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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 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

Maximally localized Wannier functions use the gauge freedom of Bloch wavefunctions to define the optimally smooth subspace with matrix elements that depend smoothly on crystal momentum. The associated Wannier functions are real-space…

Materials Science · Physics 2024-10-24 Giulio Volpato , Stefano Mocatti , Giovanni Marini , Matteo Calandra

We present a first-principles scheme that allows the orbital magnetization of a magnetic crystal to be evaluated accurately and efficiently even in the presence of complex Fermi surfaces. Starting from an initial electronic-structure…

Materials Science · Physics 2012-02-03 M. G. Lopez , David Vanderbilt , T. Thonhauser , Ivo Souza

We present a numerical implementation, based on Wannier interpolation, of a Kubo-Greenwood formalism for computing the spatially dispersive optical conductivity in crystals at first order in the wave vector of light. This approach is more…

Materials Science · Physics 2025-04-21 Andrea Urru , Ivo Souza , Óscar Pozo Ocaña , Stepan S. Tsirkin , David Vanderbilt

A non-iterative method is presented to calculate the closest Wannier functions (CWFs) to a given set of localized guiding functions, such as atomic orbitals, hybrid atomic orbitals, and molecular orbitals, based on minimization of a…

Materials Science · Physics 2023-07-03 Taisuke Ozaki

Localized Wannier functions provide an efficient and intuitive means by which to compute dielectric properties from first principles. They are most commonly constructed in a post-processing step, following total-energy minimization.…

Materials Science · Physics 2012-05-16 David D. O'Regan , Mike C. Payne , Arash A. Mostofi

We describe and implement a first-principles algorithm based on maximally-localized Wannier functions for calculating the shift-current response of piezoelectric crystals in the independent-particle approximation. The proposed algorithm…

Materials Science · Physics 2018-06-29 Julen Ibañez-Azpiroz , Stepan S. Tsirkin , Ivo Souza

Maximally localized Wannier functions are widely used in electronic structure theory for analyses of bonding, electric polarization, orbital magnetization, and for interpolation. The state of the art method for their construction is based…

Materials Science · Physics 2015-12-02 Jamal I. Mustafa , Sinisa Coh , Marvin L. Cohen , Steven G. Louie

We introduce a new type of Wannier functions (WFs) obtained by minimizing the conventional spread functional with a penalty term proportional to the variance of the spread distribution. This modified Wannierisation scheme is less prone to…

Other Condensed Matter · Physics 2021-11-09 Pietro F. Fontana , Ask H. Larsen , Thomas Olsen , Kristian S. Thygesen

Localized Wannier functions provide an efficient and intuitive framework to compute electric polarization from first-principles. They can also be used to represent the electronic systems at fixed electric field and to determine dielectric…

Materials Science · Physics 2020-01-28 Pawel Lenarczyk , Mathieu Luisier

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

We present an automatic, high-order accurate, and adaptive Brillouin zone integration algorithm for the calculation of the optical conductivity with a non-zero but small broadening factor $\eta$, focusing on the case in which a Hamiltonian…

Materials Science · Physics 2024-06-25 Lorenzo Van Muñoz , Jason Kaye , Alex Barnett , Sophie Beck

Functionals that strive to correct for such self-interaction errors, such as those obtained by imposing the Perdew-Zunger self-interaction correction or the generalized Koopmans' condition, become orbital dependent or orbital-density…

Materials Science · Physics 2011-08-30 Cheol-Hwan Park , Andrea Ferretti , Ismaila Dabo , Nicolas Poilvert , Nicola Marzari

We present a theoretical method for calculating optical absorption spectra based on maximally localized Wannier functions, which is suitable for large periodic systems. For this purpose, we calculate the exciton Hamiltonian, which…

Mesoscale and Nanoscale Physics · Physics 2023-09-14 Konrad Merkel , Frank Ortmann

RESPACK is a first-principles calculation software for evaluating the interaction parameters of materials and is able to calculate maximally localized Wannier functions, response functions based on the random phase approximation and related…

The interaction of optical fields sculpted on the nano-scale with matter may not be described by the dipole approximation since the fields vary appreciably across the molecular length scale. Rather than incrementally adding higher…

Quantum Physics · Physics 2015-10-28 Vladimir Y. Chernyak , Prasoon Saurabh , Shaul Mukamel

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 adapted a recently proposed framework to characterize the optical response of interacting electrons in solids in order to expedite its computation without compromise in accuracy at the microscopic level. Our formulation is based on…

Materials Science · Physics 2021-03-02 Emilia Ridolfi , Paolo E. Trevisanutto , Vitor M. Pereira
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