LIBXC1: Difference between revisions

Revision as of 20:48, 7 January 2022

LIBXC1 = [integer] or [string]

Description: LIBXC1 and LIBXC2 specify the functionals from the library of exchange-correlation functionals Libxc^[1]^[2] that one wants to use.

LIBXC1 and LIBXC2 can be either integers or strings. The available functionals are listed on the Libxc website^[3] along with their associated tag and number (e.g., GGA_X_PBE and 101 for PBE exchange). The tag indicates if this is an exchange (X), correlation (C) or exchange-correlation (XC) functional, and to which family it belongs to, namely LDA (LDA or HYB_LDA), GGA (GGA or HYB_GGA) or meta-GGA (MGGA or HYB_MGGA).

The possibilities for LIBXC1 and LIBXC2 are the following:

Both LIBXC1 and LIBXC2 are specified and correspond to the exchange and correlation functionals, respectively, or vice versa.
Only LIBXC1 (or LIBXC2) is specified and corresponds to an exchange or exchange-correlation functional. It can also be a correlation functional, but such a calculation without exchange would not make sense.

One has to specify also GGA = LIBXC for LDA, GGA and GGA-based hybrid functionals or METAGGA = LIBXC for meta-GGA functionals (calculations with meta-GGA-based hybrid functionals are not yet possible with VASP).

In addition, many of the functionals implemented in Libxc have parameters that can be modified. This can be done with the tags LIBXC1_Pn and LIBXC2_Pn, where $n=1, 2, ...$ in INCAR.

Examples of how to specify a Libxc functional in INCAR are given below for the GGA PBE^[4], meta-GGA SCAN^[5] and hybrid PBEh (PBE0)^[6] functionals.

PBE

GGA = LIBXC
LIBXC1 = 101
LIBXC2 = 130

or

GGA = LIBXC
LIBXC1 = GGA_X_PBE
LIBXC2 = GGA_C_PBE

SCAN

METAGGA = LIBXC
LIBXC1 = 263
LIBXC2 = 267

or

METAGGA = LIBXC
LIBXC1 = MGGA_X_SCAN
LIBXC2 = MGGA_C_SCAN

PBEh (PBE0)

LHFCALC = .TRUE.
AEXX = 0.25
GGA = LIBXC
LIBXC1 = 406

or

LHFCALC = .TRUE.
AEXX = 0.25
GGA = LIBXC
LIBXC1 = HYB_GGA_XC_PBEH

For calculations with hybrid functionals, the following comments should be noted.

The Libxc functionals whose tag starts with HYB_LDA_XC, HYB_GGA_XC or HYB_MGGA_XC^[3] consist directly of the whole semilocal component of a hybrid functional, and only LIBXC1 (or LIBXC2) can be used (see the example above for PBEh). Importantly, for these functionals AGGAX, AGGAC and ALDAC are ignored (more informations on how to modify the mixing and screening parameters can be found here LIBXC1_Pn).
If the semilocal component of the hybrid functional is constructed using Libxc functionals that do not contain HYB in the tag, then AGGAX, AGGAC and ALDAC will be used.

$E_{\mathrm{disp}} = -\frac{1}{2} \sum_{i=1}^{N_{at}} \sum_{j=1}^{N_{at}} \sum_{\mathbf{L}} {}^{\prime} \frac{C_{6ij}}{r_{ij,L}^{6}} f_{d,6}({r}_{ij,L})$

Related Tags and Sections

LIBXC1_Pn, GGA, METAGGA, AEXX, AGGAX, AGGAC, ALDAC, hybrid functionals, settings for specific hybrid functionals

Examples that use this tag

[marques:cpc:2012-1] M. A. L. Marques, M. J. T. Oliveira, and T. Burnus, Comput. Phys. Commun., 183, 2272 (2012).

[lehtola:sx:2018-2] S. Lehtola, C. Steigemann, M. J. T. Oliveira, and M. A. L. Marques, SoftwareX, 7, 1 (2018).

[libxc-3] ttps://libxc.gitlab.io

[perdew:prl:1996-4] J. P. Perdew, K. Burke, and M. Ernzerhof, Phys. Rev. Lett., 77, 3865 (1996).

[sun:prl:15-5] J. Sun, A. Ruzsinszky, and J. P. Perdew, Phys. Rev. Lett. 115, 036402 (2015).

[adamo:jcp:1999-6] C. Adamo and V. Barone, Phys. Rev. Lett., 110, 6158 (1999).

[1]

[2]

[3]

[4]

[5]

[6]

@@ Line 49: / Line 49: @@
 *The Libxc functionals whose tag starts with HYB_LDA_XC, HYB_GGA_XC or HYB_MGGA_XC{{cite|libxc}} consist directly of the whole semilocal component of a hybrid functional, and only {{TAG|LIBXC1}} (or {{TAG|LIBXC2}}) can be used (see the example above for PBEh). Importantly, for these functionals {{TAG|AGGAX}}, {{TAG|AGGAC}} and {{TAG|ALDAC}} are ignored (more informations on how to modify the mixing and screening parameters can be found here {{TAG|LIBXC1_Pn}}).
 *If the semilocal component of the hybrid functional is constructed using Libxc functionals that do not contain HYB in the tag, then {{TAG|AGGAX}}, {{TAG|AGGAC}} and {{TAG|ALDAC}} will be used.
+<math>E_{\mathrm{disp}} = -\frac{1}{2}  \sum_{i=1}^{N_{at}} \sum_{j=1}^{N_{at}}  \sum_{\mathbf{L}} {}^{\prime}  \frac{C_{6ij}}{r_{ij,L}^{6}}  f_{d,6}({r}_{ij,L}) </math>
-If {{TAG|LIBXC1}} and {{TAG|LIBXC2}} are the exchange and correlation components of an hybrid functional The parameters {{TAG|AGGAX}}, {{TAG|AGGAC}} and {{TAG|ALDAC}}
 == Related Tags and Sections ==