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Related papers: A polynomial Ansatz for Norm-conserving Pseudopote…

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We present a semiempirical pseudopotential method based on screened atomic pseudopotentials and derived from \textit{ab initio} calculations. This approach is motivated by the demand for pseudopotentials able to address nanostructures,…

Mesoscale and Nanoscale Physics · Physics 2013-09-25 Alejandro Molina-Sánchez , Alberto García-Cristóbal , Gabriel Bester

The transcorrelated (TC) method performs a similarity transformation on the electronic Schr\"odinger equation via Jastrow factorization of the wave function. This has demonstrated significant advancements in computational electronic…

We propose an efficient reduced-order technique for electronic structure calculations of semiconductor nanostructures, suited for inclusion in full-band quantum transport simulators. The model is based on the linear combination of bulk…

Mesoscale and Nanoscale Physics · Physics 2013-04-04 Francesco Bertazzi , Xiangyu Zhou , Michele Goano , Enrico Bellotti , Giovanni Ghione

Using the Wentzel-Kramers-Brillouin method, we derive a modified form of the Thomas-Fermi approximation to electron density. This new result enables us to calculate the details of the self-consistent ion cores, as well as the ionization…

Materials Science · Physics 2009-02-23 Gregory C. Dente , Michael L. Tilton

First-principles calculations in crystalline structures are often performed with a planewave basis set. To make the number of basis functions tractable two approximations are usually introduced: core electrons are frozen and the diverging…

The trace formula for the density of single-particle levels in the two-dimensional radial power-law potentials, which nicely approximate the radial dependence of the Woods-Saxon potential and quantum spectra in a bound region, was derived…

Exactly Solvable and Integrable Systems · Physics 2015-06-15 A. G. Magner , A. A. Vlasenko , K. Arita

A theory for the ab initio calculation of all-electron NMR chemical shifts in insulators using pseudopotentials is presented. It is formulated for both finite and infinitely periodic systems and is based on an extension to the Projector…

Materials Science · Physics 2016-08-31 Chris J. Pickard , Francesco Mauri

Polynomial machine learning potentials (MLPs) based on polynomial rotational invariants have been systematically developed for various systems and applied to efficiently predict crystal structures. In this study, we propose a robust…

Materials Science · Physics 2026-03-18 Hayato Wakai , Atsuto Seko , Isao Tanaka

We derive a zero-range pseudopotential that includes all possible terms up to sixth order in derivatives. Within the Hartree-Fock approximation, it gives the average energy that corresponds to a quasi-local nuclear Energy Density Functional…

Nuclear Theory · Physics 2011-06-06 F. Raimondi , B. G. Carlsson , J. Dobaczewski

Pulay's Residual Metric Minimization (RMM) method is one of the standard techniques for achieving self consistency in ab initio electronic structure calculations. We describe a reformulation of Pulay's RMM which guarantees reduction of the…

Condensed Matter · Physics 2009-10-31 D. R. Bowler , M. J. Gillan

We present an optimization algorithm to construct pseudopotentials and use it to generate a set of Optimized Norm-Conserving Vanderbilt (ONCV) pseudopotentials for elements up to Z=83 (Bi) (excluding Lanthanides). We introduce a quality…

Materials Science · Physics 2016-05-04 Martin Schlipf , Francois Gygi

The newly developed machine learning (ML) empirical pseudopotential (EP) method overcomes the poor transferability of the traditional EP method with the help of ML techniques while preserving its formal simplicity and computational…

Materials Science · Physics 2025-11-20 Sungmo Kang , Rokyeon Kim , Seungwu Han , Young-Woo Son

The inspiral of two compact objects in gravitational wave astronomy is described by a post-Newtonian expansion in powers of $(v/c)$. In most cases, it is believed that the post-Newtonian expansion is asymptotically divergent. A standard…

General Relativity and Quantum Cosmology · Physics 2011-12-15 Jérôme Carré , Edward K. Porter

First-principles calculations rely heavily on pseudopotentials, yet their impact on accuracy is hardly addressed. In this work, we show that most pseudopotentials to date introduce errors, which manifest themselves as errors of atomic…

Materials Science · Physics 2025-11-19 Kuiyu Ye , Jiale Shen , Haitao Liu , Yuanchang Li , S. B. Zhang

We present an ab initio pseudopotential local density functional calculation for stoichiometric high-Tc cuprate YBa_2Cu_3O_7 using the plane-wave basis set. We have overcome well-known difficulties in applying pseudopotential methods to…

Condensed Matter · Physics 2009-10-22 Hanchul Kim , Jisoon Ihm

In this paper we propose a new pseudo-phase crystal structure, based on an orthorhombic distortion of the diamond structure, for the ground-state $\alpha$-phase of plutonium. Electronic-structure calculations in the generalized-gradient…

Condensed Matter · Physics 2009-11-10 J. Bouchet , R. C. Albers , M. D. Jones , G. Jomard

A variant of the Vanderbilt ultrasoft pseudopotential scheme, where the normconservation is released for only one or a few angular channels, is presented. Within this scheme some difficulties of the truly ultrasoft pseudopotentials are…

Condensed Matter · Physics 2009-10-28 Kurt Stokbro

We present an efficient and robust semi-analytical formulation to compute the electric potential due to arbitrary-located point electrodes in three-dimensional cylindrically stratified media, where the radial thickness and the medium…

Computational Physics · Physics 2015-06-22 Haksu Moon , Fernando L. Teixeira , Burkay Donderici

An ab-initio pseudopotential calculation using density functional theory within the local density approximation has been performed to investigate the electronic properties of TlSe which is of chain-like crystal geometry. The energy bands…

Strongly Correlated Electrons · Physics 2007-05-23 Ş. Ellialtıoğlu , E. Mete , R. Shaltaf , K. Allakhverdiev , F. Gashimzade , M. Nizametdinova , G. Orudzhev

Internal energies, enthalpies, phonon dispersion curves, and superconductivity of atomic metallic hydrogen are calculated. The (standard) use pseudopotentials in density-functional theory are compared with full (Coulomb)-potential…

Materials Science · Physics 2019-12-05 Jin Zhang , Jeffrey M. McMahon