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We derive and analyze a hierarchy of approximations to the strongly correlated limit of the Hohenberg-Kohn functional. These "density representability approximations" are obtained by first noting that in the strongly correlated limit,…

Chemical Physics · Physics 2013-10-25 Gero Friesecke , Christian B. Mendl , Brendan Pass , Codina Cotar , Claudia Klüppelberg

Recent developments in optimization theory have extended some traditional algorithms for least-squares optimization of real-valued functions (Gauss-Newton, Levenberg-Marquardt, etc.) into the domain of complex functions of a complex…

Instrumentation and Methods for Astrophysics · Physics 2015-02-27 Oleg Smirnov , Cyril Tasse

An efficient approach to calculate approximate pure-state and transition reduced density matrices in the framework of the multireference relativistic Fock-space coupled cluster (FS CC) theory is proposed. The method is based on the…

Computational Physics · Physics 2025-06-12 Alexander V. Oleynichenko , Andrei Zaitsevskii , Leonid V. Skripnikov , Ephraim Eliav

Employing a local formula for the electron-electron interaction energy, we derive a self-consistent approximation for the total energy of a general $N$-electron system. Our scheme works as a local variant of the Thomas-Fermi approximation…

Chemical Physics · Physics 2013-10-31 E. Rasanen , A. Odriazola , I. Makkonen , A. Harju

We make ab initio predictions for the A = 6 nuclear level scheme based on two- and three-nucleon interactions up to next-to-next-to-leading order in chiral effective field theory ($\chi$EFT). We utilize eigenvector continuation and Bayesian…

Nuclear Theory · Physics 2022-02-04 T. Djärv , A. Ekström , C. Forssén , H. T. Johansson

Orbital-free density functional theory as an extension of traditional Thomas-Fermi theory has attracted a lot of interest in the past decade because of developments in both more accurate kinetic energy functionals and highly efficient…

Materials Science · Physics 2009-11-10 Hong Jiang , Weitao Yang

We present a simple and general formalism to compute efficiently the derivatives of a multi-determinant Jastrow-Slater wave function, the local energy, the interatomic forces, and similar quantities needed in quantum Monte Carlo. Through a…

Materials Science · Physics 2016-06-22 Claudia Filippi , Roland Assaraf , Saverio Moroni

In this work we propose an efficient and accurate multi-scale optical simulation algorithm by applying a numerical version of slowly varying envelope approximation in FEM. Specifically, we employ the fast iterative method to quickly compute…

Optics · Physics 2024-12-03 Fan Xiao , Jingwei Wang , Zhongfei Xiong , Yuntian Chen

The fact that the computational cost of simulating a many-body quantum system on a computer increases with the amount of entanglement has been considered as the major bottleneck for simulating its out-of-equilibrium dynamics. Some aspects…

Statistical Mechanics · Physics 2019-06-12 Jacopo Surace , Marco Piani , Luca Tagliacozzo

Dynamical Coherent-Potential Approximation (CPA) to correlated electrons has been extended to a system with realistic Hamiltonian which consists of the first-principles tight-binding Linear Muffintin Orbital (LMTO) bands and intraatomic…

Strongly Correlated Electrons · Physics 2008-07-08 Y. Kakehashi , T. Shimabukuro , T Tamashiro , T. Nakamura

Recently proposed local self-interaction correction (LSIC) method [Zope, R. R. et al., J. Chem. Phys. 151, 214108 (2019)] is a one-electron self-interaction-correction (SIC) method that uses an iso-orbital indicator to apply the SIC at each…

Chemical Physics · Physics 2023-02-22 Yoh Yamamoto , Tunna Baruah , Po-Hao Chang , Selim Romero , Rajendra R. Zope

We show that we can harness two recent experimental developments to build a compact hardware emulator for the classical Heisenberg model in statistical physics. The first is the demonstration of spin-diffusion lengths in excess of microns…

Mesoscale and Nanoscale Physics · Physics 2024-07-10 Saleh Bunaiyan , Supriyo Datta , Kerem Y. Camsari

The optimized effective potential (OEP) method is a promising technique for calculating the ground state properties of a system within the density functional theory. However, it is not widely used as its computational cost is rather high…

Materials Science · Physics 2016-12-15 Taro Fukazawa , Hisazumi Akai

The generalized spin stiffness constant for a doped quantum antiferromagnet has been investigated both analytically and numerically as a function of doping concentration at zero temperature, based on the strongly correlated t-J model on…

Strongly Correlated Electrons · Physics 2016-09-21 Suraka Bhattacharjee , Ranjan Chaudhury

A previously proposed computational procedure for constructing a set of nonorthogonal strongly localised one-electron molecular orbitals (O. Danyliv, L. Kantorovich - physics/0401107) is applied to a perfect $\alpha$-quartz crystal…

Chemical Physics · Physics 2009-11-10 Oleh Danyliv , Lev Kantorovich

Strong multiple scattering of the probe in scanning transmission electron microscopy (STEM) means image simulations are usually required for quantitative interpretation and analysis of elemental maps produced by electron energy-loss…

Materials Science · Physics 2019-12-25 Hamish G. Brown , Jim Ciston , Colin Ophus

The optimized effective potential (OEP) method allows for calculation of the local, effective single particle potential of density functional theory for explicitly orbital-dependent approximations to the exchange-correlation energy…

Materials Science · Physics 2015-06-25 P. Sule , S. Kurth , V. Van Doren

An exact Quantum Kinetic Monte Carlo method is proposed to calculate electron transport for 1D Fermi Hubbard model. The method is directly formulated in real time and can be applied to extract time dependent dynamics of general interacting…

Materials Science · Physics 2018-05-07 Fei Lin , Jianqiu Huang , Celine Hin

Employing first-principles electronic structure calculations in conjunction with the frozen-magnon method we study the effective exchange interactions and spin waves in local moment ferromagnets. As prototypes we have chosen three…

Materials Science · Physics 2012-10-30 I. Galanakis , E. Sasioglu

We derive an automatic procedure for generating a set of highly localized, non-orthogonal orbitals for linear scaling quantum Monte Carlo calculations. We demonstrate the advantage of these orbitals in calculations of the total energy of…

Materials Science · Physics 2007-05-23 F. A. Reboredo , A. J. Williamson