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We propose a fast and scalable algorithm to project a given density on a set of structured measures defined over a compact 2D domain. The measures can be discrete or supported on curves for instance. The proposed principle and algorithm are…

Numerical Analysis · Mathematics 2019-02-05 Frédéric de Gournay , Jonas Kahn , Léo Lebrat , Pierre Weiss

An approach to analyzing the spinor wave functions that appear in the electronic structure calculations when taking the spin-orbit interaction into account is developed. It is based on the projection analysis of angular parts of wave…

Materials Science · Physics 2024-01-05 A. I. Lebedev

Using Quantum Monte Carlo we compute thermodynamics and spectra for the orbitally degenerate Hubbard model in infinite spatial dimensions. With increasing orbital degeneracy we find in the one-particle spectra: broader Hubbard bands…

Strongly Correlated Electrons · Physics 2009-10-31 J. E. Han , M. Jarrell , D. L. Cox

The explicit semiclassical treatment of logarithmic perturbation theory for the bound-state problem within the framework of the radial Klein-Gordon equation with attractive real-analytic screened Coulomb potentials, contained time-component…

Quantum Physics · Physics 2007-05-23 I. V. Dobrovolska , R. S. Tutik

We review some aspects of the realistic implementation of the dynamical mean-field method. We extend the techniques introduced in Ref.[A. Georges, G. Kotliar, W. Krauth, and M.J. Rozenberg, Rev. Mod. Phys. 68, 13 (1996)] to include the…

Strongly Correlated Electrons · Physics 2007-05-23 V. S. Oudovenko , G. Palsson , K. Haule , S. Y. Savrasov , G. Kotliar

The increasing complexity of advanced materials with anisotropic thermal properties necessitates more generic and efficient methods to determine three-dimensional (3D) anisotropic thermal conductivity tensors with up to six independent…

Materials Science · Physics 2025-03-18 Dihui Wang , Heng Ban , Puqing Jiang

Topological insulators are characterized by insulating bulk states and robust metallic surface states. Band inversion is a hallmark of topological insulators: at time-reversal invariant points in the Brillouin zone, spin-orbit coupling…

Strongly Correlated Electrons · Physics 2024-12-20 Annette Lopez , Cody A. Melton , Jeonghwan Ahn , Brenda M. Rubenstein , Jaron T. Krogel

The third-rank tensor of the static spin Hall conductivity is investigated for two-dimensional (2D) topological insulators by electronic structure calculations. Its seeming quantization is numerically demonstrated for highly symmetric…

Mesoscale and Nanoscale Physics · Physics 2020-01-01 Filipe Matusalem , Lars Matthes , Jürgen Furthmüller , Marcelo Marques , Lara K. Teles , Friedhelm Bechstedt

We coherently manipulate spin correlations in a two-component atomic Fermi gas loaded into an optical lattice using spatially and time-resolved Ramsey spectroscopy combined with high-resolution \textit{in situ} imaging. This novel technique…

Quantum Gases · Physics 2018-05-09 N. Wurz , C. F. Chan , M. Gall , J. H. Drewes , E. Cocchi , L. A. Miller , D. Pertot , F. Brennecke , M. Köhl

In a recent paper we have suggested that the finite temperature density matrix can be computed efficiently by a combination of polynomial expansion and iterative inversion techniques. We present here significant improvements over this…

Materials Science · Physics 2010-10-19 Michele Ceriotti , Thomas D. Kühne , Michele Parrinello

This paper advocates for an innovative approach designed for estimating optoelectronic properties of quantum structures utilizing Tight-Binding (TB) theory. Predicated on the comparative analysis between estimated and actual properties, the…

Quantum Physics · Physics 2024-08-30 Ali Haji Ebrahim Zargar , Ali Amini , Ahmad Ayatollahi

Tight-binding models provide great insight and are a low-cost alternative to \emph{ab initio} methods for calculation of a material's electronic structure. These models are used to calculate optical responses, including nonlinear optical…

Materials Science · Physics 2025-09-29 Andreas Ghosh , Aaron M. Schankler , Andrew M. Rappe

The conductivity tensor is introduced for the low-dimensional electron systems. Within the particle-in-a-box model and the diagonal response approximation, components of the conductivity tensor for a quasi-homogeneous ultrathin metal film…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Valery P. Kurbatsky , Valentin V. Pogosov

A new method for locating analytically critical temperatures is discussed. It is exact for selfdual systems. When applied the two coupled layers of Ising spins it deviates from our preliminary Monte Carlo estimates by 1.5 standard…

High Energy Physics - Lattice · Physics 2009-10-22 Z. Burda , J. Wosiek

A method to analyze optical transitions is developed by combining the Kubo-Greenwood formula with the unfolding method to construct an unfolded electronic band structure with optical transition weights, which allows us to investigate how…

Materials Science · Physics 2020-08-31 Yung-Ting Lee , Chi-Cheng Lee , Masahiro Fukuda , Taisuke Ozaki

We present a nonlinear stabilized Lagrange-Galerkin scheme for the Oseen-type Peterlin viscoelastic model. Our scheme is a combination of the method of characteristics and Brezzi-Pitk\"aranta's stabilization method for the conforming linear…

Numerical Analysis · Mathematics 2021-07-22 Mária Lukáčová-Medvid'ová , Hana Mizerová , Hirofumi Notsu , Masahisa Tabata

The integration of gyroscope measurements is an essential task for most navigation systems. Modern vehicles typically use strapdown systems, such that gyro integration requires coning compensation to account for the sensor's rotation during…

Robotics · Computer Science 2026-03-06 John A. Christian , Michael R. Walker , Wyatt Bridgman , Michael J. Sparapany

An efficient order$-N$ real-space Kubo approach is developed for the calculation of the thermal conductivity of complex disordered materials. The method, which is based on the Chebyshev polynomial expansion of the time evolution operator…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 Wu Li , Haldun Sevincli , Stephan Roche , Gianaurelio Cuniberti

Steepest descent methods combining complex contour deformation with numerical quadrature provide an efficient and accurate approach for the evaluation of highly oscillatory integrals. However, unless the phase function governing the…

Numerical Analysis · Mathematics 2023-12-07 A. Gibbs , D. P. Hewett , D. Huybrechs

In this article we present an improved exact inversion formula for the 3D cone beam transform of vector fields. It is well known that only the solenoidal part of a vector field can be determined by the longitudinal ray transform of a vector…

Numerical Analysis · Mathematics 2016-03-10 Alexander Katsevich , Dimitri Rothermel , Thomas Schuster
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