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We present a systematic derivation of a minimal five-band tight-binding model for the description of the electronic structure of the recently discovered quasi one-dimensional superconductor K2Cr3As3. Taking as a reference the…

Electronic band structure is a cornerstone of condensed matter physics and materials science. Conventional methods like Wannier interpolation (WI), which are commonly used to interpolate band structures onto dense k-point grids, often…

Materials Science · Physics 2025-06-04 Kai Wu , Yingzhou Li , Wentiao Wu , Lin Lin , Wei Hu , Jinlong Yang

The central approximation made in classical molecular dynamics simulation of materials is the interatomic potential used to calculate the forces on the atoms. Great effort and ingenuity is required to construct viable functional forms and…

Computational Physics · Physics 2019-06-26 Mitchell A. Wood , Mary Alice Cusentino , Brian D. Wirth , Aidan P. Thompson

A general procedure for the optimization of atomic density-fitting basis functions is designed with the balance between accuracy and numerical stability in mind. Given one-electron wavefunctions and energies, weights are assigned to the…

Chemical Physics · Physics 2020-10-13 Dimitri N. Laikov

We introduce a scheme for constructing partly occupied, maximally localized Wannier functions (WFs) for both molecular and periodic systems. Compared to the traditional occupied WFs the partly occupied WFs posses improved symmetry and…

Materials Science · Physics 2009-11-10 K. S. Thygesen , L. B. Hansen , K. W. Jacobsen

The problem of construction of the Wannier functions (WFs) in a restricted Hilbert space of eigenstates of the one-electron Hamiltonian $\hat{H}$ (forming the so-called low-energy part of the spectrum) can be formulated in several different…

Strongly Correlated Electrons · Physics 2007-05-23 I. V. Solovyev , Z. V. Pchelkina , V. I. Anisimov

In pursuit of a minimal basis for systems with non-ideal bond angles, in this work we try to pinpoint the exact orientation of the major overlapping orbitals along the nearest neighbouring coordination segments in a given system such that…

Materials Science · Physics 2022-09-14 Joydev De , Sujith N S , Manoar Hossain , Joydeep Bhattacharjee

We propose a highly coarse-grained simulation model for crystalline polymer solids with crystalline lamellar structures. The mechanical properties of a crystalline polymer solid are mainly determined by the crystalline lamellar structures.…

Soft Condensed Matter · Physics 2025-01-13 Takashi Uneyama

One of the key aspects governing the mechanical performance of composite materials is debonding: the local separation of reinforcing constituents from matrix when the interfacial strength is exceeded. In this contribution, two strategies to…

Materials Science · Physics 2009-08-12 P. Gruber , J. Zeman , J. Kruis , M. Sejnoha

Many of the important phases observed in twisted transition metal dichalcogenide homobilayers are driven by short-range interactions, which should be captured by a local tight binding description since no Wannier obstruction exists for…

Strongly Correlated Electrons · Physics 2024-10-02 Valentin Crépel , Andrew Millis

Spatially localized one-electron orbitals, orthogonal and nonorthogonal, are widely used in electronic structure theory to describe chemical bonding and speed up calculations. In order to avoid linear dependencies of localized orbitals, the…

Chemical Physics · Physics 2020-03-04 Ziling Luo , Rustam Z. Khaliullin

The high computational cost of ab-initio methods limits their application in predicting electronic properties at the device scale. Therefore, an efficient method is needed to map the atomic structure to the electronic structure quickly.…

Materials Science · Physics 2025-09-09 Yunlong Wang , Zhixin Liang , Chi Ding , Junjie Wang , Zheyong Fan , Hui-Tian Wang , Dingyu Xing , Jian Sun

We present a general method of constructing maximally localized Wannier functions. It consists of three steps: (1) picking a localized trial wave function, (2) performing a full band projection, and (3) orthonormalizing with the Lowdin…

Other Condensed Matter · Physics 2017-01-11 Junbo Zhu , Zhu Chen , Biao Wu

The band structures describing non-interacting particles in one-dimensional superlattices of arbitrary periodicity are obtained by an analytical diagonalization of the Hamiltonian without adopting the popular tight-binding approximation.…

Strongly Correlated Electrons · Physics 2013-06-18 Olaf Krüger , Alejandro Saenz

Ab initio electronic structure calculations of two-dimensional layered structures are typically performed using codes that were developed for three-dimensional structures, which are periodic in all three directions. The introduction of a…

Strongly Correlated Electrons · Physics 2016-06-22 Paolo E. Trevisanutto , Giovanni Vignale

Motivated by new capabilities to realise artificial gauge fields in ultracold atomic systems, and by their potential to access correlated topological phases in lattice systems, we present a new strategy for designing topologically…

Quantum Gases · Physics 2012-11-22 N. R. Cooper , R. Moessner

We discuss a maximally localized Wannier function approach for constructing lattice models from first-principles electronic structure calculations, where the effective Coulomb interactions are calculated in the constrained…

Strongly Correlated Electrons · Physics 2009-11-13 Takashi Miyake , F. Aryasetiawan

We have used a density-functional-based tight-binding method in order to create structural models of the canonical chalcogenide glass, amorphous (a-)As$_2$S$_3$. The models range from one containing defects that are both chemical (homopolar…

Condensed Matter · Physics 2007-05-23 S. I. Simdyankin , S. R. Elliott , Z. Hajnal , T. A. Niehaus , Th. Frauenheim

Wannier functions that are maximally localized help in understanding many properties of crystalline materials. In the absence of topological obstructions, they are at least exponentially localized. In some cases such as flat-band…

Mesoscale and Nanoscale Physics · Physics 2021-07-30 Pratik Sathe , Fenner Harper , Rahul Roy

We develop an effective extended Hubbard model to describe the low-energy electronic properties of the twisted bilayer graphene. By using the Bloch states in the effective continuum model and with the aid of the maximally localized…

Mesoscale and Nanoscale Physics · Physics 2018-10-03 Mikito Koshino , Noah F. Q. Yuan , Takashi Koretsune , Masayuki Ochi , Kazuhiko Kuroki , Liang Fu