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We study theoretically resonant inelastic x-ray scattering (RIXS) at the Cu $L_3$-edge in a typical parent compound of high-$T_c$ cuprate superconductors La$_2$CuO$_4$ on the basis of a detailed electronic band structure. We construct a…

Strongly Correlated Electrons · Physics 2015-08-20 Takuji Nomura

Several density-matrix renormalization group methods have been proposed to compute the momentum- and frequency-resolved dynamical correlation functions of low-dimensional strongly correlated systems. The most relevant approaches are…

Strongly Correlated Electrons · Physics 2009-01-28 Eric Jeckelmann

In this paper we propose a novel method to study critical systems numerically by a combined collective-mode algorithm and Renormalization Group on the lattice. This method is an improved version of MCRG in the sense that it has all the…

Statistical Mechanics · Physics 2009-12-03 G. Palma , D. Zambrano

We study the magnetic excitation spectra of L-edge resonant inelastic x-ray scattering (RIXS) from the spin singlet ground state in one-dimensional undoped cuprates. Analyzing the transition amplitudes of the magnetic excitations in the…

Strongly Correlated Electrons · Physics 2013-05-30 Jun-ichi Igarashi , Tatsuya Nagao

We describe a new method for imaging ultrafast dynamics in condensed matter using inelastic x-ray scattering (IXS). We use the concepts of causality and irreversibility to construct a general solution to the inverse scattering problem (or…

Other Condensed Matter · Physics 2009-06-12 P. Abbamonte , G. C. L. Wong , D. Cahill , J. P. Reed , R. H. Coridan , N. W. Schmidt , G. H. Lai , Y. I. Joe , D. Casa

Resonant inelastic x-ray spectroscopy (RIXS) has emerged as an important tool to explore magnetism in two-dimensional (2D) antiferromagnet realized in strongly correlated materials. Here we consider the Heisenberg model with nearest and…

Strongly Correlated Electrons · Physics 2023-12-12 Subhajyoti Pal , Umesh Kumar , Prabhakar , Anamitra Mukherjee

The density matrix renormalization group (DMRG) has been extended to study quantum phase transitions on random graphs of fixed connectivity. As a relevant example, we have analysed the random Ising model in a transverse field. If the…

Disordered Systems and Neural Networks · Physics 2009-11-11 Javier Rodriguez-Laguna

A new application of the density matrix renormalization group (DMRG) method to a system composed of an interacting dot coupled to a infinite one dimensional lead is presented. This method enables one to study the influence of the coupling…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Richard Berkovits

Resonant inelastic x-ray scattering (RIXS) is a well-established tool for studying electronic, nuclear and collective dynamics of excited atoms, molecules and solids. An extension of this powerful method to a time-resolved probe technique…

Chemical Physics · Physics 2015-11-03 Victor Kimberg , Nina Rohringer

A momentum-space approach of the density-matrix renormalization-group (DMRG) method is developed. Ground state energies of the Hubbard model are evaluated using this method and compared with exact diagonalization as well as quantum…

Condensed Matter · Physics 2009-10-28 T. Xiang

By following the conventional similarity renormalization group (SRG) expansion of the Dirac equation developed in [J.-Y. Guo, Phys. Rev. C \textbf{85}, 021302 (2012)], we work out the analytic expression of the ${1}/{M^4}$ order and verify…

Nuclear Theory · Physics 2019-05-23 Yixin Guo , Haozhao Liang

We propose a new approach to implement the density matrix renormalization group (DMRG) in two dimensions. With this approach the initial blocks of a L by L lattice are built up directly from the matrix elements of a (L-1) by L-1) lattice…

Strongly Correlated Electrons · Physics 2009-11-07 Tao Xiang , Jizhong Lou , Zhaobin Su

While new light sources allow for unprecedented resolution in experiments with X-rays, a theoretical understanding of the scattering cross-section is lacking. In the particular case of strongly correlated electron systems, numerical…

Strongly Correlated Electrons · Physics 2023-05-29 Krissia Zawadzki , Alberto Nocera , Adrian E. Feiguin

We have devised and implemented a local ab initio Density Matrix Renormalization Group (DMRG) algorithm to describe multireference nondynamic correlations in large systems. For long molecules that are extended in one of their spatial…

Strongly Correlated Electrons · Physics 2009-11-11 Johannes Hachmann , Wim Cardoen , Garnet Kin-Lic Chan

Resonant inelastic x-ray scattering (RIXS) tuned for the Cu L edge is a possible tool to detect charge excitations in cuprate superconductors. We theoretically investigate the possibility for observing a collective charge excitation by the…

Strongly Correlated Electrons · Physics 2015-08-03 Takami Tohyama , Kenji Tsutsui , Michiyasu Mori , Shigetoshi Sota , Seiji Yunoki

We propose a new fast numerical renormalization group method,the corner transfer matrix renormalization group (CTMRG) method, which is based on a unified scheme of Baxter's corner transfer matrix method and White's density matrix…

Condensed Matter · Physics 2009-10-28 T. Nishino , K. Okunishi

We study the application of the density matrix renormalization group (DMRG) to systems with one-dimensional acoustic phonons. We show how the use of a local oscillator basis circumvents the difficulties with the long-range interactions…

Strongly Correlated Electrons · Physics 2009-10-30 L. G. Caron , S. Moukouri

Inelastic x-ray scattering (IXS) now a widely used technique for studying the dynamics of electrons in condensed matter. We previously posed a solution to the phase problem for IXS [P. Abbamonte, et. al., Phys. Rev. Lett. {\bf 92}, 237401…

Strongly Correlated Electrons · Physics 2013-05-29 P. Abbamonte , J. P. Reed , Y. I. Joe , Yu Gan , D. Casa

We explore the general phenomenology of resonant inelastic scattering (RIXS) using CuB2O4, a network of CuO4 plaquettes electronically isolated by B+3 ions. Spectra show a small number of well-separated features, and we exploit the simple…

Strongly Correlated Electrons · Physics 2013-05-29 J. N. Hancock , G. Chabot-Couture , Y. Li , G. Petrakovskii , K. Ishii , I. Jarrige , J. Mizuki , T. P. Devereaux , M. Greven

In the last decade, the quantum chemical version of the density matrix renormalization group (DMRG) method has established itself as the method of choice for calculations of strongly correlated molecular systems. Despite its favourable…

Chemical Physics · Physics 2016-11-15 Libor Veis , Andrej Antalík , Jiří Brabec , Frank Neese , Örs Legeza , Jiří Pittner