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The past years have witnessed impressive advances in electronic structure calculation, especially in the complexity and size of the systems studied, as well as in computation time. Linear scaling methods based on empirical tight-binding…

Materials Science · Physics 2007-05-23 Abduxukur Abdurixit , Alexis Baratoff , Giulia Galli

We present PYATB, a Python package designed for computing band structures and related properties of materials using the ab initio tight-binding Hamiltonian. The Hamiltonian is directly obtained after conducting self-consistent calculations…

Materials Science · Physics 2023-08-09 Gan Jin , ongsheng Pang , Yuyang Ji , Zujian Dai , Lixin He

We introduce a refined tight-binding (TB) model for Pt-based jacutingaite materials Pt$_{2}N$X$_{3}$, ($N$ = Zn, Cd, Hg; X = S, Se, Te), offering a detailed representation of the low-energy physics of its monolayers. This model incorporates…

Materials Science · Physics 2024-10-11 G. Santos-Castro , L. K. Teles , I. Guilhon Mitoso , J. M. Pereira

We propose a systematic procedure for constructing effective lattice fermion models for narrow-band compounds on the basis of first-principles electronic structure calculations. The method is illustrated for the series of transition-metal…

Strongly Correlated Electrons · Physics 2009-11-11 I. V. Solovyev

We study electronic properties of solids with correlated d electrons which could be described by a multiband Hubbard Hamiltonian in the weak-interaction case, $U/w<1$. The one-electron part of the many-body Hamiltonian is described by a…

Strongly Correlated Electrons · Physics 2007-05-23 V. Drchal , V. Janis , J. Kudrnovsky

Band structure calculations for Ba_2Cu_3O_4Cl_2 within the local density approximation (LDA) are presented. The investigated compound is similar to the antiferromagnetic parent compounds of cuprate superconductors but contains additional…

Strongly Correlated Electrons · Physics 2009-10-30 H. Rosner , R. Hayn , J. Schulenburg

Using the newly developed VASP2WANNIER90 interface we have constructed maximally localized Wannier functions (MLWFs) for the e_g states of the prototypical Jahn-Teller magnetic perovskite LaMnO3 at different levels of approximation for the…

Strongly Correlated Electrons · Physics 2015-06-03 C. Franchini , R. Kovacik , M. Marsman , S. Sathyanarayana Murthy , J. He , C. Ederer , G. Kresse

A detailed Linear Combination of Atomic Orbitals (LCAO) tight-binding model is developed for the layered High-Temperature Superconductor cuprates. The band structure of these materials is described using a sigma-band Hamiltonian employing…

Superconductivity · Physics 2009-11-07 T. M. Mishonov , J. P. Wallington , E. S. Penev , J. O. Indekeu

Compared to first principles studies like DFT (physically accurate, computationally expensive), the TB approach allows the disentanglement of the region of interest, to wit the fermi level. This allows the creation of simplified, highly…

Materials Science · Physics 2025-01-14 Misbah Shaheen , Sheharyar Pervez

Ab-initio, self-consistent electronic energy bands of rutile TiO2 are reported within the local density functional approximation (LDA). Our first principle, non-relativistic and ground state calculations employed a local density functional…

Materials Science · Physics 2012-03-23 C. E. Ekuma , D. Bagayoko

We obtain parameters for non-orthogonal and orthogonal TB models from two-atomic molecules for all combinations of elements of period 1 to 6 and group 3 to 18 of the periodic table. The TB bond parameters for 1711 homoatomic and…

Materials Science · Physics 2021-02-17 Jan Jenke , Alvin N. Ladines , Thomas Hammerschmidt , David G. Pettifor , Ralf Drautz

A simple model based on the divide and conquer rule and tight-binding (TB) approximation is employed for studying the role of finite size effect on the electronic properties of elongated graphene nanoribbon (GNR) heterojunctions. In our…

Mesoscale and Nanoscale Physics · Physics 2015-08-07 Benjamin O. Tayo

Flat bands (FBs) in materials can enhance the correlation effects, resulting in exotic phenomena. Line graph (LG) lattices are well known for hosting FBs with isotropic hoppings in $s$-orbital models. Despite their prevalent application in…

Mesoscale and Nanoscale Physics · Physics 2026-03-24 Rui-Heng Liu , Xin Liu

We study a 4-orbital tight-binding (TB) model for ZrSiS from the square sublattice generated by the Si atoms. After studying three other alternatives, we endow such model with a new effective spin-orbit coupling (SOC) consistent with {\em…

Materials Science · Physics 2024-01-19 Gustavo S. Orozco-Galvan , Amador Garcia-Fuente , Salvador Barraza-Lopez

To analyze the electronic band structure of a two-dimensional (2D) crystal under a commensurate perpendicular magnetic field, tight-binding (TB) Hamiltonians are typically constructed using a magnetic unit cell (MUC), which is composed of…

Mesoscale and Nanoscale Physics · Physics 2024-10-17 Seungwon Jung

Using an $sp^{3}s^{*}$ tight-binding model we demonstrate how the observed strong bowing of the band gap and spin-orbit-splitting with increasing Bi composition in the dilute bismide alloy GaBi$_{x}$As$_{1-x}$ can be described in terms of a…

Materials Science · Physics 2018-11-08 Christopher A. Broderick , Muhammad Usman , Eoin P. O'Reilly

We show that the many-body features of graphene band structure and electronic response can be accurately evaluated by applying many-body perturbation theory to a tight-binding (TB) model. In particular, we compare TB results for the optical…

Atomic and Molecular Clusters · Physics 2025-06-10 Alberto Guandalini , Giovanni Caldarelli , Francesco Macheda , Francesco Mauri

We present a geometric construction of a lattice that emulates the action of a gauge field on a fermion. The construction consists of a square lattice made of polymeric sites, where all clustered atoms are identical and represented by…

Quantum Physics · Physics 2021-06-11 Y. Hernández-Espinosa , E. Sadurní

The electronic structure of the molecular compound (TTM-TTP)I_3, which exhibits a peculiar intra-molecular charge ordering, has been studied using multi-configuration ab initio calculations. First we derive an effective Hubbard-type model…

This work investigates the electronic properties of twisted bilayer graphene (TBG) through computational calculations, with the aim of understanding the emergence of flat bands and conditions favorable for superconductivity close to the…

Mesoscale and Nanoscale Physics · Physics 2026-01-21 Rajendra Paudel , Nabin Upadhya Dhakal , Nurapati Pantha