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The presence of many degenerate $d/f$ orbitals makes polynuclear transition metal compounds such as iron-sulfur clusters in nitrogenase challenging for state-of-the-art quantum chemistry methods. To address this challenge, we present the…

Chemical Physics · Physics 2023-12-22 Chunyang Xiang , Weile Jia , Wei-Hai Fang , Zhendong Li

We demonstrate how to parallelize the density matrix renormalization group (DMRG) algorithm in real space through a straightforward modification of serial DMRG. This makes it possible to apply at least an order of magnitude more…

Strongly Correlated Electrons · Physics 2013-04-25 E. M. Stoudenmire , Steven R. White

We analyze the resonant inelastic x-ray scattering (RIXS) spectra at the Cu and Ni K edges in La2CuO4 and La2NiO4, respectively. We make use of the Keldysh-Green-function formalism, in which the RIXS intensity is described by a product of…

Strongly Correlated Electrons · Physics 2009-11-13 Manabu Takahashi , Junichi Igarashi , Taeko Semba

A new method is presented for describing vibrational effects in x-ray absorption spectroscopy (XAS) and resonant inelastic x-ray scattering (RIXS) using a combination of the classical Franck-Condon (FC) approximation and classical…

Materials Science · Physics 2017-12-20 Mathias P. Ljungberg

We derive general expressions for resonant inelastic x-ray scattering (RIXS) operators for $t_{2g}$ orbital systems, which exhibit a rich array of unconventional magnetism arising from unquenched orbital moments. Within the fast collision…

Strongly Correlated Electrons · Physics 2017-08-16 B. J. Kim , Giniyat Khaliullin

The resonant inelastic x-ray scattering (RIXS) was measured in an insulating SrCuO$_{2}$ with changing the incident photon energy ($h\nu$) near the Cu $1s$ absorption edge (K-edge). Complex structures and their dependences on the momentum…

We report on the Cu 1s resonant inelastic X-ray scattering (RIXS) of Cu-O one-dimensional (1D) strongly correlated insulator systems with contrasting atomic arrangements, namely edge-sharing CuGeO3 and corner-sharing Sr2CuO3. Owing to good…

Strongly Correlated Electrons · Physics 2009-11-11 S. Suga , S. Imada , A. Higashiya , A. Shigemoto , S. Kasai , M. Sing , H. Fujiwara , A. Sekiyama , A. Yamasaki , C. Kim , T. Nomura , J. Igarashi , M. Yabashi , T. Ishikawa

We theoretically derive and validate with large scale simulations a remarkably accurate power law scaling of errors for the restricted active space density matrix renormalization group (DMRG-RAS) method [arXiv:2111.06665] in electronic…

Chemical Physics · Physics 2023-04-04 Gero Friesecke , Gergely Barcza , Örs Legeza

The density matrix renormalization group (DMRG) method has already proved itself as a very efficient and accurate computational method, which can treat large active spaces and capture the major part of strong correlation. Its application on…

Chemical Physics · Physics 2022-10-31 Pavel Beran , Katarzyna Pernal , Fabijan Pavosevic , Libor Veis

The density matrix renormalization group (DMRG) is a powerful numerical technique to solve strongly correlated quantum systems: it deals well with systems which are not dominated by a single configuration (unlike Coupled Cluster) and it…

Chemical Physics · Physics 2025-12-16 Martina Nibbi , Luca Frediani , Evgueni Dinvay , Christian B. Mendl

Many nuclear safety applications need fast, portable, and accurate imagers to better locate radiation sources. The Rotating Scatter Mask (RSM) system is an emerging device with the potential to meet these needs. The main challenge is the…

Signal Processing · Electrical Eng. & Systems 2023-08-01 Yilun Zhu , Clayton Scott , Darren Holland , George Landon , Aaron Fjeldsted , Azaree Lintereur

This review aims to introduce the x-ray emission spectroscopy (XES) and resonant inelastic x-ray scattering (RIXS) techniques to the materials scientist working with magnetic semiconductors (e.g. semiconductors doped with 3d transition…

Materials Science · Physics 2014-01-20 Mauro Rovezzi , Pieter Glatzel

Young's archetypal double-slit experiment forms the basis for modern diffraction techniques: the elastic scattering of waves yields an interference pattern that captures the real-space structure. Here, we report on an inelastic incarnation…

The density matrix renormalization group (DMRG) is a numerical method that optimizes a variational state expressed by a tensor product. We show that the ground state is not fully optimized as far as we use the standard finite system…

Statistical Mechanics · Physics 2010-05-20 H. Takasaki , T. Hikihara , T. Nishino

The Density Matrix Renormalization Group (DMRG) is a state-of-the-art numerical technique for a one dimensional quantum many-body system; but calculating accurate results for a system with Periodic Boundary Condition (PBC) from the…

Strongly Correlated Electrons · Physics 2016-11-29 Dayasindhu Dey , Debasmita Maiti , Manoranjan Kumar

Despite significant progress in resonant inelastic x-ray scattering (RIXS) experiments on cuprates at the Cu L-edge, a theoretical understanding of the cross-section remains incomplete in terms of elementary excitations and the connection…

Strongly Correlated Electrons · Physics 2016-05-16 Chunjing Jia , Krzysztof Wohlfeld , Yao Wang , Brian Moritz , Thomas P. Devereaux

Wilson's Numerical Renormalization Group (NRG) is so far the only nonperturbative technique that can reliably access low-energy properties of quantum impurity systems. We present a recent extension of the method, the DM-NRG, which yields…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Walter Hofstetter

We develop a theory of resonant inelastic x-ray scattering (RIXS) at the $K$ edge in La$_2$CuO$_4$ on the basis of the Keldysh Green's function formalism. In our previous analysis (Phys. Rev. B 71, 035110 (2005)), the scattering by the…

Strongly Correlated Electrons · Physics 2015-06-25 Jun-ichi Igarashi , Takuji Nomura , Manabu Takahashi

A quantitative criterion to prove and analyze convergence within the numerical renormalization group (NRG) is introduced. By tracing out a few further NRG shells, the resulting reduced density matrices carry relevant information on…

Strongly Correlated Electrons · Physics 2015-03-19 Andreas Weichselbaum

We analyze within quasi-particle theory a recent resonant inelastic x-ray scattering (RIXS) experiment on $\mathrm{YBa_2Cu_3O_{6+x}}$ with the incoming photon energy detuned at several values from the resonance maximum [Minola et al., Phys.…

Materials Science · Physics 2016-12-13 Márton Kanász-Nagy , Yifei Shi , Israel Klich , Eugene A. Demler