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Related papers: A Wannier function based ab initio Hartree-Fock ap…

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In the present letter, we report the extension of our Wannier-function-based ab initio Hartree-Fock approach---meant originally for three-dimensional crystalline insulators---to deal with quasi-one-dimensional periodic systems such as…

Condensed Matter · Physics 2009-10-31 Alok Shukla , Michael Dolg , Hermann Stoll

A recently proposed approach for performing electronic-structure calculations on crystalline insulators in terms of localized orthogonal orbitals is applied to the oxides of lithium and sodium, Li2O and Na2O. Cohesive energies, lattice…

Condensed Matter · Physics 2009-10-31 Alok Shukla , Michael Dolg , Peter Fulde , Hermann Stoll

An ab initio Hartree-Fock approach aimed at directly obtaining the localized orthogonal orbitals (Wannier functions) of a crystalline insulator is described in detail. The method is used to perform all-electron calculations on the ground…

Condensed Matter · Physics 2009-10-30 Alok Shukla , Michael Dolg , Peter Fulde , Hermann Stoll

An ab initio Wannier-function-based approach to electronic ground-state calculations for crystalline solids is outlined. In the framework of the linear combination of atomic orbitals method the infinite character of the solid is rigorously…

Condensed Matter · Physics 2009-10-31 Martin Albrecht , Alok Shukla , Michael Dolg , Peter Fulde , Hermann Stoll

We present a wavefunction-based approach to correlated ab initio calculations on crystalline insulators of infinite extent. It uses the representation of the occupied and the unoccupied (virtual) single-particle states of the infinite solid…

Condensed Matter · Physics 2009-10-31 Alok Shukla , Michael Dolg , Peter Fulde , Hermann Stoll

Correlated {\em ab initio} electronic structure calculations are reported for the polymers lithium hydride chain $[LiH]_{\infty}$ and beryllium hydride $[Be_{2}H_{4}]_{\infty}$. First, employing a Wannier-function-based approach, the…

Condensed Matter · Physics 2009-10-31 Ayjamal Abdurahman , Alok Shukla , Michael Dolg

We describe a method to calculate the electronic properties of an insulator under an applied electric field. It is based on the minimization of an electric enthalpy functional with respect to the orbitals, which behave as Wannier functions…

Materials Science · Physics 2019-10-22 Pawel Lenarczyk , Mathieu Luisier

A standard task in solid state physics and quantum chemistry is the computation of localized molecular orbitals known as Wannier functions. In this manuscript, we propose a new procedure for computing Wannier functions in one-dimensional…

Mathematical Physics · Physics 2025-10-21 Abinand Gopal , Hanwen Zhang

The Hartree-Fock equations are modified to directly yield Wannier functions following a proposal of Shukla et al. [Chem. Phys. Lett. 262, 213-218 (1996)]. This approach circumvents the a posteriori application of the Wannier transformation…

Other Condensed Matter · Physics 2007-05-23 Christian Buth

When using Wannier functions to study the electronic structure of multi-parameter Hamiltonians $H^{(\boldsymbol k,\bf \lambda)}$ carrying a dependence on crystal momentum $\boldsymbol k$ and an additional periodic parameter $\bf\lambda$,…

Materials Science · Physics 2015-06-11 Jan-Philipp Hanke , Frank Freimuth , Stefan Blügel , Yuriy Mokrousov

In this paper we present an approach aimed at calculating the optical dielectric constant of crystalline insulators both at the Hartree-Fock, and correlated levels. Our scheme employs a real-space methodology, employing Wannier functions as…

Materials Science · Physics 2010-01-14 Priya Sony , Alok Shukla

In this paper we present an approach aimed at performing many-body calculations of Born-effective charges of crystalline insulators, by including the electron-correlation effects. The scheme is implemented entirely in the real space, using…

Materials Science · Physics 2010-01-14 Priya Sony , Alok Shukla

A new method for the localization of crystalline orbitals for entangled energy bands is proposed. It is an extension of the Wannier-Boys algorithm [C. M. Zicovich-Wilson, R. Dovesi, and V. R. Saunders, J. Chem. Phys. 115, 9708 (2001)] which…

Materials Science · Physics 2009-01-07 Uwe Birkenheuer , Dmitry Izotov

Ab initio determination of model Hamiltonian parameters for strongly correlated materials is a key issue in applying many-particle theoretical tools to real narrow-band materials. We propose a self-contained calculation scheme to construct,…

Strongly Correlated Electrons · Physics 2008-09-09 Dm. Korotin , A. V. Kozhevnikov , S. L. Skornyakov , I. Leonov , N. Binggeli , V. I. Anisimov , G. Trimarchi

Wannier functions provide a localized representation of spectral subspaces of periodic Hamiltonians, and play an important role for interpreting and accelerating Hartree-Fock and Kohn-Sham density functional theory calculations in quantum…

Computational Physics · Physics 2018-01-29 Anil Damle , Antoine Levitt , Lin Lin

We present a formal expression for Wannier functions of composite bands of 1-D Bloch electrons in terms of parallel-transported Bloch functions and their non-Abelian geometric phases. Spatial decay properties of these Wannier functions are…

Materials Science · Physics 2009-11-10 Joydeep Bhattacharjee , Umesh V Waghmare

We consider a real periodic Schr\"odinger operator and a physically relevant family of $m \geq 1$ Bloch bands, separated by a gap from the rest of the spectrum, and we investigate the localization properties of the corresponding composite…

Mathematical Physics · Physics 2016-01-13 Domenico Fiorenza , Domenico Monaco , Gianluca Panati

We propose an improved scheme to construct many-body trial wave functions for fractional Chern insulators (FCI), using one-dimensional localized Wannier basis. The procedure borrows from the original scheme on a continuum cylinder, but is…

Strongly Correlated Electrons · Physics 2012-08-30 Yang-Le Wu , N. Regnault , B. Andrei Bernevig

In insulators, the method of Marzari and Vanderbilt [Phys. Rev. B {\bf 56}, 12847 (1997)] can be used to generate maximally localized Wannier functions whose centers are related to the electronic polarization. In the case of layered…

Materials Science · Physics 2009-12-17 Xifan Wu , Oswaldo Diéguez , Karin M. Rabe , David Vanderbilt

We discuss a method for constructing generalized Wannier functions that are maximally localized at the minima of a one-dimensional periodic potential with a double-well per unit cell. By following the approach of (Marzari M and Vanderbilt D…

Quantum Gases · Physics 2013-07-04 Michele Modugno , Giulio Pettini
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