Category:Constrained-random-phase approximation: Difference between revisions

Latest revision as of 09:05, 21 February 2024

The constrained random-phase approximation (CRPA) is a method that allows the calculation of the effective interaction parameter $U$ , $J$ , and $J'$ for model Hamiltonians. The main idea is to neglect the screening effects of specific target states in the screened Coulomb interaction $W$ of the GW method. The resulting partially screened Coulomb interaction is evaluated in a localized basis that spans the target space and is described by the model Hamiltonian. The target space is usually low-dimensional and therefore allows for the application of a higher-level theory, such as dynamical-mean-field theory (DMFT).

More information about CRPA is found on the following page:

Constrained–random-phase–approximation_formalism

Pages in category "Constrained-random-phase approximation"

The following 7 pages are in this category, out of 7 total.

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-All tags and articles that deal with CRPA calculations are members of this category.
+The '''constrained random-phase approximation''' (CRPA) is a method that allows the calculation of the effective interaction parameter <math>U</math>, <math>J</math>, and <math>J'</math> for model Hamiltonians.
+The main idea is to neglect the screening effects of specific target states in the screened Coulomb interaction <math>W</math> of the [[The GW approximation of Hedin's equations|GW method]].
+The resulting partially screened Coulomb interaction is evaluated in a [[Wannier functions|localized basis]] that spans the target space and is described by the model Hamiltonian.
+The target space is usually low-dimensional and therefore allows for the application of a higher-level theory, such as dynamical-mean-field theory (DMFT).
-== Theoretical Background ==
+More information about CRPA is found on the following page:
-The constrained random-phase approximation (CRPA) is a method that allows to calculate the effective interaction parameter U, J and J' for model Hamiltonians.
-The main idea is to neglect screening effects of specific '''target states''' in the screened Coulomb interaction W of the [[The GW approximation of Hedin's equations|GW method]].
-The resulting partially screened Coulomb interaction is usually evaluated in a localized basis that spans the target space and is described by the model Hamiltonian.
-The target space is usually low-dimensional and therefore allows for the application of a higher level theory, such as dynamical mean field theory.
-More information about CRPA is found on following page:
+[[Constrained–random-phase–approximation_formalism]]
-[[Constrained random-phase approximation]]
+[[Category:VASP|ACFDT]][[Category:Many-body perturbation theory]]
-== How to ==
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-[[Category:VASP|ACFDT]][[Category:Many-Body Perturbation Theory|Many-Body Perturbation Theory]][[Category:VASP6]]