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Density function theory is the workhorse of modern electronic structure theory. However, its accuracy in practical calculations is limited by the choice of the exchange-correlation potential. In this respect, two-dimensional materials pose…

Materials Science · Physics 2026-04-29 Michael Lorke

In this paper, one considers the coupling of a Brinkman model and Stokes equations with jump embedded transmission conditions. In this model, one assumes that the viscosity in the porous region is very small. Then we derive a…

Analysis of PDEs · Mathematics 2022-06-03 Philippe Angot , Gilles Carbou , Victor Péron

We develop a theory for manipulating the effective band structure of interacting helical edge states realized on the boundary of two-dimensional time-reversal symmetric topological insulators. For sufficiently strong interaction, an…

Strongly Correlated Electrons · Physics 2021-11-24 Yang-Zhi Chou , Jennifer Cano , J. H. Pixley

Reconstructing a radial (1D) quantum potential, V(r), from a few bound-state energies is a long-standing inverse problem because limited spectral data must constrain an entire potential. We present a Laplace-moment reconstruction pipeline…

Spectral Theory · Mathematics 2026-05-13 M. Gage Plott , F. Ayça Çetinkaya , Rick Mukherjee

The evolution of the electronic structure of BiTeI, a layered semiconductor with a van der Waals gap, under compression is studied by employing semilocal and dispersion-corrected density-functional calculations. Comparative analysis of the…

Materials Science · Physics 2016-10-14 Sümeyra Güler-Kılıç , Çetin Kılıç

The spectral functions of the one-band half-filled 1D Hubbard chain are calculated using the exchange-correlation potential formalism developed recently. The exchange-correlation potential is adopted from the exact potential derived from…

Strongly Correlated Electrons · Physics 2022-08-31 F. Aryasetiawan , T. Sjöstrand

We have constructed an asymmetric matter-wave beam splitter and a ring potential on an atom chip with Bose-Einstein condensates using radio-frequency dressing. By applying rf-field parallel to the quantization axis in the vicinity of the…

Atomic Physics · Physics 2016-03-09 S. J. Kim , H. Yu , S. T. Gang , D. Anderson , J. B. Kim

We report on optical properties of various polymorphs of hafnia predicted within the framework of density functional theory. The full potential linearised augmented plane wave method was employed together with the Tran-Blaha modified…

Materials Science · Physics 2016-09-21 Pavel Ondračka , David Holec , David Nečas , Lenka Zajíčková

The topological mechanics is a perfect tool that can bridge the gap between the quantum and Newtonian physics and mechanics of materials. It requires discrete models of the material with analogies with the topological characteristics of…

Applied Physics · Physics 2020-06-02 Mohamed Shaat

We investigate numerically the zero-temperature physics of the one-dimensional Bose-Hubbard model in an incommensurate cosine potential, recently realized in experiments with cold bosons in optical superlattices L. Fallani et al., Phys.…

Disordered Systems and Neural Networks · Physics 2010-03-23 Tommaso Roscilde

For materials of varying band gap, we compare energy levels of atomically localized defects calculated within a semilocal and a hybrid density-functional scheme. Since the latter scheme partially relieves the band gap problem, our study…

Materials Science · Physics 2008-07-30 Audrius Alkauskas , Peter Broqvist , Alfredo Pasquarello

Interest in substitutional disordered alloys has recently reemerged with focus on the symmetry-sensitive properties in the alloy such as topological insulation and Rashba effect. A substitutional random alloy manifests a distribution of…

Materials Science · Physics 2019-04-30 Zhi Wang , Jun-Wei Luo , Alex Zunger

We use temperature-dependent resistivity in small-angle twisted double bilayer graphene to measure bandwidths and gaps of the bands. This electron-hole asymmetric system has one set of non-dispersing bands that splits into two flat bands…

To extend the applicability of density functional theory for superconductors (SCDFT) to systems with significant particle-hole asymmetry, we construct a new exchange-correlation kernel entering the gap equation. We show that the kernel is…

Superconductivity · Physics 2013-07-22 Ryosuke Akashi , Ryotaro Arita

We propose a generalized gradient approximation (GGA) for the angle- and system-averaged exchange-correlation hole of a many-electron system. This hole, which satisfies known exact constraints, recovers the PBEsol (Perdew-Burke-Ernzerhof…

Materials Science · Physics 2009-11-13 Lucian A. Constantin , John P. Perdew , J. M. Pitarke

The properties of the Kohn-Sham (KS) exchange potential for open systems in thermodynamical equilibrium, where the number of particles is non-conserved, are analyzed with the Optimized Effective Potential (OEP) method of Density Functional…

Other Condensed Matter · Physics 2015-06-25 S. Rigamonti , C. R. Proetto , F. A. Reboredo

Transition-metal-based Heusler semiconductors are promising materials for a variety of applications ranging from spintronics to thermoelectricity. Employing the $GW$ approximation within the framework of the FLAPW method, we study the…

Materials Science · Physics 2016-06-01 M. Tas , E. Sasioglu , I. Galanakis , C. Friedrich , S. Blugel

Band structure determines the motion of electrons in a solid, giving rise to exotic phenomena when properly engineered. Drawing an analogy between electrons and photons, artificially designed optical lattices indicate the possibility of a…

Mesoscale and Nanoscale Physics · Physics 2019-11-01 Siqi Wang , Xianqing Lin , Mervin Zhao , Changjian Zhang , Sui Yang , Yuan Wang , Kenji Watanabe , Takashi Taniguchi , James Hone , David Tomanek , Xiang Zhang

The Kohn-Sham orbital kinetic energy density $\tau_\sigma(\vec{r}) = \sum_{i} w_{i\sigma} \big|\nabla \psi_{i\sigma}(\vec{r}) \big|^2$ is one fundamental quantity for constructing meta-generalized gradient approximations (meta-GGA) for use…

Materials Science · Physics 2015-06-23 Lin-Hui Ye

In the framework of the band theory, we consider two tight-binding models of insulators. The first one, proposed recently by Taraskin et al, is a translationally invariant system, built out of two independent non-overlapping bands of…

Statistical Mechanics · Physics 2007-05-23 Janusz Jedrzejewski , Taras Krokhmalskii
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