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We present an analytical proof and numerical demonstrations of the equivalence of the correlation energy from particle-particle random phase approximation (pp-RPA) and ladder-couple-cluster-doubles (ladder-CCD). These two theories reduce to…

化学物理 · 物理学 2013-11-01 Degao Peng , Stephan N. Steinmann , Helen van Aggelen , Weitao Yang

It is well known that the ground-state correlation energy from the particle-hole channel of the random phase approximation (RPA) is formally equivalent to that from a simplified coupled cluster doubles (CCD) model that includes only ring…

化学物理 · 物理学 2026-04-10 A. Eugene DePrince , Stephen H. Yuwono , Henk Eshuis

Coupled cluster theory provides hierarchical many-particle models and is presently considered as the ultimate benchmark in quantum chemistry. Despite is practical significance, a rigorous mathematical analysis of its properties is still in…

数学物理 · 物理学 2018-01-24 Heinz-Jürgen Flad , Gohar Flad-Harutyunyan

We present an analytic proof demonstrating the equivalence between the Random Phase Approximation (RPA) to the ground state correlation energy and a ring-diagram simplification of the Coupled Cluster Doubles (CCD) equations. In the CCD…

其他凝聚态物理 · 物理学 2009-11-13 Gustavo E. Scuseria , Thomas M. Henderson , Danny C. Sorensen

Practical applications of fragment embedding and closely related local correlation methods critically depend on a judicious choice of a low-level theory to define the local embedding subspace and to capture long-range electrostatic and…

化学物理 · 物理学 2026-05-14 Ruiheng Song , Xiliang Gong , Aamy Bakry , Hong-Zhou Ye

We explore different variants of the random phase approximation (RPA) to the correlation energy derived from closed-shell ring-diagram approximations to coupled cluster doubles theory. We implement these variants in range-separated…

化学物理 · 物理学 2011-09-01 Julien Toulouse , Wuming Zhu , Andreas Savin , Georg Jansen , János G. Angyán

The relativistic quasiparticle random phase approximation (RQRPA) is formulated in the canonical single-nucleon basis of the relativistic Hartree-Bogoliubov (RHB) model. For the interaction in the particle-hole channel effective Lagrangians…

核理论 · 物理学 2009-02-18 N. Paar , T. Niksic , D. Vretenar , P. Ring

We recently demonstrated a connection between the random phase approximation (RPA) and coupled cluster theory [J. Chem. Phys. 129, 231101 (2008)]. Based on this result, we here propose and test a simple scheme for introducing long-range RPA…

材料科学 · 物理学 2009-11-13 Benjamin G. Janesko , Thomas M. Henderson , Gustavo E. Scuseria

The random phase approximation (RPA) has received a considerable interest in the field of modeling systems where noncovalent interactions are important. Its advantages over widely used density functional theory (DFT) approximations are the…

化学物理 · 物理学 2019-12-04 Marcin Modrzejewski , Sirous Yourdkhani , Jiri Klimes

We present an extension of the pair coupled cluster doubles (p-CCD) method to quasiparticles and apply it to the attractive pairing Hamiltonian. Near the transition point where number symmetry gets spontaneously broken, the proposed…

The direct ring coupled-cluster doubles (drCCD)-based random phase approximation (RPA) has provided an attractive framework for the development and application of RPA-related methods. However, a potential unphysical solution issue recently…

化学物理 · 物理学 2025-08-18 Ruiheng Song , Xiliang Gong , Hong-Zhou Ye

We present a comparative study of particle-hole and particle-particle channels of random-phase approximation (RPA) for molecular dissociations of different bonding types. We introduced a \textit{direct} particle-particle RPA scheme, in…

材料科学 · 物理学 2019-06-05 Muhammad N. Tahir , Xinguo Ren

We propose a novel approach to electron correlation for multireference systems. It is based on particle-hole (ph) and particle-particle (pp) theories in the second-order, developed in the random phase approximation (RPA) framework for…

化学物理 · 物理学 2024-12-03 Aleksandra Tucholska , Yang Guo , Katarzyna Pernal

In this tutorial-style review we discuss basic concepts of coupled cluster theory and recent developments that increase its computational efficiency for calculations of molecules, solids and materials in general. We will touch upon the…

材料科学 · 物理学 2020-04-15 Igor Ying Zhang , Andreas Grüneis

We have calculated the strength distributions of the dipole response in spherical nuclei, ranging all over the periodic table. The calculations were performed within two microscopic models: the discretized quasiparticle random phase…

核理论 · 物理学 2011-05-05 I. Daoutidis , P. Ring

The ground-state correlation energy calculated in the random-phase approximation (RPA) is known to be identical to that calculated using a subset of terms appearing in coupled-cluster theory with double excitations. In particular, this…

化学物理 · 物理学 2019-04-16 Timothy C. Berkelbach

The coherent potential approximation (CPA) is extended to describe satisfactorily the motion of particles in a random potential which is spatially correlated and smoothly varying. In contrast to existing cluster-CPA methods, the present…

无序系统与神经网络 · 物理学 2009-10-20 Roland Zimmermann , Christoph Schindler

The self-consistent Relativistic Quasiparticle Random Phase Approximation (RQRPA) is extended by the quasiparticle-phonon coupling (QPC) model using the Quasiparticle Time Blocking Approximation (QTBA). The method is formulated in terms of…

核理论 · 物理学 2008-11-26 E. Litvinova , P. Ring , V. Tselyaev

We revisit the connection between equation-of-motion coupled cluster (EOM-CC) and random phase approximation (RPA) explored recently by Berkelbach [J. Chem. Phys. 149, 041103 (2018)] and unify various methodological aspects of these diverse…

化学物理 · 物理学 2020-12-17 Varun Rishi , Ajith Perera , Rodney J. Bartlett

We present an embedding approach to treat local electron correlation effects in periodic environments. In a single, consistent framework, our plane-wave based scheme embeds a local high-level correlation calculation (here Coupled Cluster…

化学物理 · 物理学 2021-01-07 Tobias Schäfer , Florian Libisch , Georg Kresse , Andreas Grüneis
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