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Recent developments of high-order CCM have been to extend existing formalism and codes to $s \ge \frac 12$ for both the ground and excited states, and independently to "generalised" expectation values for a wide range of one- and two-body…

强关联电子 · 物理学 2010-02-24 D. J. J. Farnell

By using the coupled cluster method (CCM) and the numerical exact diagonalization (ED) method, we investigated the properties of the one quasi-one-dimensional coupled spin triangles. The results of ED disclose that the system is in the…

强关联电子 · 物理学 2015-03-25 Jian-Jun Jiang , Yong-Jun Liu , Fei Tang , Cui-Hong Yang

We present a novel approach to spin-adapted coupled cluster theory. This approach is based on the entanglement of an open-shell molecule with electrons in a non-interacting bath; together they form a closed-shell state. For the total…

化学物理 · 物理学 2023-05-22 Sarai Dery Folkestad , Bendik Støa Sannes , Henrik Koch

Computationally efficient and accurate quantum mechanical approximations to solve the many-electron Schr\"odinger equation are at the heart of computational materials science. In that respect the coupled cluster hierarchy of methods plays a…

We present a generalized extension of the recently developed electron/hole-transfer Dynamically-weighted State-Averaged Constrained CASSCF (eDSC/hDSC) method to model charge transfer in the presence of spin-orbit coupling (SOC) for systems…

化学物理 · 物理学 2026-02-13 Alok Kumar , Zhen Tao , Joseph E. Subotnik , Tian Qiu

We introduce single and double particle-hole excitations in the recently revived spin-projected Hartree-Fock. Our motivation is to treat static correlation with spin-projection and recover the residual correlation, mostly dynamic in nature,…

化学物理 · 物理学 2016-01-20 Takashi Tsuchimochi , Seiichiro Ten-no

A general-order open-shell coupled-cluster method based on spatial orbitals is formulated. The method is an extension of the partial-spin adaptation (PSA) scheme from Janssen and Schaefer (Theor. Chim. Acta, 79, 1-42, 1991). By increasing…

化学物理 · 物理学 2024-03-18 Cong Wang

The coupled cluster method (CCM) has previously been applied to study the ground- and excited-state properties of many different types of frustrated and unfrustrated quantum spin systems. A common feature in the application of the CCM is to…

强关联电子 · 物理学 2014-02-20 Damian J. J. Farnell , Andrew I. Croudace

The tailored coupled cluster (TCC) approach is a promising ansatz that preserves the simplicity of single-reference coupled cluster theory, while incorporating a multi-reference wave function through amplitudes obtained from a preceding…

化学物理 · 物理学 2021-01-07 Maximilian Mörchen , Leon Freitag , Markus Reiher

Properly spin-adapted coupled-cluster theory for general open-shell configurations remains an active area of research in electronic structure theory. In this contribution we examine Lindgren's normal-ordered exponential ansatz to correlate…

化学物理 · 物理学 2024-10-02 Alexander Gunasekera , Nicholas Lee , David P. Tew

We develop and numerically analyze an algebraic-geometric framework for spin-adapted coupled-cluster (CC) theory. Since the electronic Hamiltonian is SU(2)-invariant, physically relevant quantum states lie in the spin singlet sector. We…

化学物理 · 物理学 2026-02-06 Fabian M. Faulstich , Svala Sverrisdóttir

We construct several new families of exactly and quasi-exactly solvable BC_N-type Calogero-Sutherland models with internal degrees of freedom. Our approach is based on the introduction of two new families of Dunkl operators of B_N type…

高能物理 - 理论 · 物理学 2009-11-07 F. Finkel , D. Gomez-Ullate , A. Gonzalez-Lopez , M. A. Rodriguez , R. Zhdanov

Recent developments of high-order CCM have been to extend existing formalism and codes to $s \ge \frac 12$ for both the ground and excited states. In this article, we describe how "generalised" expectation values for a wide range of one-…

强关联电子 · 物理学 2009-11-30 D. J. J. Farnell

The focus of this work is OS-CCSD-SPT(2), which is a second-order similarity transformed perturbation theory correction to opposite spin coupled cluster singles doubles, where in the latter the same-spin amplitudes are removed and the…

化学物理 · 物理学 2020-03-16 David W. Small

In this paper, we present a parallel computing method for the coupled-cluster singles and doubles (CCSD) in periodic systems. The CCSD in periodic systems solves simultaneous equations for single-excitation and double-excitation amplitudes.…

强关联电子 · 物理学 2019-11-04 Takumi Yamashita , Taichi Kosugi , Yu-ichiro Matsushita , Tetsuya Sakurai

We reexamine $\Delta$CCSD, a state-specific coupled-cluster (CC) with single and double excitations (CCSD) approach that targets excited states through the utilization of non-Aufbau determinants. This methodology is particularly efficient…

While restricted single-reference coupled cluster theory truncated to singles and doubles (CCSD) provides very accurate results for weakly correlated systems, it usually fails in the presence of static or strong correlation. This failure is…

化学物理 · 物理学 2016-02-25 Ireneusz W. Bulik , Thomas M. Henderson , Gustavo E. Scuseria

A new method that accurately describes strongly correlated states and captures dynamical correlation is presented. It is derived as a modification of coupled-cluster theory with single and double excitations (CCSD) through consideration of…

化学物理 · 物理学 2013-07-15 Daniel Kats , Frederick R. Manby

We apply the microscopic coupled-cluster method (CCM) to the spin-$1\over2$ $XXZ$ models on both the one-dimensional chain and the two-dimensional square lattice. Based on a systematic approximation scheme of the CCM developed by us…

凝聚态物理 · 物理学 2017-08-24 R. F. Bishop , R. G. Hale , Y. Xian

We introduce a unitary coupled-cluster (UCC) ansatz termed $k$-UpCCGSD that is based on a family of sparse generalized doubles (D) operators which provides an affordable and systematically improvable unitary coupled-cluster wavefunction…

量子物理 · 物理学 2019-01-07 Joonho Lee , William J. Huggins , Martin Head-Gordon , K. Birgitta Whaley