# Adjacent Pairs Exchange correction to the Random Phase Approximation

@article{Hummel2015AdjacentPE, title={Adjacent Pairs Exchange correction to the Random Phase Approximation}, author={Felix Hummel}, journal={arXiv: Materials Science}, year={2015} }

The Random Phase Approximation (RPA) is a widely employed post Hartree-Fock or DFT method, capable of capturing van der Waal interactions and other dynamic correlation effects at relatively low costs of $\mathcal O(N^3)$ in time and $\mathcal O(N^2)$ in memory, if calculated from imaginary time propagators. However, since it neglects anti-symmetrization RPA is biased, overestimating the correlation energy and bond lengths in general. The Second Order Screened Exchange offers amelioration by… Expand

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#### References

SHOWING 1-10 OF 13 REFERENCES

Renormalized Second-order Perturbation Theory for The Electron Correlation Energy: Concept, Implementation, and Benchmarks

- Physics
- 2012

We present a renormalized second-order perturbation theory (rPT2), based on a Kohn-Sham (KS) reference state, for the electron correlation energy that includes the random-phase approximation (RPA),… Expand

Self-interaction correction to density-functional approximations for many-electron systems

- Physics
- 1981

exchange and correlation, are not. We present two related methods for the self-interaction correction (SIC) of any density functional for the energy; correction of the self-consistent one-electron… Expand

Making the random phase approximation to electronic correlation accurate.

- Chemistry, Medicine
- The Journal of chemical physics
- 2009

We show that the inclusion of second-order screened exchange to the random phase approximation allows for an accurate description of electronic correlation in atoms and solids clearly surpassing the… Expand

Total energy from the Galitskii-Migdal formula using realistic spectral functions

- Physics
- 2000

Although many-body perturbation theory (MBPT) for quite some time has been used to determine quasiparticle energies and optical properties of solids, traditionally the issue of ground-state energy… Expand

How many‐body perturbation theory (MBPT) has changed quantum chemistry

- Physics
- 2009

The history of many-body perturbation theory (MBPT) and its impact on Quantum Chemistry is reviewed, starting with Brueckner's conjecture of a linked-cluster expansion and the time-dependent… Expand

Accurate spin-dependent electron liquid correlation energies for local spin density calculations: a critical analysis

- Physics
- 1980

We assess various approximate forms for the correlation energy per particle of the spin-polarized homogeneous electron gas that have frequently been used in applications of the local spin density… Expand

The high‐density electron gas: How momentum distribution n (k) and static structure factor S(q) are mutually related through the off‐shell self‐energy Σ (k, ω)

- Physics
- 2010

For the spin-unpolarized uniform electron gas, rigorous theorems are used (Migdal, Galitskii-Migdal, Hellmann-Feynman) which allow the calculation of the pair density, g(r), or equivalently its… Expand

Is coupled cluster singles and doubles (CCSD) more computationally intensive than quadratic configuration interaction (QCISD)

- Chemistry
- 1989

It is shown that the recently proposed QCI method including all single and double substitutions has essentially the same computational requirements as the more complete CCSD approach. If properly… Expand

An Introduction to Quantum Theory

- Mathematics
- 2001

Preface Part I. Introductory: 1. The need for a non-classical description of microscopic phenomena 2. Classical concepts and quantal inequivalencies 3. Introducing quantum mechanics: a comparison of… Expand

Many-Body Methods in Chemistry and Physics: MBPT and Coupled-Cluster Theory

- Physics
- 2009

1. Introduction 2. Formal perturbation theory 3. Second quantization 4. Diagrammatic notation 5. Diagrammatic expansions for perturbation theory 6. Proof of the linked-diagram theorem 7.… Expand