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We have examined the validity of the time-dependent variational approximation (TDVA) to the Gaussian wavepacket method (GWM) for quantum double-well (DW) systems, by using the quasi-exact spectral method (SM). Comparisons between results of…

Quantum Physics · Physics 2015-06-12 Hideo Hasegawa

The $GW$ approach of many-body perturbation theory (MBPT) has become a common tool for calculating the electronic structure of materials. However, with increasing number of published results, discrepancies between the values obtained by…

Materials Science · Physics 2016-08-03 Dmitrii Nabok , Andris Gulans , Claudia Draxl

A first-principles computational study is presented of various phases of LiAlO$_2$.The $\beta$ and $\gamma$ tetrahedral phases are found to be very close in energy with the $\gamma$ phase having the lowest energy. The octahedral $\alpha$…

Materials Science · Physics 2022-11-02 Phillip Popp , Walter R. L. Lambrecht

We present an implementation of the $GW$ space-time approach that allows cubic-scaling all-electron calculations with standard Gaussian basis sets without exploiting any localization nor sparsity considerations. The independent-electron…

Computational Physics · Physics 2021-04-29 Ivan Duchemin , Xavier Blase

The family of Green's function methods based on the $GW$ approximation has gained popularity in the electronic structure theory thanks to its accuracy in weakly correlated systems combined with its cost-effectiveness. Despite this,…

Chemical Physics · Physics 2023-08-31 Antoine Marie , Pierre-François Loos

Self consistent GW approach (scGW) has been applied to calculate the ground state properties (equilibrium Wigner-Seitz radius $S_{WZ}$ and bulk modulus $B$) of 3d transition metals Sc, Ti, V, Fe, Co, Ni, and Cu. The approach systematically…

Strongly Correlated Electrons · Physics 2017-10-31 Andrey L. Kutepov

Functionals of the meta-generalized gradient approximation (MGGA) are nowadays widely used in chemistry and solid-state physics for the simulation of electronic systems like molecules, solids, or surfaces. Due to their dependency on the…

Materials Science · Physics 2022-05-31 Jan Doumont , Fabien Tran , Peter Blaha

The search for new materials, based on computational screening, relies on methods that accurately predict, in an automatic manner, total energy, atomic-scale geometries, and other fundamental characteristics of materials. Many…

Materials Science · Physics 2017-10-25 M. J. van Setten , M. Giantomassi , X. Gonze , G. -M. Rignanese , G. Hautier

The convergence of self-consistent field equations in mean-field nuclear-electronic orbital methods strongly depends on the choice of initial guesses for quantum nuclei. Although several such guesses have been proposed in the literature, a…

Chemical Physics · Physics 2026-02-18 Denis G. Artiukhin

We present a comparative full-potential study of generalized Kohn-Sham schemes (gKS) with explicit focus on their suitability as starting point for the solution of the quasiparticle equation. We compare $G_0W_0$ quasiparticle band…

Materials Science · Physics 2008-05-06 F. Fuchs , J. Furthmüller , F. Bechstedt , M. Shishkin , G. Kresse

We introduce stochastic GW with the orthogonalized projector augmented-wave method (OPAW-sGW). This implementation enables accurate quasiparticle band gaps on significantly coarser real-space grids than norm-conserving pseudopotential sGW…

Chemical Physics · Physics 2026-04-02 Dimitri Bazile , Minh Nguyen , Yuji Kon , Tucker Allen , Daniel Neuhauser

A GW approximation (GWA) method named U+GWA is proposed, where we can start GWA with more localized wave functions obtained by the local spin-density approximation (LSDA)+U method. Then GWA and U+GWA are applied to MnO, NiO, and V$_2$O$_3$…

Strongly Correlated Electrons · Physics 2008-10-18 S. Kobayashi , Y. Nohara , S. Yamamoto , T. Fujiwara

We present the results of calculations for Pu and Am performed using an implementation of self-consistent relativistic GW method. The key feature of our scheme is to evaluate polarizability and self-energy in real space and Matsubara's…

Strongly Correlated Electrons · Physics 2015-06-03 A. Kutepov , K. Haule , S. Y. Savrasov , G. Kotliar

We apply the renormalized singles with correlation (RSc) Green's function in the $GW$ approximation to calculate accurate quasiparticle (QP) energies and orbitals. The RSc Green's function includes all orders of singles contributions from…

Chemical Physics · Physics 2022-10-19 Jiachen Li , Weitao Yang

We show how to construct an effective Hamiltonian whose dimension scales linearly with system size, and whose eigenvalues systematically approximate the excitation energies of GW theory. This is achieved by rigorously expanding the…

Chemical Physics · Physics 2023-07-18 Charles J. C. Scott , Oliver J. Backhouse , George H. Booth

We use a recently developed self-consistent $GW$ approximation to present systematic \emph{ab initio} calculations of the conduction band spin splitting in III-V and II-V zincblende semiconductors. The spin orbit interaction is taken into…

Other Condensed Matter · Physics 2007-11-10 A. N. Chantis , Mark van Schilfgaarde , Takao Kotani

The Gromov-Wasserstein (GW) framework adapts ideas from optimal transport to allow for the comparison of probability distributions defined on different metric spaces. Scalable computation of GW distances and associated matchings on graphs…

Machine Learning · Computer Science 2021-05-05 Samir Chowdhury , David Miller , Tom Needham

We present a new all-electron, augmented-wave implementation of the GW approximation using eigenfunctions generated by a recent variant of the full-potential LMTO method. The dynamically screened Coulomb interaction W is expanded in a mixed…

Materials Science · Physics 2009-11-07 Takao Kotani , Mark van Schilfgaarde

The theoretical understanding of emergent phenomena in quantum materials is one of the greatest challenges in condensed matter physics. In contrast to simple materials such as noble metals and semiconductors, macroscopic properties of…

Strongly Correlated Electrons · Physics 2016-08-30 Sangkook Choi , Andrey Kutepov , Kristjan Haule , Mark van Schilfgaarde , Gabriel Kotliar

The Gromov-Wasserstein (GW) problem provides a powerful framework for aligning heterogeneous datasets by matching their internal structures in a way that minimizes distortion. However, GW alignment is sensitive to data contamination by…

Statistics Theory · Mathematics 2025-06-27 Xiaoyun Gong , Sloan Nietert , Ziv Goldfeld