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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

We present a method for obtaining well-localized Wannier-like functions (WFs) for energy bands that are attached to or mixed with other bands. The present scheme removes the limitation of the usual maximally-localized WFs method (N. Marzari…

Materials Science · Physics 2009-11-07 Ivo Souza , Nicola Marzari , 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

A computationally inexpensive k.p-based interpolation scheme is developed that can extend the eigenvalues and momentum matrix elements of a sparsely sampled k-point grid into a densely sampled one. Dense sampling, often required to…

Materials Science · Physics 2017-03-23 Kristian Berland , Clas Persson

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

We present a study of the construction and spatial properties of localized Wannier orbitals in large supercells of insulating solids using plane waves as the underlying basis. The Pipek-Mezey (PM) functional in combination with intrinsic…

Chemical Physics · Physics 2025-10-22 Benjamin Wöckinger , Alexander Rumpf , Tobias Schäfer

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 compute the Hall angle and the magnetoresistance of the spin-fermion model, which is a successful phenomenological theory to describe the physics of the cuprates and iron-based superconductors within a wide range of doping regimes. We…

Strongly Correlated Electrons · Physics 2017-09-04 Hermann Freire

Based on ab initio software packages using nonorthogonal localized orbitals, we develop a general scheme of calculating response functions. We test the performance of this method by calculating nonlinear optical responses of materials, like…

Materials Science · Physics 2019-09-05 Chong Wang , Sibo Zhao , Xiaomi Guo , Xinguo Ren , Bing-Lin Gu , Yong Xu , Wenhui Duan

We derive a minimal low-energy model for Bernal bilayer graphene and related rhombohedral graphene multilayers at low electronic densities by constructing Wannier orbitals defined in real-space supercells of the original primitive cell.…

Mesoscale and Nanoscale Physics · Physics 2024-12-03 Ammon Fischer , Lennart Klebl , Dante M. Kennes , Tim O. Wehling

We present an efficient {\it ab initio} approach for the study of magnetic transport properties based on the Boltzmann equation with the Wannier interpolation scheme. Within the relaxation time approximation, band-resolved electric…

Materials Science · Physics 2010-08-03 Yi Liu , Hai-Jun Zhang , Yugui Yao

Koopmans spectral functionals aim to describe simultaneously ground state properties and charged excitations of atoms, molecules, nanostructures and periodic crystals. This is achieved by augmenting standard density functionals with simple…

Materials Science · Physics 2022-07-25 Nicola Colonna , Riccardo De Gennaro , Edward Linscott , Nicola Marzari

Since the seminal work of Marzari and Vanderbilt, maximally localized Wannier functions have become widely used as a real-space representation of the electronic structure of periodic materials. In this paper we introduce selectively…

Strongly Correlated Electrons · Physics 2016-04-08 Runzhi Wang , Emanuel A. Lazar , Hyowon Park , Andrew J. Millis , Chris A. Marianetti

Thanks to the nearsightedness principle, the low-energy electronic structure of solids can be represented by localized states such as the Wannier functions. Wannier functions are actively being applied to a wide range of phenomena in…

Materials Science · Physics 2021-12-22 Jae-Mo Lihm , Cheol-Hwan Park

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 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

We present Fourier-space based methods to calculate the electronic structure of wurtzite quantum dot systems with continuous alloy profiles. We incorporate spatially varying elastic and dielectric constants in strain and piezoelectric…

Mesoscale and Nanoscale Physics · Physics 2021-01-06 Luc Robichaud , Jacob J. Krich

A scattering method is used to calculate the surface band structure of Al(111) from 8.6 eV below the Fermi level to 9 eV above it. This method has rarely been implemented previously. The complete complex bulk and surface band structure is…

Materials Science · Physics 2011-04-07 M. N. Read

The position operator in a Bloch representation acquires a gauge correction in the momentum space on top of the canonical position, which is called the anomalous position. We show that the anomalous position is generally orbital-dependent…

Mesoscale and Nanoscale Physics · Physics 2024-02-08 Dongwook Go , Hyun-Woo Lee , Peter M. Oppeneer , Stefan Blügel , Yuriy Mokrousov

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