·Ö·¨À´¾ö¶¨¹þÃܶÙÁ¿¹ØÓÚ µÄµ¼Êý¡£
ÐèҪעÒâµÄÊÇ£¬ÆµÂÊÍø¸ñµãµÄÊýÁ¿ÓɲÎÊýNEDOS(see Sec. 6.36)¾ö¶¨¡£ÔںܶàÇé¿öÏÂÐèÒªÔö¼ÓÕâ¸ö²ÎÊýÖµ£¬ÏÔÖøµÄ¸ßÓÚËüµÄĬÈÏÖµ¡£2000×óÓÒµÄÊýÖµÊÇÎÒÃÇÇ¿ÁÒÍÆ¼öµÄ¡£



word °æhttp://pic.muchong.com/file.php?id=138

[ Last edited by wuli8 on 2010-11-18 at 23:11 ]
2Â¥2010-11-13 23:47:23
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû
ÐèÒª·­ÒëµÄÔ­ÎÄÈçÏÂ2¡¢CSHIFT: complex shift in Kramers-Kronig transformation


CSHIFT= [real]

Default: CSHIFT=0.1

The implemented Kramers-Kronig transformation uses a small complex shift  CSHIFT in Eq. (6.49). The default for this shift is 0.1, which is perfectly acceptable for most calculations and causes a slight smoothening of the real part of the dielectric function. If the gap is very small (i.e. approaching two times CSHIFT), slight inaccuracies in the static dielectric constant are possible, which can be remedied by decreasing CSHIFT. If CSHIFT is further decreased, it is strongly recommended to increase the parameter NEDOS to values around 2000 (see Sec. 6.36).CSHIFT: ¿ËÀ­Ä©-¿ËÀÊÄá¸ñ±ä»»Öеĸ´ÔÓ£¨Êý£¿£©Òƶ¯
CSHIFT= [ʵÊý]     Default: CSHIFT=0.1  È±Ê¡ÉèÖÃÖµ£º0.1
ÔÚ¶ÔEq. (6.49)ʵʩ¿ËÀ­Ä©-¿ËÀÊÄá¸ñ±ä»»Ê±Ê¹ÓÃÁËÒ»¸öСµÄ¸´ÊýÒÆ¶¯  CSHIFT¡£È±Ê¡ÉèÖÃֵΪ0.1£¬Õâ¸öÖµ¶Ô´ó¶àÊý¼ÆËã¿ÉµÃ³ö¿É½ÓÊܵĽá¹û£¬Í¬Ê±¿Éʹ½éµçº¯ÊýµÄʵ²¿±äµÃƽ»¬¡£Èç¹ûÄÜ϶ºÜС£¨Ò²¾ÍÊǽӽüCSHIFTµÄ2±¶£©£¬¿ÉÄܻᵼÖ¼ÆËãËùµÃµÄ¾²Ì¬½éµçº¯ÊýÉÔÏÔ²»×¼È·£¬Õâ¿ÉÒÔͨ¹ý¼õСCSHIFT¶øµÃµ½ÐÞÕý¡£Èç¹ûCSHIFT½øÒ»²½¼õС£¬Ç¿ÁÒÍÆ¼öÔö´ó²ÎÊýNEDOSÖÁ2000×óÓÒ(see Sec. 6.36)
±¾ÎÄÀ´×Ô: Сľ³æÂÛ̳ http://muchong.com/bbs/viewthread.php?tid=2592318&fpage=1&view=&highlight=&page=2

[ Last edited by wuli8 on 2010-12-6 at 23:34 ]
3Â¥2010-11-13 23:47:30
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû
ÐèÒª·­ÒëµÄÔ­ÎÄÈçÏÂ4¡¢LEPSILON: static dielectric matrix, ion-clamped piezoelectric tensor and the Born effective charges using density functional perturbation theory LEPSILON= .TRUE. | .FALSE.

Default: LEPSILON=.FALSE.

Determines the static ion-clamped dielectric matrix using density functional perturbation theory. The dielectric matrix is calculated with and without local field effects. Usually local field effects are determined on the Hartree level, i.e. including changes of the Hartree potential. To include microscopic changes of the exchange correlation potential the tag LRPA=.FALSE. must be set (see Sec. 6.65.5). The method is explained in detail in Ref. [84], and follows closely the original work of Baroni and Resta.[85] A summation over empty conduction band states is not required, as opposed to the method selected by setting LOPTICS=.TRUE. (see Sec. 6.65.1). Instead, the usual expressions in perturbation theory


(57)



are rewritten as linear Sternheimer equations:






The solution of this equation involves similar iterative techniques as the conventional selfconsistency cycles. Hence, for each element of the dielectric matrix several lines will be written to the stdout and OSZICAR. These possess a similar structure as for conventional selfconsistent or non-selfconsistent calculations (a residual minimization scheme is used to solve the linear equation, other schemes such as Davidson do not apply to a linear equation):

       N       E              dE             d eps       ncg     rms          rms(c)
RMM:   1    -0.14800E+01   -0.85101E-01   -0.72835E+00   220   0.907E+00    0.146E+00
RMM:   2    -0.14248E+01    0.55195E-01   -0.27994E-01   221   0.449E+00    0.719E-01
RMM:   3    -0.13949E+01    0.29864E-01   -0.10673E-01   240   0.322E+00    0.131E-01
RMM:   4    -0.13949E+01    0.13883E-04   -0.31511E-03   242   0.600E-01    0.336E-02
RMM:   5    -0.13949E+01    0.28357E-04   -0.25757E-04   228   0.177E-01    0.126E-02

It is important to note that exact values for the dielectric matrix are obtained even if only valence band states are calculated. Hence this method does not require to increase the NBANDS parameter. The final values for the static dielectric matrix can be found in the OUTCAR file after the lines
MACROSCOPIC STATIC DIELECTRIC TENSOR (excluding local field effects)

and
MACROSCOPIC STATIC DIELECTRIC TENSOR (including local field effects in DFT)

The values found after MACROSCOPIC STATIC DIELECTRIC TENSOR (excluding local field effects) should match exactly to the zero frequency values  determined by the method selected using LOPTICS=.TRUE. (see Sec. 6.65.1). This offers a convenient way to determine how many empty bands are required for LOPTICS=.TRUE.. Simply execute VASP using LEPSILON=.TRUE. in order to determine the exact values for the dielectric constants. Next, switch to LOPTICS=.TRUE. and increase the number of conduction bands until the same values are obtained as using density functional perturbation theory.
Note that the routine also parses and uses the value supplied in the LNABLA tag (see Sec. 6.65.3). Furthermore, the routine calculates the Born effective charge tensor (dynamical charges) and electronic contribution to the the piezoelectric tensor , and prints them after

BORN EFFECTIVE CHARGES (in e, cummulative output)

and
PIEZOELECTRIC TENSOR  for field in x, y, z        (C/m^2)

if LRPA=.FALSE. is set (the calculated tensors are not sensible in the random phase approximation LRPA=.TRUE.).
Pros compared to LOPTICS=.TRUE. (see Sec. 6.65.1):

no conduction bands required.
local field effects included on the RPA and DFT level (see Sec. 6.65.5).
Cons compared to LOPTICS=.TRUE. (see Sec. 6.65.1):
presently only static properties available.
requires a relatively timeconsuming iterative process.
does not support HF or hybride functionals, whereas LOPTICS=.TRUE. and the GW routines do.
It is not sensible to select LOPTICS=.TRUE. and LEPSILON=.TRUE. in a single run (most likely it does work however). Density functional perturbation theory LEPSILON=.TRUE. does not require to increase NBANDS and is, in fact, much slower if NBANDS is increased, whereas the summation over emtpy conduction band states requires a large number of such states.

LEPSILON:Ó¦ÓÃDFPT¼ÆË㾲̬½éµç¾ØÕó£¬Àë×Ó¼Ó³ÖѹµçÕÅÁ¿ºÍ²¨¶÷ÓÐЧµçºÉµÄÉèÖÃ
LEPSILON= .TRUE. | .FALSE.   ¿ÉÑ¡Ï
Default: LEPSILON=.FALSE.   È±Ê¡Ñ¡ÔñΪ²»Ñ¡¸ÃÏî
ÓÃDFPT¾ö¶¨Àë×Ó¼Ó³Ö½éµçÕÅÁ¿¾ØÕó¡£½éµç¾ØÕó¼ÆËãʱ¿¼ÂDz»¿¼ÂǾÖÓò³¡Ó°Ïì¡£¾ÖÓò³¡Í¨³£È¡¾öÓÚHartreeÄܼ¶£¬Ò²¾ÍÊǰüÀ¨HartreeÊÆµÄ±ä»¯¡£ÎªÁ˰üº¬½»»»ÐÞÕýÊÆµÄ΢¹Û±ä»¯£¬±ØÐ뽫±êÇ©LRPA=.FALSE.£¨¸Ã²ÎÊýÉèÖóÉ.FALSE.²Î¿´Sec.6.65.5£©¡£Ref.[84]ÖÐÓи÷½·¨µÄϸ½Ú½âÊÍ£¬Ò²¿É²Î¿¼Baroni and Resta.[85]µÄÔ­´´ÎÄÏס£²»ÔÙÐèÒª¶Ô¿Õµ¼´ø×´Ì¬½øÐмӺͣ¬ÕâÓ뽫²ÎÊýLOPTICSÉèÖóÉ.TRUE.¸ÕºÃÏà·´(see Sec. 6.65.1)¡£Í¨³£µÄ΢ÈÅÀíÂÛÖеıí´ïʽ£º
   XXXX
±»Ìæ´úÖØÐ´ÎªÏßÐÔSternheimer·½³Ì£º
YYYY
¸Ã·½³Ì¿ÉÓÃСµÄ´«Í³µÄ×ÔǢѭ»·Çó½â¡£ÓÚÊÇ£¬¼¸ÐеĽéµç³£Êý¾ØÕóÔª£¬¿ÉÒÔ±»Ð´½østdoutºÍOSZICARÖÐ.ÕâÓ봫ͳµÄ×ÔÇ¢ºÍ·Ç×ÔÇ¢¼ÆËãµÄģʽÏàͬ£¨×îС¶þ³Ë·¨/Ê£Óà×îС²ÎÊý·¨£¬±»ÓÃÀ´Çó½âÕâ¸öÏßÐÔ·½³Ì£¬¶ø²»ÓÃÈçDavidson·½·¨µÈÆäËû·½·¨À´Çó½â£©
  N Ñ­»·´ÎÊý  EÄÜÁ¿      dEÄÜÁ¿±ä»¯   deps½éµç³£Êý±ä»¯ ncg £¿     rms²ÐÁ¿     rms(c) ²ÐÁ¿c£¿
RMM:   1   -0.14800E+01  -0.85101E-01  -0.72835E+00   220  
0.907E+00    0.146E+00
RMM:   2    -0.14248E+01    0.55195E-01   -0.27994E-01   221   0.449E+00    0.719E-01
RMM:   3    -0.13949E+01    0.29864E-01   -0.10673E-01   240   0.322E+00    0.131E-01
RMM:   4    -0.13949E+01    0.13883E-04   -0.31511E-03   242   0.600E-01    0.336E-02
RMM:   5    -0.13949E+01    0.28357E-04   -0.25757E-04   228   0.177E-01    0.126E-02
ÐèҪעÒâµÄÊÇ£¬¼´Ê¹½ö½ö¼ÆËã¼Û´øµÄ״̬Ҳ¿ÉµÃµ½¾«È·µÄ½éµç¾ØÕó£¬ËùÒԸ÷½·¨²»ÐèÒªÔö¼ÓNBANDSµÄÊýÄ¿. Êä³ö¾²Ì¬½Úµãº¯Êý½á¹û´æÓÚOUTCAR ÎļþÖУ¬¼´Î»ÓÚMACROSCOPIC STATIC DIELECTRIC TENSOR ÕâÒ»ÐÐ(DFTÖв»°üÀ¨¾ÖÓò³¡)ºÍMACROSCOPIC STATIC DIELECTRIC TENSOR (°üÀ¨¾ÖÓò³¡Ð§Ó¦)ºóÃæ¡£
MACROSCOPIC STATIC DIELECTRIC TENSOR ÕâÒ»ÐÐ(DFTÖв»°üÀ¨¾ÖÓò³¡)ºóµÄÖµÓ¦¸ÃÓëÑ¡ÔñLOPTICS£¨ÉèÖóÉTRUE.£©ËùµÃµÄ ʱµÄÁãÆµÖµÍêȫƥÅä (see Sec. 6.65.1)¡£ÕâÌṩÁËÒ»¸ö·½±ãµÄ·½·¨È¥¾ö¶¨µ±LOPTICSÉèÖóÉTRUE..ÐèÒª¶àÉÙ¸ö¿Õ´ø¡£ÎªÁ˵õ½È·ÇеĽéµç³£Êý£¬¼òµ¥µÄÉèÖÃLEPSILON=.TRUE.ÔËÐÐVASP¼´¿É¡£½Ó×ÅʹLOPTICSÉèÖÃΪ.TRUE.²¢Ôö¼Óµ¼´øÊýÖ±ÖÁµÃµ½ºÍDFPTÔËËãËùµÃµÄÖµÒ»Ñù¡£
×¢ÒâLNABLA tag (see Sec. 6.65.3)Öв¹³äÓÐÕâ¸ö²Ù×÷¹æ³ÌµÄÓï·¨ºÍËùÓõÄÖµ¡£²¢ÇÒ£¬Õâ¸ö²Ù×÷¹æ³Ì¼ÆËã¿É¼ÆË㲨¶÷µçºÉÕÅÁ¿£¨¶¯Ì¬µçºÉ£©ºÍµç×Ó¹±Ï×¶ÔѹµçÕÅÁ¿µÄ¹±Ï×£¬Èç¹ûLRPAÉèÖÃΪ.FALSE.£¨Ëæ»úÏà¼ÆËãÖÐËùµÃÕÅÁ¿¶ÔÉèÖÃLRPA=.TRUE.²¢²»Ãô¸Ð£©ÔòËùµÃÖµÔÚBORN EFFECTIVE CHARGES (µ¥Î»e,ÀÛ¼ÆÖµÈ«²¿Êä³ö)ºÍ PIEZOELECTRIC TENSOR  for field in x, y, z (C/m^2)À¸Ö®ºóÁгö¡£

Pros ÓëLOPTICSÉèÖÃΪ.TRUE. (see Sec. 6.65.1)ʱµÄ²îÒ죬LOPTICS¼ÆËãÖÐ:
•        ²»ÐèÒªµ¼´ø
•        ¾ÖÓò³¡Ð§Ó¦°üº¬ÔÚRPA/Ëæ»úÏà ºÍ DFTÄÚ(see Sec. 6.65.5).
Cons Óë LOPTICSÉèÖÃΪ.TRUE.ʱµÄ²îÒ죬Cons¼ÆËãÖÐ(see Sec. 6.65.1):
•        Ä¿Ç°½ö¿É¼ÆË㾲̬ÐÔÖÊ.
•        ¼ÆËã¹ý³ÌÏà¶ÔºÜºÄʱ.
•        ²»Ö§³ÖHF »òhybride functionals/ÔÓ»¯·ºº¯, µ«LOPTICSÉèÖÃΪ.TRUE. »òÕß ÓÃGW ·½·¨Ê±Ö§³Ö.
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±¾ÎÄÀ´×Ô: Сľ³æÂÛ̳ http://muchong.com/bbs/viewthread.php?tid=2592318&fpage=1&view=&highlight=&page=2

[ Last edited by wuli8 on 2010-12-6 at 23:34 ]
5Â¥2010-11-13 23:48:21
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wuli8(½ð±Ò+100):лл 2010-12-06 23:15:27
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wuli8(½ð±Ò+5):лл 2010-12-07 23:46:13
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Originally posted by wuli8 at 2010-11-13 23:48:21:
ÐèÒª·­ÒëµÄÔ­ÎÄÈçÏÂ4¡¢LEPSILON: static dielectric matrix, ion-clamped piezoelectric tensor and the Born effective charges using density functional perturbation theory LEPSILON= .T ...

4.LEPSILON:Ó¦ÓÃDFPT¼ÆË㾲̬½éµç¾ØÕó£¬Àë×Ó¼Ó³ÖѹµçÕÅÁ¿ºÍ²¨¶÷ÓÐЧµçºÉµÄÉèÖÃ
LEPSILON= .TRUE. | .FALSE.   ¿ÉÑ¡Ï
Default: LEPSILON=.FALSE.   È±Ê¡Ñ¡ÔñΪ²»Ñ¡¸ÃÏî
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0.907E+00    0.146E+00
RMM:   2    -0.14248E+01    0.55195E-01   -0.27994E-01   221   0.449E+00    0.719E-01
RMM:   3    -0.13949E+01    0.29864E-01   -0.10673E-01   240   0.322E+00    0.131E-01
RMM:   4    -0.13949E+01    0.13883E-04   -0.31511E-03   242   0.600E-01    0.336E-02
RMM:   5    -0.13949E+01    0.28357E-04   -0.25757E-04   228   0.177E-01    0.126E-02
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MACROSCOPIC STATIC DIELECTRIC TENSOR ÕâÒ»ÐÐ(DFTÖв»°üÀ¨¾ÖÓò³¡)ºóµÄÖµÓ¦¸ÃÓëÑ¡ÔñLOPTICS£¨ÉèÖóÉTRUE.£©ËùµÃµÄ ʱµÄÁãÆµÖµÍêȫƥÅä (see Sec. 6.65.1)¡£ÕâÌṩÁËÒ»¸ö·½±ãµÄ·½·¨È¥¾ö¶¨µ±LOPTICSÉèÖóÉTRUE..ÐèÒª¶àÉÙ¸ö¿Õ´ø¡£ÎªÁ˵õ½È·ÇеĽéµç³£Êý£¬¼òµ¥µÄÉèÖÃLEPSILON=.TRUE.ÔËÐÐVASP¼´¿É¡£½Ó×ÅʹLOPTICSÉèÖÃΪ.TRUE.²¢Ôö¼Óµ¼´øÊýÖ±ÖÁµÃµ½ºÍDFPTÔËËãËùµÃµÄÖµÒ»Ñù¡£
×¢ÒâLNABLA tag (see Sec. 6.65.3)Öв¹³äÓÐÕâ¸ö²Ù×÷¹æ³ÌµÄÓï·¨ºÍËùÓõÄÖµ¡£²¢ÇÒ£¬Õâ¸ö²Ù×÷¹æ³Ì¼ÆËã¿É¼ÆË㲨¶÷µçºÉÕÅÁ¿£¨¶¯Ì¬µçºÉ£©ºÍµç×Ó¹±Ï×¶ÔѹµçÕÅÁ¿µÄ¹±Ï×£¬Èç¹ûLRPAÉèÖÃΪ.FALSE.£¨Ëæ»úÏà¼ÆËãÖÐËùµÃÕÅÁ¿¶ÔÉèÖÃLRPA=.TRUE.²¢²»Ãô¸Ð£©ÔòËùµÃÖµÔÚBORN EFFECTIVE CHARGES (µ¥Î»e,ÀÛ¼ÆÖµÈ«²¿Êä³ö)ºÍ PIEZOELECTRIC TENSOR  for field in x, y, z (C/m^2)À¸Ö®ºóÁгö¡£

Pros ÓëLOPTICSÉèÖÃΪ.TRUE. (see Sec. 6.65.1)ʱµÄ²îÒ죬LOPTICS¼ÆËãÖÐ:
•        ²»ÐèÒªµ¼´ø
•        ¾ÖÓò³¡Ð§Ó¦°üº¬ÔÚRPA/Ëæ»úÏà ºÍ DFTÄÚ(see Sec. 6.65.5).
Cons Óë LOPTICSÉèÖÃΪ.TRUE.ʱµÄ²îÒ죬Cons¼ÆËãÖÐ(see Sec. 6.65.1):
•        Ŀǰ½ö¿É¼ÆË㾲̬ÐÔÖÊ.
•        ¼ÆËã¹ý³ÌÏà¶ÔºÜºÄʱ.
•        ²»Ö§³ÖHF »òhybride functionals/ÔÓ»¯·ºº¯, µ«LOPTICSÉèÖÃΪ.TRUE. »òÕß ÓÃGW ·½·¨Ê±Ö§³Ö.
µ¥´ÎÔËÐÐʱ¶ÔÑ¡ÔñLOPTICS=.TRUE. ºÍ LEPSILON=.TRUE.²»Ãô¸Ð£¨È»¶øËüȷʵÆð×÷Óã©¡£DFPT¼ÆËãÖн«LEPSILON=.TRUE.ʱ²»ÔÙÐèÒªÔö¼ÓNBANDS£¬²¢ÇÒÊÂʵÉÏNBANDSÔö¼ÓʱÔËË㽫±äµÄºÜÂý£¬ÒòΪÕâÊÇÐèÒª¶ÔºÜ¶à¿Õµ¼´ø½øÐмӺͼÆËã.
16Â¥2010-12-06 21:39:02
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ÐèÒª·­ÒëµÄÔ­ÎÄÈçÏÂ3LNABLA: transversal gauge
LNABLA= .TRUE. | .FALSE.

Default: LNABLA=.FALSE.

Usually VASP uses the longitudinal expression for the frequency dependent dielectric matrix as described in the preceeding section (see. 6.65.1). It is however possible to switch to the computationally somewhat simpler transversal expressions by selecting LNABLA=.TRUE. (in this case Eq. (17) and (20) in Ref. [84]). In this simplification the imaginary part of the macroscopic dielectric function  is given by


(56)



Except for the purpose of testing, there is however hardly ever a reason to use the transversal expression, since it is less accurate.[84]

[ Last edited by wuli8 on 2010-11-14 at 00:44 ]
4Â¥2010-11-13 23:48:10
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5¡¢LRPA: local field effects on the Hartree level (RPA)
LRPA= .TRUE. |.FALSE.

Default: LRPA= .FALSE.

Usually local field effect are included on the Hartree level only (LRPA=.TRUE.). This means that cell periodic microscopic changes of the local potential related to the change of the Hartree potential are included. If LRPA=.FALSE., however, changes of the Hartree potential and the exchange correlation potential are included. This usually increases the dielectric constants. The final values for the dielectric matrix can be found in the OUTCAR file after the lines.

MACROSCOPIC STATIC DIELECTRIC TENSOR (including local field effects in RPA (Hartree))

For LRPA=.FALSE. the dielectric matrix is written after the lines:
MACROSCOPIC STATIC DIELECTRIC TENSOR (including local field effects in DFT)

The dielectric constants without local field effects is always determined (irregardless of LRPA). The piezoelectric tensors and the Born effective charges as well as the ionic contributions the to dielectric tensor are only calculated for LRPA=.FALSE.

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LRPA= .TRUE. |.FALSE.
Default: LRPA= .FALSE.
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ºê¹Û¾²µç½éµçÕÅÁ¿£¨¿¼ÂÇÎÞ¹éÏà½üËÆÏµľÖÓò³¡Ð§Ó¦£¨Hartree£©£©

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ĬÈÏÇé¿öÏ£¬Ò»°ã»á¸ø³ö²»¿¼ÂǾÖÓò³¡Ð§Ó¦µÄ½éµç³£Êý£¨ÓëLRPAÎ޹أ©¡£Ñ¹µçÕÅÁ¿ºÍ²¨¶ûÓÐЧµçºÉÓëÀë×Ó²¿·Ö¶Ô½éµçÕÅÁ¿µÄ¹±Ï×Ö»ÓÐÔÚLRPA=.FALSEÇé¿öϲű»¼ÆËã½øÈ¥¡£

[ Last edited by wuli8 on 2010-11-18 at 12:42 ]
6Â¥2010-11-13 23:48:38
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ÐèÒª·­ÒëµÄÔ­ÎÄÈçÏ£º6¡¢Vibrational frequencies, relaxed-ion static dielectric tensor and relaxed-ion piezoelectric tensor
Setting IBRION=8 or IBRION=7 selects the calculation of the interatomic force constants using density functional perturbation theory. For IBRION=8, symmetry is taken into account, whereas IBRION=7 neglects symmetry considerations and is thus usually significantly more expensive. If IBRION=7 (or IBRION=8) and LEPSILON=.TRUE. is selected, the relaxed-ion static dielectric tensor, or low frequency dielectric tensor, and the relaxed-ion piezoelectric tensors are determined [86]. All values are collected and printed at the end of the OUTCAR file (see also Sec. 6.21.7). Specifically the ionic contribution to the piezoelectric tensor is printed after

PIEZOELECTRIC TENSOR IONIC CONTR  for field in x, y, z        (C/m^2)

and the ionic contributions to the dielectric tensor are printed after:
MACROSCOPIC STATIC DIELECTRIC TENSOR IONIC CONTRIBUTION

Note that LRPA=.FALSE. must be selected to obtain these values.

[ Last edited by wuli8 on 2010-11-14 at 00:43 ]
7Â¥2010-11-13 23:48:45
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wuli8(½ð±Ò+20):лл 2010-12-06 23:15:01
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wuli8(½ð±Ò+5):лл 2010-12-07 23:46:05
[quote]Originally posted by wuli8 at 2010-11-13 23:47:30:
ÐèÒª·­ÒëµÄÔ­ÎÄÈçÏÂ2¡¢CSHIFT: complex shift in Kramers-Kronig transformation

CSHIFT: ¿ËÀ­Ä©-¿ËÀÊÄá¸ñ±ä»»Öеĸ´ÔÓ£¨Êý£¿£©Òƶ¯
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wuli8(½ð±Ò+30):Ê®·Ö¸Ðл 2010-12-07 23:44:23
wuli8(½ð±Ò+5):лл 2010-12-07 23:46:22
[quote]Originally posted by wuli8 at 2010-11-13 23:48:10:
ÐèÒª·­ÒëµÄÔ­ÎÄÈçÏÂ3LNABLA: transversal gauge

3 LNABLA:ºáÏòÖ¸Õë
LNABLA= .TRUE. | .FALSE. ¿ÉÑ¡Ïî
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wuli8(½ð±Ò+30):Ê®·Ö¸Ðл 2010-12-07 23:44:40
wuli8(½ð±Ò+5):лл 2010-12-07 23:46:30
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Originally posted by wuli8 at 2010-11-13 23:48:45:
ÐèÒª·­ÒëµÄÔ­ÎÄÈçÏ£º6¡¢Vibrational frequencies, relaxed-ion static dielectric tensor and relaxed-ion piezoelectric tensor
Setting IBRION=8 or IBRION=7 selects the calculation o ...

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ApolloYang

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Pros ÓëLOPTICSÉèÖÃΪ.TRUE. (see Sec. 6.65.1)ʱµÄ²îÒ죬LOPTICS¼ÆËãÖÐ:
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24Â¥2012-04-13 10:43:20
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robinson8607

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2393860Â¥: Originally posted by ApolloYang at 2012-04-13 10:43:20
Pros ÓëLOPTICSÉèÖÃΪ.TRUE. (see Sec. 6.65.1)ʱµÄ²îÒ죬LOPTICS¼ÆËãÖÐ:
•        ²»ÐèÒªµ¼´ø
•        ¾ÖÓò³¡Ð§Ó¦°üº¬ÔÚRPA/Ëæ»úÏà ºÍ DFTÄÚ(see Sec. 6.65.5).
Cons Óë LOPTICSÉèÖÃΪ.TRUE.ʱ ...

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25Â¥2012-07-19 11:57:14
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singleman

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27Â¥2012-12-06 15:06:52
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future_wl

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2403549Â¥: Originally posted by robinson8607 at 2012-07-19 11:57:14
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28Â¥2012-12-06 15:58:23
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future_wl

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2386210Â¥: Originally posted by chuanghua304 at 2012-02-13 13:37:21
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29Â¥2012-12-06 15:59:06
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wiseguy2008

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31Â¥2013-09-10 18:50:08
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wiseguy2008

гæ (³õÈëÎÄ̳)


ÒýÓûØÌû:
24Â¥: Originally posted by ApolloYang at 2012-04-13 10:43:20
Pros ÓëLOPTICSÉèÖÃΪ.TRUE. (see Sec. 6.65.1)ʱµÄ²îÒ죬LOPTICS¼ÆËãÖÐ:
•        ²»ÐèÒªµ¼´ø
•        ¾ÖÓò³¡Ð§Ó¦°üº¬ÔÚRPA/Ëæ»úÏà ºÍ DFTÄÚ(see Sec. 6.65.5).
Cons Óë LOPTICSÉèÖÃΪ.TRUE.ʱ ...

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34Â¥2013-11-19 20:29:32
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ÔÂdzdz

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13Â¥: Originally posted by franch at 2010-11-18 23:04:52
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35Â¥2014-06-01 16:13:45
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ÔÂdzdz

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13Â¥: Originally posted by franch at 2010-11-18 23:04:52
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36Â¥2014-06-01 16:23:19
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jkÉäÊÖ×ù

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qingeraaa

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39Â¥2014-09-14 16:53:40
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llxbxbll

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44Â¥2015-03-05 10:20:34
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zhaohanxu

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lixxyyzzz

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obaica

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47Â¥2015-12-18 21:04:18
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tsglss

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49Â¥2016-01-20 12:18:42
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