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A new pseudopotential generation method is presented which significantly improves transferability. The method exploits the flexibility contained in the separable Kleinman-Bylander form of the nonlocal pseudopotential [Phys. Rev. Lett. 48,…

Condensed Matter · Physics 2007-05-23 Nicholas J. Ramer , Andrew M. Rappe

We generalize the concept of separable dual-space Gaussian pseudopotentials to the relativistic case. This allows us to construct this type of pseudopotential for the whole periodic table and we present a complete table of pseudopotential…

Soft Condensed Matter · Physics 2009-10-31 C. Hartwigsen , S. Goedecker , J. Hutter

We show that efficient norm-conserving pseudopotentials for electronic structure calculations can be obtained from a polynomial Ansatz for the potential. Our pseudopotential is a polynomial of degree ten in the radial variable and fulfills…

Materials Science · Physics 2018-06-29 Martin Kiffner , Dieter Jaksch , Davide Ceresoli

We present a general method of constructing \textit{in-situ} pseodopotentials from first principles, all-electron, full-potential electronic structure calculations of a solid. The method is applied to bcc Na, at equilibrium volume. The…

Materials Science · Physics 2021-02-10 K. Björnson , J. M. Wills , M. Alouani , O. Grånäs , P. Thunström , Chin Shen Ong , O. Eriksson

We develop an automated procedure to select the local potential of a separable pseudopotential that minimizes transferability errors for the isolated atom, and we show that this optimization leads to significant improvements in the accuracy…

Chemical Physics · Physics 2018-11-05 Casey O. Barkan , Andrew M. Rappe

In the present work we study numerical solution of the radial Dirac equation in a specific case - ab-initio pseudopotential generating process - which is needed within the electronic structure calculations using a Density Functional Theory…

Atomic Physics · Physics 2007-10-19 Ondrej Certik

A relativistic extension of our pseudo-shifted $\ell$-expansion technique is presented to solve for the eigenvalues of Dirac and Klein-Gordon equations. Once more we show the numerical usefulness of its results via comparison with available…

Mathematical Physics · Physics 2009-11-10 Omar Mustafa

In this study a computational method of the multi-reference VCA(virtual crystal approximation) pseudo-potential generation is presented. This is an extension of that proposed Ramer and Rappe [J. Phys. Chem. Sol. 61, 315(2000)], the scheme…

Computational Physics · Physics 2018-07-24 Akihito Kikuchi

We extend the notion of Dirac oscillator in two dimensions, to construct a set of potentials. These potentials becomes exactly and quasi-exactly solvable potentials of non-relativistic quantum mechanics when they are transformed into a…

Quantum Physics · Physics 2009-11-11 Ramazan Koc , Mehmet Koca

Approximate analytical solutions of the Dirac equation are obtained for some diatomic molecular potentials plus a tensor interaction with spin and pseudospin symmetries with any angular momentum. We find the energy eigenvalue equations in…

Quantum Physics · Physics 2015-06-12 Huseyin Akcay , Ramazan Sever

We derive a generalized zero-range pseudopotential applicable to all partial wave solutions to the Schroedinger equation based on a delta-shell potential in the limit that the shell radius approaches zero. This properly models all higher…

Quantum Physics · Physics 2009-11-10 Rene Stock , Andrew Silberfarb , Eric L. Bolda , Ivan H. Deutsch

We present a general numerical approach to construct local Kohn-Sham potentials from orbital-dependent functionals within the all-electron full-potential linearized augmented-plane-wave (FLAPW) method, in which core and valence electrons…

Materials Science · Physics 2011-07-06 Markus Betzinger , Christoph Friedrich , Stefan Blügel , Andreas Görling

We propose a systematic method of analyzing pseudopotential transferability based on linear-response properties of the free atom, including self-consistent chemical hardness and polarizability. Our calculation of hardness extends the…

mtrl-th · Physics 2009-10-28 A. Filippetti , David Vanderbilt , W. Zhong , Yong Cai , G. B. Bachelet

Depending on the behaviour of the complex-valued electromagnetic potential in the neighbourhood of infinity, pseudomodes of one-dimensional Dirac operators corresponding to large pseudoeigenvalues are constructed. This is a first systematic…

Mathematical Physics · Physics 2022-08-22 David Krejcirik , Tho Nguyen Duc

The increasing use of high-throughput density-functional theory (DFT) calculations in the computational design and optimization of materials requires the availability of a comprehensive set of soft and transferable pseudopotentials. Here we…

Materials Science · Physics 2013-12-10 Kevin F. Garrity , Joseph W. Bennett , Karin M. Rabe , David Vanderbilt

The package fhi98PP allows one to generate norm-conserving pseudopotentials adapted to density-functional theory total-energy calculations for a multitude of elements throughout the periodic table, including first-row and transition metal…

Materials Science · Physics 2009-10-31 Martin Fuchs , Matthias Scheffler

Developing reliable pseudopotentials for orbital-free density functional theory (OF-DFT), especially for transition metals, remains a significant challenge. In this study, we provide a theoretical framework for analyzing pseudization…

A new method is presented for obtaining all-electron results from a pseudopotential calculation. This is achieved by carrying out a localised calculation in the region of an atomic nucleus using the embedding potential method of Inglesfield…

Materials Science · Physics 2015-05-14 J. R. Trail , D. M. Bird

In the present work we establish a simple relation between the Dirac equation with a scalar and an electromagnetic potentials in a two-dimensional case and a pair of decoupled Vekua equations. In general these Vekua equations are bicomplex.…

Mathematical Physics · Physics 2009-11-11 Antonio Castaneda , Vladislav V. Kravchenko

Due to the chiral nature of the Dirac equation, overlying of an electrical superlattice (SL) can open new Dirac points on the Fermi-surface of the energy spectrum. These lead to novel low-excitation physical phenomena. A typical example for…

Mesoscale and Nanoscale Physics · Physics 2014-05-28 Juergen Dietel , Hagen Kleinert
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