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The description of realistic strongly correlated systems has recently advanced through the combination of density functional theory in the local density approximation (LDA) and dynamical mean field theory (DMFT). This LDA+DMFT method is…

Strongly Correlated Electrons · Physics 2009-11-13 B. Amadon , F. Lechermann , A. Georges , F. Jollet , T. O. Wehling , A. I. Lichtenstein

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

Motivated by recent results of $N$th order muffin-tin orbital (NMTO) implementation of the density functional theory (DFT), we re-examine low-temperature ground-state properties of the anti-ferromagnetic insulating phase of vanadium…

Strongly Correlated Electrons · Physics 2015-05-13 N. B. Perkins , S. Di Matteo , C. R. Natoli

In this set of three papers, we present the results of a combined study by density-functional (LDA) band theory (NMTO) and angle-resolved photoemission spectroscopy (ARPES) of lithium purple bronze, 2(Li$_{1x}$Mo$_{6}$O$_{17}$). This…

Strongly Correlated Electrons · Physics 2024-05-01 L. Dudy , J. W. Allen , J. D. Denlinger , J. He , M. Greenblatt , M. W. Haverkort , Y. Nohara , O. K. Andersen

Transition metal dichalcogenide materials $MX_2 (M=Mo,W;X=S,Se)$ are being thoroughly studied due to their novel two-dimensional structure, that is associated with exceptional optical and transport properties. From a computational point of…

Materials Science · Physics 2020-02-12 James Sifuna , Pablo García-Fernández , George S. Manyali , George Amolo , Javier Junquera

A systematic method is presented for constructing effective Hamiltonians for general phonon-related structural transitions. The key feature is the application of group theoretical methods to identify the subspace in which the effective…

mtrl-th · Physics 2009-10-28 K. M. Rabe , U. V. Waghmare

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

We develop a strong coupling approach towards quantum magnetism in Mott insulators for Wannier obstructed bands. Despite the lack of Wannier orbitals, electrons can still singly occupy a set of exponentially-localized but nonorthogonal…

Strongly Correlated Electrons · Physics 2025-12-03 Xiao-Yang Huang , Taige Wang , Shang Liu , Hong-Ye Hu , Yi-Zhuang You

Second-order topological insulators can be characterized by their bulk polarization, which is believed to be intrinsically connected to the center of the Wannier function. In this study, we demonstrate the existence of second-order…

Mesoscale and Nanoscale Physics · Physics 2024-05-06 Zhenzhen Liu , Xiaoxi Zhou , Guochao Wei , Lei Gao , Bo hou , Jun-Jun Xiao

The essential features of a full potential electronic structure method using Linear Muffin-Tin Orbitals (LMTOs) are presented. The electron density and potential in the this method are represented with no inherent geometrical approximation.…

Materials Science · Physics 2007-05-23 John M Wills , Olle Eriksson , Mebarek Alouani , David L. Price

A band structure description of the observed large band gaps and moments in both the antiferromagnetic (AFM) and paramagnetic (PM) phases of the classic NaCl-structure Mott insulators MnO, FeO, CoO, and NiO is provided by ordinary,…

Materials Science · Physics 2018-01-10 Giancarlo Trimarchi , Alex Zunger

We present a robust algorithm that computes (maximally localized) Wannier functions (WFs) without the need of providing an initial guess. Instead, a suitable starting point is constructed automatically from so-called local orbitals which…

Materials Science · Physics 2020-07-01 Sebastian Tillack , Andris Gulans , Claudia Draxl

We argue that various kinds of topological insulators (TIs) can be insightfully characterized by an inspection of the charge centers of the hybrid Wannier functions, defined as the orbitals obtained by carrying out a Wannier transform on…

Mesoscale and Nanoscale Physics · Physics 2014-03-17 Maryam Taherinejad , Kevin F. Garrity , David Vanderbilt

Maximally-localized Wannier functions are quantum wavefunctions resembling atomic orbitals that are used to describe electrons in condensed matter. Since their introduction in 1997, these functions have become ubiquitous in ab initio…

Computational Physics · Physics 2026-04-09 Sabyasachi Tiwari , Bruno Cucco , Viet-Anh Ha , Feliciano Giustino

A powerful result of topological band theory is that nontrivial phases manifest obstructions to constructing localized Wannier functions. In Chern insulators, it is impossible to construct Wannier functions that respect translational…

Mesoscale and Nanoscale Physics · Physics 2022-08-11 Todd Van Mechelen , Robert-Jan Slager , Sathwik Bharadwaj , Zubin Jacob

We derived explicit expressions of symmetry operators on Wannier basis, and implemented these operators in WannSymm software. Based on this implementation, WannSymm can i) symmetrize the real-space Hamiltonian output from Wannier90 code,…

Materials Science · Physics 2021-10-29 Guo-Xiang Zhi , Chenchao Xu , Si-Qi Wu , Fanlong Ning , Chao Cao

Local density approximation (LDA) to the density functional theory (DFT) has continuous derivative of total energy as a number of electrons function and continuous exchange-correlation potential, while in exact DFT both should be…

Strongly Correlated Electrons · Physics 2010-06-28 V. I. Anisimov , A. V. Kozhevnikov , M. A. Korotin , A. V. Lukoyanov , D. A. Khafizullin

We present the formalism and demonstrate the use of the overlapping muffin-tin approximation (OMTA). This fits a full potential to a superposition of spherically symmetric short-ranged potential wells plus a constant. For one-electron…

Materials Science · Physics 2014-03-05 M. Zwierzycki , O. K. Andersen

To perform a local orbital analysis of electronic and magnetic interactions, we construct the Wannier functions (WFs) of the Fe $3d$ orbitals in the parent compound of the recently discovered iron pnictide superconductors, LaFeAsO, and a…

Superconductivity · Physics 2010-07-20 Z. P. Yin , W. E. Pickett

We present a semi-automated method for obtaining an initial estimate of Wannier functions, designed to facilitate the construction of Wannier functions for describing low-energy effective models of solids, particularly those relevant to…

Strongly Correlated Electrons · Physics 2025-12-24 Tatsuki Oikawa , Kota Ido , Takahiro Misawa , Takashi Koretsune , Kazuyoshi Yoshimi