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Motivated by the analysis of gapped periodic quantum systems in presence of a uniform magnetic field in dimension $d \le 3$, we study the possibility to construct spanning sets of exponentially localized (generalized) Wannier functions for…

Mathematical Physics · Physics 2019-08-21 Horia D. Cornean , Domenico Monaco , Massimo Moscolari

We have proposed a method for correcting the Kohn-Sham eigen energies in the density functional theory (DFT) based on the Koopmans theorem using Wannier functions. The method provides a general approach applicable for molecules and solids…

Computational Physics · Physics 2015-03-02 Jie Ma , Lin-Wang Wang

Starting from the observation that one of the most successful methods for solving the Kohn-Sham equations for periodic systems -- the plane-wave method -- is a spectral method based on eigenfunction expansion, we formulate a spectral method…

Computational Physics · Physics 2016-03-08 Amartya S. Banerjee , Ryan S. Elliott , Richard D. James

Wannier90 is an open-source computer program for calculating maximally-localised Wannier functions (MLWFs) from a set of Bloch states. It is interfaced to many widely used electronic-structure codes thanks to its independence from the basis…

Unfolding the band structure of a supercell to a normal cell enables us to investigate how symmetry breakers such as surfaces and impurities perturb the band structure of the normal cell. We generalize the unfolding method, originally…

Materials Science · Physics 2013-08-07 Chi-Cheng Lee , Yukiko Yamada-Takamura , Taisuke Ozaki

We describe a robust method for determining Pipek-Mezey (PM) Wannier functions (WF), recently introduced by J\'onsson et al. (J. Chem. Theor. Chem. 2017, 13, 460), which provide some formal advantages over the more common Boys (also known…

Chemical Physics · Physics 2024-07-30 Marjory C. Clement , Xiao Wang , Edward F. Valeev

Moir\'e superlattices in two-dimensional (2D) materials exhibit rich quantum phenomena, but ab initio modelling of these systems remains computationally prohibitive. Existing machine learning methods for accelerating density-functional…

Materials Science · Physics 2026-02-11 Zekun Lou , Alan M. Lewis , Mariana Rossi

With its monoelemental composition, various crystalline forms and an inherently strong spin-orbit coupling, bismuth has been regarded as an ideal prototype material to expand our understanding of topological electronic structures. In…

We present a joint implementation of dynamical-mean-field theory (DMFT) with the pseudopotential plane-wave approach, via Wannier functions, for the determination of the electronic properties of strongly correlated materials. The scheme…

Strongly Correlated Electrons · Physics 2018-08-08 G. Trimarchi , I. Leonov , N. Binggeli , Dm. Korotin , V. I. Anisimov

We study statistical properties of a class of band random matrices which naturally appears in systems of interacting particles. The local spectral density is shown to follow the Breit-Wigner distribution in both localized and delocalized…

Condensed Matter · Physics 2009-10-28 Ph. Jacquod , D. L. Shepelyansky

Molecular dipole moment in liquid water is an intriguing property, partly due to the fact that there is no unique way to partition the total electron density into individual molecular contributions. The prevailing method to circumvent this…

Chemical Physics · Physics 2021-05-17 Lisanne Knijff , Chao Zhang

We present a computational scheme to study spin excitations in magnetic materials from first principles. The central quantity is the transverse spin susceptibility, from which the complete excitation spectrum, including single-particle…

Materials Science · Physics 2010-03-04 Ersoy Sasioglu , Arno Schindlmayr , Christoph Friedrich , Frank Freimuth , Stefan Blügel

The Wannier-Stark localization dynamically alters the entanglement behavior of non-Hermitian free fermions. Utilizing the single-particle correlation matrix technique, we analyze the effective Hamiltonian of these fermions with a…

Quantum Physics · Physics 2024-09-26 Han-Ze Li , Minhui Wan , Jian-Xin Zhong

We have constructed maximally-localized Wannier functions for prototype structures of solid molecular hydrogen under pressure, starting from LDA and tight-binding Bloch wave functions. Each occupied Wannier function can be associated with…

Materials Science · Physics 2009-10-31 Ivo Souza , Richard M. Martin , Nicola Marzari , Xinyuan Zhao , David Vanderbilt

A key objective of computational solid state physics is to predict electronic properties of periodic materials. However, electronic structure simulations based on density functional theory fail to predict experimental results if…

The Wigner-Smith (WS) time delay matrix relates a system's scattering matrix to its frequency derivative and gives rise to so-called WS modes that experience well-defined group delays when interacting with the system. For systems composed…

Computational Physics · Physics 2023-06-14 Yiqian Mao , Utkarsh R. Patel , Eric Michielssen

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

We extend the Intrinsic Atomic Orbital (IAO) method for localisation of molecular orbitals to calculate well-localised generalised Wannier functions in crystals using the Pipek--Mezey locality metric. We furthermore present a one-shot…

Materials Science · Physics 2024-07-02 Andrew Zhu , David P. Tew

Variational (Rayleigh-Ritz) methods are applied to local quantum field theory. For scalar theories the wave functional is parametrized in the form of a superposition of Gaussians and the expectation value of the Hamiltonian is expressed in…

High Energy Physics - Theory · Physics 2016-08-25 George Tiktopoulos

An extended Wigner function formalism is introduced for describing the quantum dynamics of particles with internal degrees of freedom in the presence of spatially inhomogeneous fields. The approach is used for quantitative simulations of…

Quantum Physics · Physics 2014-05-09 Marcel Utz , Malcolm H Levitt , Nathan Cooper , Hendrik Ulbricht