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Accurate description of deformed atomic nuclei by the orbital-free density functional theory has been a longstanding textbook challenge, due to the difficulty in accounting for the intricate quantum shell effects that are present in such…

Nuclear Theory · Physics 2024-12-31 X. H. Wu , Z. X. Ren , P. W. Zhao

Accurately calculating band gaps for given crystal structures is highly desirable. However, conventional first-principles calculations based on density functional theory (DFT) within the local density approximation (LDA) fail to predict…

Materials Science · Physics 2025-07-28 Shota Tankano , Takao Kotani , Masao Obata , Kazunori Sato , Harutaka Saito , Tatsuki Oda

The last decade has seen a large increase in the number of electronic-structure calculations that involve adding a Hubbard term to the local density approximation band-structure Hamiltonian. The Hubbard term is then solved either at the…

Strongly Correlated Electrons · Physics 2009-08-25 R. C. Albers , N. E. Christensen , A. Svane

We show that deep neural networks can be integrated into, or fully replace, the Kohn-Sham density functional theory scheme for multi-electron systems in simple harmonic oscillator and random external potentials with no feature engineering.…

Materials Science · Physics 2021-02-25 Kevin Ryczko , David Strubbe , Isaac Tamblyn

We compute the electronic band structure and optical properties of boron arsenide using the relativistic quasiparticle self-consistent $GW$ approach, including electron-hole interactions through solution of the Bethe-Salpeter equation. We…

Materials Science · Physics 2019-06-07 John Buckeridge , David O. Scanlon

The conductance of bulk metal--insulator--metal junctions is evaluated by the Landauer formula using an \textit{ab initio} electronic structure calculated using a plane-waves basis set within density-functional theory (DFT) and beyond,…

Mesoscale and Nanoscale Physics · Physics 2020-02-12 Alberto Dragoni , Benoît Sklénard , François Triozon , Valerio Olevano

A tight binding model is used to calculate the band structure of bilayer graphene in the presence of a potential difference between the layers that opens a gap $\Delta$ between the conduction and valence bands. In particular, a self…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Edward McCann

Electronic band structure (BS) and crystal structure are the two complementary identifiers of solid state materials. While convenient instruments and reconstruction algorithms have made large, empirical, crystal structure databases…

Peierls gap is analyzed in case of a two-dimensional lattice under the influence of a magnetic field, in a tight-binding approximation. By using a non-analytic class of potentials, such as the Kohmoto potential in the Harper model,…

Mesoscale and Nanoscale Physics · Physics 2009-06-19 O. Borchin

The fundamental energy gap of a periodic solid distinguishes insulators from metals and characterizes low-energy single-electron excitations. But the gap in the band-structure of the exact multiplicative Kohn-Sham (KS) potential…

We studied the band gap of {\beta}-PtO2 using first-principles calculations based on density functional theory (DFT). The results are obtained within the framework of generalized gradient approximation (GGA), GGA+U, GW and the hybrid…

Strongly Correlated Electrons · Physics 2012-03-08 Yong Yang , Osamu Sugino , Takahisa Ohno

Quantum dots with conduction electrons or holes originating from several bands are considered. We assume the particles are confined in a harmonic potential and assume the electrons (or holes) belonging to different bands to be different…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 K. Karkkainen M. Koskinen , S. M. Reimann , M. Manninen

We have studied the electronic structure of InN and GaN employing G0W0 calculations based on exact-exchange density-functional theory. For InN our approach predicts a gap of 0.7 eV. Taking the Burnstein-Moss effect into account, the…

Equilibrium crystal structures, electron band dispersions and band gap values of layered GaSe and InSe semiconductors, each being represented by four polytypes, are studied via first-principles calculations within the density functional…

Materials Science · Physics 2018-08-10 Juliana Srour , Michael Badawi , Fouad El Haj Hassan , Andrei Postnikov

First-principles calculations were performed to investigate the electronic structure of two-dimensional (2-D) Ge, Sn, and Pb without and with the presence of an external electric field in combination with spin-orbit coupling. Tight-binding…

We develop a method for calculating the fundamental electronic gap of semiconductors and insulators using grand canonical Quantum Monte Carlo simulations. We discuss the origin of the bias introduced by supercell calculations of finite size…

Materials Science · Physics 2020-02-12 Yubo Yang , Vitaly Gorelov , Carlo Pierleoni , David M. Ceperley , Markus Holzmann

We use many-body perturbation theory, the state-of-the-art method for band gap calculations, to compute the band offsets at the Si/SiO$_2$ interface. We examine the adequacy of the usual approximations in this context. We show that (i) the…

Materials Science · Physics 2009-01-06 R. Shaltaf , G. -M. Rignanese , X. Gonze , Feliciano Giustino , Alfredo Pasquarello

Density Functional Tight-Binding (DFTB), an approximative approach derived from Density Functional Theory (DFT), has the potential to pave the way for simulations of large periodic or non-periodic systems. We have specifically tailored DFTB…

The accurate prediction of electronic and optical properties in chalcopyrite semiconductors has been a persistent challenge for density functional theory (DFT) based approaches. Addressing this issue, we demonstrate that very accurate…

Materials Science · Physics 2024-01-31 Arghya Ghosh , Subrata Jana , Dimple Rani , Manoar Hossain , Manish K Niranjan , Prasanjit Samal

This study examines the optimal selections of bandwidth and semi-metric for a functional partial linear model. Our proposed method begins by estimating the unknown error density using a kernel density estimator of residuals, where the…

Methodology · Statistics 2020-11-17 Han Lin Shang