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In this work we investigate the X-ray edge singularity problem realized in noninteracting quantum dots. We analytically calculate the exponent of the singularity in the absorption spectrum near the threshold and extend known analytical…

Mesoscale and Nanoscale Physics · Physics 2012-07-10 Markus Heyl , Stefan Kehrein

We delineate an ab initio approach for obtaining x-ray absorption spectra as provided by many-body perturbation theory, together with its realization within an all-electron framework. Employing the Bethe-Salpeter equation, we address…

Materials Science · Physics 2017-09-08 Claudia Draxl , Caterina Cocchi

X-ray absorption spectra calculated within an effective one-electron approach have to be broadened to account for the finite lifetime of the core hole. For Green's function based methods this can be achieved either by adding a small…

Materials Science · Physics 2018-02-28 Ondrej Sipr , Jiri Vackar , Jan Minar

Electron densities at the edge site in one-dimensional Hubbard model and t-J model are studied by using the Bethe ansatz solutions and exact diagonalization method. It is found that the boundary is electron-attractive, or equivalently…

Strongly Correlated Electrons · Physics 2007-05-23 Hiroki Tsuchiura , Masao Ogata , Yukio Tanaka , Satoshi Kashiwaya

A recent article suggested that the saturation of low energy spectral weight observed by X-ray absorption spectroscopy in the cuprates at high hole doping could be explained within the single-band Hubbard model. We show that this result is…

Superconductivity · Physics 2015-03-14 D. C. Peets , D. G. Hawthorn , K. M. Shen , G. A. Sawatzky , Ruixing Liang , D. A. Bonn , W. N. Hardy

While highly successful, density functional theory is known to have limitations owing to its neglect of many-body electron-electron interactions. This neglect leads to errors in the single-particle energies, leading to underestimated band…

Materials Science · Physics 2026-04-16 John Vinson , Terrence Jach , Rainer Unterumsberger , Michael A. Woodcox , Burkhard Beckhoff

We discuss the problem of the X-ray absorption in a system of interacting fermions and, in particular, those features in the X-ray spectra that can be used to discriminate between conventional Fermi-liquids and novel "strange metals".…

Condensed Matter · Physics 2016-08-31 D. V. Khveshchenko , P. W. Anderson

We study integrable boundary conditions for the supersymmetric t-J model of correlated electrons which arise when combining static scattering potentials with dynamical impurities carrying an internal degree of freedom. The latter differ…

Condensed Matter · Physics 2009-10-31 Gerald Bedürftig , Holger Frahm

Single-particle methods based on Kohn-Sham unoccupied states to describe near-edge X-ray absorption (XAS) spectra are routinely applied for the description of K-edge spectra, as there is no complication due to spin-orbit (SO) coupling. L-…

Materials Science · Physics 2026-02-26 Esther A. B. Johnsen , Naoki Horiuchi , Toma Susi , Michael Walter

We present a new theoretical approach to describe X-Ray absorption and Magnetic Circular Dichroism spectra in the presence of e-e correlation. Our approach provides an unified picture to include correlations in both charged and neutral…

Materials Science · Physics 2015-05-20 L. Pardini , V. Bellini , F. Manghi

We use the Bethe Ansatz solution for the one dimensional Hubbard model with open boundary conditions and applied boundary fields to study the spectrum of bound states at the boundary. Depending on the strength of the boundary potentials one…

Condensed Matter · Physics 2009-10-30 Gerald Bedürftig , Holger Frahm

We present an ab initio description of optical and shallow-core x-ray absorption spectroscopies in a unified formalism based on the pseudopotential plane-wave method at the level of the Bethe-Salpeter equation (BSE) within Green's functions…

Materials Science · Physics 2023-06-07 M. Laura Urquiza , Matteo Gatti , Francesco Sottile

We study the core hole-electron correlation in coherently coupled molecules by energy dispersive near edge X-ray absorption fine-structure spectroscopy. In a transient phase, which exists during the transition between two bulk arrangements,…

Materials Science · Physics 2013-12-03 M. Scholz , F. Holch , C. Sauer , M. Wiessner , A. Schöll , F. Reinert

The absorption and emission spectra of transitions between a localized level and a two-dimensional electron gas, subjected to a weak magnetic field, are calculated analytically. Adopting the Landau level bosonization technique developed in…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 H. Westfahl , A. O. Caldeira , D. Baeriswyl , E. Miranda

A Hubbard-like model with SU(4) symmetry for electrons with two-fold orbital degeneracy is studied extensively. Exact solution in one dimension is derived by means of Bethe ansatz, where the sites are supposed to be occupied by at most two…

Strongly Correlated Electrons · Physics 2009-10-31 You-Quan Li , Shi-Jian Gu , Zu-JianYing , Ulrich Eckern

The boundary conformal field theory approach to quantum impurity problems is used to study the Fermi edge singularity, occuring in the X-ray adsorption probablility. The deep-hole creation operator, in the effective low-energy theory,…

Condensed Matter · Physics 2009-10-22 Ian Affleck , Andreas W. W. Ludwig

The photon-absorption edge in a weakly interacting one-dimensional electron gas is studied, treating backscattering of conduction electrons from the core hole exactly. Close to threshold, there is a power-law singularity in the absorption,…

Condensed Matter · Physics 2009-10-22 C. L. Kane , K. A. Matveev , L. I. Glazman

We calculate the exponents of the threshold singularities in the photoemission spectrum of a deep core hole and its X-ray absorption spectrum in the framework of a systematic many-body theory of slave bosons and pseudofermions (for the…

Strongly Correlated Electrons · Physics 2009-10-31 Thomas Schauerte , Johann Kroha , Peter Wölfle

A general graded reflection equation algebra is proposed and the corresponding boundary quantum inverse scattering method is formulated. The formalism is applicable to all boundary lattice systems where an invertible R-matrix exists. As an…

Strongly Correlated Electrons · Physics 2009-10-30 Anthony J. Bracken , Xiang-Yu Ge , Yao-Zhong Zhang , Huan-Qiang Zhou

We study Fermi edge singularities in photo-absorption spectra of generic mesoscopic systems such as quantum dots or nanoparticles. We predict deviations from macroscopic-metallic behavior and propose experimental setups for the observation…

Mesoscale and Nanoscale Physics · Physics 2009-08-12 M. Hentschel , D. Ullmo , H. U. Baranger
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