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Despite its simplicity and relatively low computational cost, second-order M{\o}ller-Plesset perturbation theory (MP2) is well-known to overbind noncovalent interactions between polarizable monomers and some organometallic bonds. In such…

Chemical Physics · Physics 2023-11-09 Kevin Carter-Fenk , James Shee , Martin Head-Gordon

Second-order M{\o}ller-Plesset perturbation theory (MP2) often breaks down catastrophically in small-gap systems, leaving much to be desired in its performance for myriad chemical applications such as noncovalent interactions,…

Chemical Physics · Physics 2023-07-05 Kevin Carter-Fenk , Martin Head-Gordon

We derive and assess two new classes of regularizers that cope with offending denominators in the single-reference second-order M{\o}ller-Plesset perturbation theory (MP2). In particular, we discuss the use of two types of orbital energy…

Chemical Physics · Physics 2018-08-28 Joonho Lee , Martin Head-Gordon

We present a scalable single-particle framework to treat electronic correlation in molecules and materials motivated by Green's function theory. We derive a size-extensive Brillouin-Wigner perturbation theory from the single-particle…

Chemical Physics · Physics 2023-09-12 Christopher J. N. Coveney , David P. Tew

Quantum chemical methods dealing with challenging systems while retaining low computational costs have attracted attention. In particular, many efforts have been devoted to developing new methods based on the second-order perturbation that…

Chemical Physics · Physics 2023-10-30 Nhan Tri Tran , Hoang Thanh Nguyen , Lan Nguyen Tran

We develop and test methods that include second and third-order perturbation theory (MP3) using orbitals obtained from regularized orbital-optimized second-order perturbation theory, $\kappa$-OOMP2, denoted as MP3:$\kappa$-OOMP2. Testing…

Chemical Physics · Physics 2019-10-15 Luke W. Bertels , Joonho Lee , Martin Head-Gordon

Second-order Moller-Plesset perturbation theory (MP2) provides accurate correlation energies for periodic systems but suffers from finite-size errors (FSEs) that have inverse volume scaling due to the Coulomb kernel singularity in…

Computational Physics · Physics 2026-05-14 Stephen Jon Quiton , Juan D. F. Pottecher , Martin Head-Gordon , Lin Lin

The relative energies of different phases or polymorphs of molecular solids can be small, less than a kiloJoule/mol. Reliable description of such energy differences requires high quality treatment of electron correlations, typically beyond…

Chemical Physics · Physics 2024-02-19 Khanh Ngoc Pham , Marcin Modrzejewski , Jiří Klimeš

We present an extension of our one-body M{\o}ller-Plesset second-order perturbation (OBMP2) method for open-shell systems. We derived the OBMP2 Hamiltonian through the canonical transformation followed by the cumulant approximation to…

Chemical Physics · Physics 2021-10-04 Lan Nguyen Tran

We present second-order molecular cluster perturbation theory (MCPT(2)), a linear scaling methodology to calculate arbitrarily large systems with explicit calculation of individual wavefunctions in a coupled-cluster framework. This new…

Accurate calculation of the motion of a compact object in a background spacetime induced by a supermassive black hole is required for the future detection of such binary systems by the gravitational-wave detector LISA. Reaching the desired…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Eran Rosenthal

A partial-active-space (PAS) multi-state (MS) multi-reference second-order perturbation theory (MRPT2) for the electronic structure of strongly correlated systems of electrons, dubbed PASPT2, is formulated by linearizing the intermediate…

Chemical Physics · Physics 2026-05-21 Chunzhang Liu , Ning Zhang , Wenjian Liu

We present a perturbative method for ab initio calculations of rotational and rovibrational effective Hamiltonians of both rigid and non-rigid molecules. Our approach is based on a curvilinear implementation of second order vibrational…

Chemical Physics · Physics 2016-11-04 P. Bryan Changala , Joshua H. Baraban

Despite its reasonable accuracy for ground-state properties of semiconductors and insulators, second-order Moller-Plesset perturbation theory (MP2) significantly underestimates band gaps. Here, we evaluate the band gap predictions of…

Materials Science · Physics 2021-09-15 Malte F. Lange , Timothy C. Berkelbach

Electron density distribution plays an essential role in predicting molecular properties. It is also a simple observable from which machine-learning models for molecular electronic structure can be derived. In the present work, we present…

Chemical Physics · Physics 2022-04-01 Lan Nguyen Tran

The modified Poisson-Boltzmann theory of the restricted primitive model double layer is revisited and recast in a fresh, slightly broader perspective. Derivation of relevant equations follow the techniques utilized in the earlier MPB4 and…

Statistical Mechanics · Physics 2017-10-05 L. B. Bhuiyan , C. W. Outhwaite

A new perturbative approach to canonical equation-of-motion coupled-cluster theory is presented using coupled-cluster perturbation theory. A second-order M{\o}ller-Plesset partitioning of the Hamiltonian is used to obtain the well known…

Chemical Physics · Physics 2015-07-09 Jason N. Byrd , Varun Rishi , Ajith Perera , Rodney J. Bartlett

We present a low-complexity algorithm to calculate the correlation energy of periodic systems in second-order M\o ller-Plesset perturbation theory (MP2). In contrast to previous approximation-free MP2 codes, our implementation possesses a…

Chemical Physics · Physics 2017-03-16 Tobias Schäfer , Benjamin Ramberger , Georg Kresse

Achieving kJ/mol accuracy in the cohesive energy of molecular crystals, as necessary for crystal structure prediction and the resolution of polymorphism, is an ongoing challenge in computational materials science. Here, we evaluate the…

Materials Science · Physics 2023-07-28 Yu Hsuan Liang , Hong-Zhou Ye , Timothy C. Berkelbach

The standard perturbation theory (SPT) approach to gravitational clustering is based on a fluid approximation of the underlying Vlasov-Poisson dynamics, taking only the zeroth and first cumulant of the phase-space distribution function into…

Cosmology and Nongalactic Astrophysics · Physics 2023-04-05 Mathias Garny , Dominik Laxhuber , Roman Scoccimarro
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