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We describe a method for calculating the resonant inelastic X-ray scattering (RIXS) response---including the dynamics of the transient core hole---of many-body systems with non-trivial gap structure encoded in their single particle Green's…

Strongly Correlated Electrons · Physics 2017-10-11 Yifei Shi , Andrew James , Eugene Demler , Israel Klich

Dyson equation for the real two-time commutator retarded one-magnon Green function of the ferromagnetically polarized XX chain is suggested following the Plakida-Tserkovnikov algorithm. Starting from this result a low-temperature integral…

Strongly Correlated Electrons · Physics 2020-08-26 P. N. Bibikov

An accurate expression of the kinetic energy density of an electronic distribution in terms of the single particle reduced density matrix for atomic and molecular systems is a long-standing problem in electron structure theory. Existing…

Chemical Physics · Physics 2024-10-30 Priya , Mainak Sadhukhan

We introduce a computational scheme for calculating the electronic structure of random alloys that includes electronic correlations within the framework of the combined density functional and dynamical mean-field theory. By making use of…

Strongly Correlated Electrons · Physics 2018-12-26 A. Östlin , L. Vitos , L. Chioncel

The variational discrete element method developed in [28] for dynamic elasto-plastic computations is adapted to compute the deformation of elastic Cosserat materials. In addition to cellwise displacement degrees of freedom (dofs), cellwise…

Numerical Analysis · Mathematics 2022-02-18 Frédéric Marazzato

Thomson scattering spectra measure the response of plasma particles to incident radiation. In warm dense matter, which is opaque to visible light, x-ray Thomson scattering (XRTS) enables a detailed probe of the electron distribution and has…

Plasma Physics · Physics 2024-08-29 Thomas W. Hentschel , Alina Kononov , Andrew D. Baczewski , Stephanie B. Hansen

Critical systems have always intrigued physicists and precipitated the development of new techniques. Recently, there has been renewed interest in the information contained in their classical configurations, whose computation do not require…

Statistical Mechanics · Physics 2017-01-04 Ching Hua Lee , Dai Ozaki , Hiroaki Matsueda

We report extensive all-electron time-dependent density-functional calculations and nonresonant inelastic x-ray scattering measurements of the dynamical structure factor of 3d transition metals. For small wave vectors, a plasmon peak is…

The discrete Fourier transform is approximated by summing over part of the terms with corresponding weights. The approximation reduces significantly the requirement for computer memory storage and enhances the numerical computation…

Strongly Correlated Electrons · Physics 2015-03-19 Xin-Zhong Yan

Structure factors obtained from diffraction experiments are one of the most important quantities for characterizing the electronic and structural properties of materials. Methods for calculating this quantity from plane-wave density…

Materials Science · Physics 2022-09-27 Benjamin X. Shi , Rebecca J. Nicholls , Jonathan R. Yates

Introducing the fermionic R-operator and solutions of the inverse scattering problem for local fermion operators, we derive a multiple integral representation for zero-temperature correlation functions of a one-dimensional interacting…

Statistical Mechanics · Physics 2011-11-10 Kohei Motegi , Kazumitsu Sakai

Complex transition density can be constructed by a nuclear structure model with a complex basis and/or complex coefficient. In general, the complex transition density is converted to the real one with phase factor. In this study, we apply…

Nuclear Theory · Physics 2022-05-26 T. Furumoto

Excitons in a complex organic molecular crystal were studied by inelastic x-ray scattering (IXS) for the first time. The dynamic dielectric response function is measured over a large momentum transfer region, from which an exciton…

Other Condensed Matter · Physics 2007-05-23 K. Yang , L. P. Chen , Y. Q. Cai , N. Hiraoka , S. Li , J. F. Zhao , D. W. Shen , H. F. Song , H. Tian , L. H. Bai , Z. H. Chen , Z. G. Shuai , D. L. Feng

We present a computational study of $L$-edge resonant inelastic x-ray scattering (RIXS) in correlated 3$d$ transition-metal oxides using an $ab$ $initio$ method based on local density approximation + dynamical mean-field theory (DMFT). The…

Strongly Correlated Electrons · Physics 2020-03-25 Atsushi Hariki , Mathias Winder , Takayuki Uozumi , Jan Kuneš

We discuss an integral equation approach that enables fast computation of the response of nonlinear multi-degree-of-freedom mechanical systems under periodic and quasi-periodic external excitation. The kernel of this integral equation is a…

Dynamical Systems · Mathematics 2019-05-10 Shobhit Jain , Thomas Breunung , George Haller

Using a cell dynamic system (CDS) simulation scheme, we investigate the phase-ordering dynamics of non-conserved O(n) models without topological defects, i.e. for $n > d+1$ where $d$ is the spatial dimensionality. In particular, we consider…

Condensed Matter · Physics 2009-10-28 F. Rojas , A. J. Bray

An exact expression is derived for the kinetic contribution to the odd (arbitrary order) frequency moments of the dynamic structure factor via a finite summation that features averages of even (all lower orders) powers of the momentum over…

Quantum Gases · Physics 2025-08-26 Panagiotis Tolias , Tobias Dornheim , Jan Vorberger

We perform a spectral decomposition of the dynamical correlation function of the spin $1/2$ XXZ model into an infinite sum of products of form factors. Beneath the four-particle threshold in momentum space the only non-zero contributions to…

High Energy Physics - Theory · Physics 2009-09-25 Robert A. Weston , A. H. Bougourzi

The dynamical structure factor of the S=1/2 bond-alternating spin chain with a next-nearest-neighbor interaction in magnetic field is investigated using the continued fraction method based on the Lanczos algorithm. When the plateau exists…

Strongly Correlated Electrons · Physics 2009-10-31 Mamoru Usami , Sei-ichiro Suga

We present an ab initio theory of core- and valence resonant inelastic x-ray scattering (RIXS) based on a real-space multiple scattering Green's function formalism and a quasi-boson model Hamiltonian. Simplifying assumptions are made which…

Materials Science · Physics 2011-01-25 J. J. Kas , J. J. Rehr , J. A. Soininen , P. Glatzel