Section LOW_SCALING

• Cubic scaling RI-RPA, GW and Laplace-SOS-MP2 method using the imaginary time formalism. EPS_GRID in WFC_GPW section controls accuracy / req. memory for 3-center integrals. SORT_BASIS EXP should be specified in DFT section.  [Edit on GitHub]

• Section path: CP2K_INPUT / FORCE_EVAL / PROPERTIES / TDDFPT / XC / WF_CORRELATION / LOW_SCALING

• This section cannot be repeated.

• Subsections

  • CPHF

• Keywords

  • SECTION_PARAMETERS
  • DO_KPOINTS
  • EPS_FILTER
  • EPS_FILTER_FACTOR
  • EPS_STORAGE_SCALING
  • EXPONENT_TAILORED_WEIGHTS
  • GREENS_FUNCTION
  • KEEP_QUADRATURE
  • KPOINTS
  • KPOINT_WEIGHTS_W
  • K_MESH_G_FACTOR
  • MAKE_CHI_POS_DEFINITE
  • MEMORY_CUT
  • MEMORY_INFO
  • MIN_BLOCK_SIZE
  • MIN_BLOCK_SIZE_MO
  • REGULARIZATION_RI
  • REL_CUTOFFS_CHI_W
  • TRUNC_COLOUMB_RI_X

• Keyword descriptions

  SECTION_PARAMETERS
  	&LOW_SCALING {Logical}
  	Activates cubic-scaling RPA, GW and Laplace-SOS-MP2 calculations.  [Edit on GitHub]
  	This keyword cannot be repeated and it expects precisely one logical.
  	The lone keyword behaves as a switch to .TRUE.
  	Default value: .FALSE.

  DO_KPOINTS
  	DO_KPOINTS {Logical}
  	Besides in DFT, this keyword has to be switched on if one wants to do kpoints in. cubic RPA.  [Edit on GitHub]
  	This keyword cannot be repeated and it expects precisely one logical.
  	The lone keyword behaves as a switch to .TRUE.
  	Default value: .FALSE.

  EPS_FILTER
  	EPS_FILTER {Real}
  	Determines a threshold for the DBCSR based multiply.Normally, this EPS_FILTER determines accuracy and timing of low-scaling RPA and GW calculations.  [Edit on GitHub]
  	This keyword cannot be repeated and it expects precisely one real.
  	Default value: 1.00000000E-009

  EPS_FILTER_FACTOR
  	EPS_FILTER_FACTOR {Real}
  	Multiply EPS_FILTER with this factor to determine filter epsilon for DBCSR based multiply P(it)=(Mocc(it))^T*Mvirt(it) Default should be kept.  [Edit on GitHub]
  	This keyword cannot be repeated and it expects precisely one real.
  	Default value: 1.00000000E+001

  EPS_STORAGE_SCALING
  	EPS_STORAGE_SCALING {Real}
  	Scaling factor to scale EPS_FILTER. Storage threshold for compression will be EPS_FILTER*EPS_STORAGE_SCALING.  [Edit on GitHub]
  	This keyword cannot be repeated and it expects precisely one real.
  	Default value: 1.00000000E-003
  	Alias names for this keyword: EPS_STORAGE

  EXPONENT_TAILORED_WEIGHTS
  	EXPONENT_TAILORED_WEIGHTS {Real}
  	Gives the exponent of exactly integrated function in case 'KPOINT_WEIGHTS_W TAILORED' is chosen.  [Edit on GitHub]
  	This keyword cannot be repeated and it expects precisely one real.
  	Default value: -2.00000000E+000

  GREENS_FUNCTION
  	GREENS_FUNCTION {Keyword}
  	Decides which scheme is used for the periodic Green's function (only relevant for periodic GW calculations).Both schemes are exact in the limit of large unit cells.  [Edit on GitHub]
  	This keyword cannot be repeated and it expects precisely one keyword.
  	Default value: GAMMA
  	List of valid keywords: GAMMA Use the Green's functions at the Gamma point. MIC Use the minimum-image convention for the Green's function.

  KEEP_QUADRATURE
  	KEEP_QUADRATURE {Logical}
  	Keep the Laplace quadrature defined at the first energy evaluations throughout the run. Allows to have consistent force evaluations.  [Edit on GitHub]
  	This keyword cannot be repeated and it expects precisely one logical.
  	The lone keyword behaves as a switch to .TRUE.
  	Default value: .TRUE.
  	Alias names for this keyword: KEEP_WEIGHTS, KEEP_QUAD, KEEP_WEIGHT

  KPOINTS
  	KPOINTS {Integer} {Integer} {Integer}
  	Keyword activates periodic, low-scaling GW calculations (&LOW_SCALING section also needed). For periodic calculations, kpoints are used for the density response, the Coulomb interaction and the screened Coulomb interaction. For 2d periodic systems, e.g. xz periodicity, please also specify KPOINTS, e.g. N_x 1 N_z.  [Edit on GitHub]
  	This keyword cannot be repeated and it expects precisely 3 integers.
  	Default values: 0 0 0

  KPOINT_WEIGHTS_W
  	KPOINT_WEIGHTS_W {Keyword}
  	For kpoints in low-scaling GW, a Monkhorst-Pack mesh is used. The screened Coulomb interaction W(k) needs special care near the Gamma point (e.g. in 3d, W(k) diverges at the Gamma point with W(k) ~ k^alpha). KPOINT_WEIGHTS_W decides how the weights of the Monkhorst-Pack mesh are chosen to compute W(R) = int_BZ W(k) exp(ikR) dk (BZ=Brllouin zone).  [Edit on GitHub]
  	This keyword cannot be repeated and it expects precisely one keyword.
  	Default value: AUTO
  	List of valid keywords: AUTO As 'TAILORED', but alpha is chosen automatically according to dimensionality (3D: alpha = -2 for 3D, 2D: alpha = -1 for exchange self-energy, uniform weights for correlation self-energy). TAILORED Choose k-point integration weights such that the function f(k)=k^alpha is exactly integrated. alpha is specified using EXPONENT_TAILORED_WEIGHTS. UNIFORM Choose the same weight for every k-point (original Monkhorst-Pack method).

  K_MESH_G_FACTOR
  	K_MESH_G_FACTOR {Integer}
  	The k-mesh for the Green's function can be chosen to be larger than the k-mesh for W (without much higher computational cost). The factor given here multiplies the mesh for W to obtainthe k-mesh for G. Example: factor 4, k-mesh for W: 4x4x1 -> k-mesh for G: 16x16x1 (z-dir. is non-periodic).  [Edit on GitHub]
  	This keyword cannot be repeated and it expects precisely one integer.
  	Default value: 1

  MAKE_CHI_POS_DEFINITE
  	MAKE_CHI_POS_DEFINITE {Logical}
  	If true, makes eigenvalue decomposition of chi(iw,k) and removes negative eigenvalues. May increase computational cost significantly. Only recommended to try in case Cholesky decomposition of epsilon(iw,k) fails.  [Edit on GitHub]
  	This keyword cannot be repeated and it expects precisely one logical.
  	The lone keyword behaves as a switch to .TRUE.
  	Default value: .TRUE.

  MEMORY_CUT
  	MEMORY_CUT {Integer}
  	Reduces memory for sparse tensor contractions by this factor. A high value leads to some loss of performance. This memory reduction factor applies to storage of the tensors 'M occ' / 'M virt' but does not reduce storage of '3c ints'.  [Edit on GitHub]
  	This keyword cannot be repeated and it expects precisely one integer.
  	Default value: 5

  MEMORY_INFO
  	MEMORY_INFO {Logical}
  	Decide whether to print memory info on the sparse matrices.  [Edit on GitHub]
  	This keyword cannot be repeated and it expects precisely one logical.
  	The lone keyword behaves as a switch to .TRUE.
  	Default value: .FALSE.

  MIN_BLOCK_SIZE
  	MIN_BLOCK_SIZE {Integer}
  	Minimum tensor block size. Adjusting this value may have minor effect on performance but default should be good enough.  [Edit on GitHub]
  	This keyword cannot be repeated and it expects precisely one integer.
  	Default value: 5

  MIN_BLOCK_SIZE_MO
  	MIN_BLOCK_SIZE_MO {Integer}
  	Tensor block size for MOs. Only relevant for GW calculations. The memory consumption of GW scales as O(MIN_BLOCK_SIZE_MO). It is recommended to set this parameter to a smaller number if GW runs out of memory. Otherwise the default should not be changed.  [Edit on GitHub]
  	This keyword cannot be repeated and it expects precisely one integer.
  	Default value: 64

  REGULARIZATION_RI
  	REGULARIZATION_RI {Real}
  	Parameter to reduce the expansion coefficients in RI for periodic GW. Larger parameter means smaller expansion coefficients that leads to a more stable calculation at the price of a slightly worse RI approximation. In case the parameter 0.0 is chosen, ordinary RI is used.  [Edit on GitHub]
  	This keyword cannot be repeated and it expects precisely one real.
  	Default value: 1.00000000E-002

  REL_CUTOFFS_CHI_W
  	REL_CUTOFFS_CHI_W {Real} {Real}
  	For periodic calculations, the irreducible density reponse chi^0(r,r') and the screened Coulomb interaction W(r,r') is truncated in real space. No truncation of chi^0(r,r') and W(r,r') for |r-r'| < cutoff_1*(smallest lattice vector length), chi^0(r,r') is set to zero for |r-r'| > cutoff_2*(smallest lattice vector length). Smooth transition in between. For cutoff_1 = 0.5, and cutoff_2 = 0.5, we have the minimum image convention (that is also default).  [Edit on GitHub]
  	This keyword cannot be repeated and it expects precisely 2 reals.
  	Default values: 5.00000000E-001 5.00000000E-001

  TRUNC_COLOUMB_RI_X
  	TRUNC_COLOUMB_RI_X {Logical}
  	If true, use the truncated Coulomb operator for the exchange-self-energy in periodic GW.  [Edit on GitHub]
  	This keyword cannot be repeated and it expects precisely one logical.
  	The lone keyword behaves as a switch to .TRUE.
  	Default value: .FALSE.