Computing Resonant Inelastic X-Ray Scattering Spectra Using The Density Matrix Renormalization Group Method

Nocera, Alberto; Kumar, Umesh; Kaushal, Nitin; Alvarez, Gonzalo; Dagotto, Elbio R.; Johnston, Steven

doi:10.1038/s41598-018-29218-8

Title: Computing Resonant Inelastic X-Ray Scattering Spectra Using The Density Matrix Renormalization Group Method

Abstract

We present a method for computing the resonant inelastic x-ray scattering (RIXS) spectra in one-dimensional systems using the density matrix renormalization group (DMRG) method. By using DMRG to address this problem, we shift the computational bottleneck from the memory requirements associated with exact diagonalization (ED) calculations to the computational time associated with the DMRG algorithm. This approach is then used to obtain RIXS spectra on cluster sizes well beyond state-of-the-art ED techniques. Using this new procedure, we compute the low-energy magnetic excitations observed in Cu L-edge RIXS for the challenging corner shared CuO4 chains, both for large multi-orbital clusters and downfolded t-J chains. We are able to directly compare results obtained from both models defined in clusters with identical momentum resolution. In the strong coupling limit, we find that the downfolded t-J model captures the main features of the magnetic excitations probed by RIXS only after a uniform scaling of the spectra is made.

Authors:

^[1]; Kumar, Umesh ^[2]; Kaushal, Nitin ^[2];

^[3]; Dagotto, Elbio R. ^[1];

^[2]

Univ. of Tennessee, Knoxville, TN (United States); Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
Univ. of Tennessee, Knoxville, TN (United States)
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)

Publication Date:: Mon Jul 23 00:00:00 EDT 2018

Research Org.:: Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States); Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center (NERSC)

Sponsoring Org.:: USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR); USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Materials Sciences & Engineering Division; Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Materials Sciences & Engineering Division

OSTI Identifier:: 1546551

Alternate Identifier(s):: OSTI ID: 1543780

Grant/Contract Number:: AC05-00OR22725

Resource Type:: Accepted Manuscript

Journal Name:: Scientific Reports

Additional Journal Information:: Journal Volume: 8; Journal Issue: 1; Journal ID: ISSN 2045-2322

Publisher:: Nature Publishing Group

Country of Publication:: United States

Language:: English

Subject:: 97 MATHEMATICS AND COMPUTING; Science & Technology - Other Topics

Citation Formats


                    Nocera, Alberto, Kumar, Umesh, Kaushal, Nitin, Alvarez, Gonzalo, Dagotto, Elbio R., and Johnston, Steven. Computing Resonant Inelastic X-Ray Scattering Spectra Using The Density Matrix Renormalization Group Method.  United States: N. p., 2018. 
Web.  doi:10.1038/s41598-018-29218-8.

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                    Nocera, Alberto, Kumar, Umesh, Kaushal, Nitin, Alvarez, Gonzalo, Dagotto, Elbio R., & Johnston, Steven. Computing Resonant Inelastic X-Ray Scattering Spectra Using The Density Matrix Renormalization Group Method.  United States.  https://doi.org/10.1038/s41598-018-29218-8

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                    Nocera, Alberto, Kumar, Umesh, Kaushal, Nitin, Alvarez, Gonzalo, Dagotto, Elbio R., and Johnston, Steven. Mon .  
"Computing Resonant Inelastic X-Ray Scattering Spectra Using The Density Matrix Renormalization Group Method".  United States.  https://doi.org/10.1038/s41598-018-29218-8.  https://www.osti.gov/servlets/purl/1546551.

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@article{osti_1546551,

  title        = {Computing Resonant Inelastic X-Ray Scattering Spectra Using The Density Matrix Renormalization Group Method},

  author       = {Nocera, Alberto and Kumar, Umesh and Kaushal, Nitin and Alvarez, Gonzalo and Dagotto, Elbio R. and Johnston, Steven},

  abstractNote = {We present a method for computing the resonant inelastic x-ray scattering (RIXS) spectra in one-dimensional systems using the density matrix renormalization group (DMRG) method. By using DMRG to address this problem, we shift the computational bottleneck from the memory requirements associated with exact diagonalization (ED) calculations to the computational time associated with the DMRG algorithm. This approach is then used to obtain RIXS spectra on cluster sizes well beyond state-of-the-art ED techniques. Using this new procedure, we compute the low-energy magnetic excitations observed in Cu L-edge RIXS for the challenging corner shared CuO4 chains, both for large multi-orbital clusters and downfolded t-J chains. We are able to directly compare results obtained from both models defined in clusters with identical momentum resolution. In the strong coupling limit, we find that the downfolded t-J model captures the main features of the magnetic excitations probed by RIXS only after a uniform scaling of the spectra is made.},

  doi          = {10.1038/s41598-018-29218-8},

  journal      = {Scientific Reports},

  number       = 1,

  volume       = 8,

  place        = {United States},

  year         = {Mon Jul 23 00:00:00 EDT 2018},

  month        = {Mon Jul 23 00:00:00 EDT 2018}

}

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Probing multi-spinon excitations outside of the two-spinon continuum in the antiferromagnetic spin chain cuprate Sr2CuO3
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Schlappa, J.; Kumar, U.; Zhou, K. J.
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Probing multi-spinon excitations outside of the two-spinon continuum in the antiferromagnetic spin chain cuprate Sr2CuO3
journal, December 2018

Schlappa, J.; Kumar, U.; Zhou, K. J.
Nature Communications, Vol. 9, Issue 1
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Detecting Crystallographic Lattice Chirality using Resonant Inelastic X-ray Scattering
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Mongan, Sean; Huang, Zengye; Datta, Trinanjan
Scientific Reports, Vol. 9, Issue 1
DOI: 10.1038/s41598-019-49157-2

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EDRIXS: An open source toolkit for simulating spectra of resonant inelastic x-ray scattering

Journal Article Wang, Y. L. ; Fabbris, G. ; Dean, Mark P. M. ; ... - Computer Physics Communications

Resonant inelastic x-ray scattering (RIXS) has become a very powerful experimental technique to probe a broad range of intrinsic elementary excitations, for example, from low energy phonons and (bi-)magnons to high energy d-d, charge-transfer and plasmon excitations in strongly correlated electronic systems. Due to the complexity of the RIXS cross-section and strong core-hole effects, theoretical simulation of the experimental RIXS spectra is still a difficult task which hampers the understanding of RIXS spectra and the development of the RIXS technique. In this work, we present an open source toolkit (dubbed EDRIXS) to facilitate the simulations of RIXS spectra of stronglymore »« less
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https://doi.org/10.1016/j.cpc.2019.04.018

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Symmetry-conserving purification of quantum states within the density matrix renormalization group

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The density matrix renormalization group (DMRG) algorithm was originally designed to efficiently compute the zero-temperature or ground-state properties of one-dimensional strongly correlated quantum systems. The development of the algorithm at finite temperature has been a topic of much interest, because of the usefulness of thermodynamics quantities in understanding the physics of condensed matter systems, and because of the increased complexity associated with efficiently computing temperature-dependent properties. The ancilla method is a DMRG technique that enables the computation of these thermodynamic quantities. In this paper, we review the ancilla method, and improve its performance by working on reduced Hilbert spaces andmore »« less
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Root-N Krylov-space correction vectors for spectral functions with the density matrix renormalization group

Journal Article Nocera, Alberto ; Alvarez, Gonzalo - Physical Review. B

In this work, we propose a method to compute spectral functions of generic Hamiltonians using the density matrix renormalization group (DMRG) algorithm directly in the frequency domain, based on a modified Krylov-space decomposition to compute the correction vectors. Our approach entails the calculation of the root-N (N=2 is the standard square root) of the Hamiltonian propagator using Krylov-space decomposition and repeating this procedure N times to obtain the actual correction vector. We show that our method greatly alleviates the burden of keeping a large bond dimension at large target frequencies, a problem found with conventional correction-vector DMRG, whereas achieving bettermore »« less
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Sliced-basis DMRG(sb-DMRG) is used to simulate a chain of hydrogen atoms and to construct low-energy effective Hubbard-like models. The downfolding procedure first involves a change of basis to a set of atom-centered Wannier functions constructed from the natural orbitals of the exact DMRG one-particle density matrix. The Wannier function model is then reduced to a fewer-parameter Hubbard-like model, whose parameters are determined by minimizing the expectation value of the Wannier Hamiltonian in the ground state of the Hubbard Hamiltonian. This indirect variational procedure not only yields compact and simple models for the hydrogen chain, but also allows us to exploremore »« less
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Ab initio density matrix renormalization group study of magnetic coupling in dinuclear iron and chromium complexes

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The applicability of ab initio multireference wavefunction-based methods to the study of magnetic complexes has been restricted by the quickly rising active-space requirements of oligonuclear systems and dinuclear complexes with S > 1 spin centers. Ab initio density matrix renormalization group (DMRG) methods built upon an efficient parameterization of the correlation network enable the use of much larger active spaces, and therefore may offer a way forward. Here, we apply DMRG-CASSCF to the dinuclear complexes [Fe{sub 2}OCl{sub 6}]{sup 2−} and [Cr{sub 2}O(NH{sub 3}){sub 10}]{sup 4+}. After developing the methodology through systematic basis set and DMRG M testing, we explore themore »« less
https://doi.org/10.1063/1.4863345

Similar Records

Title: Computing Resonant Inelastic X-Ray Scattering Spectra Using The Density Matrix Renormalization Group Method

Abstract

Citation Formats

Microscopic origin of spin-orbital separation in Sr 2 CuO 3 journal, November 2013

Studying Two Dimensional Systems With the Density Matrix Renormalization Group text, January 2011

Unraveling the Nature of Charge Excitations in La 2 CuO 4 with Momentum-Resolved Cu K -Edge Resonant Inelastic X-Ray Scattering journal, October 2010

Zhang-Rice singlet-state formation by oxygen 1 s resonant x-ray emission in edge-sharing copper-oxide systems journal, January 2001

Density-matrix renormalization group methods for momentum- and frequency-resolved dynamical correlation functions text, January 2008

Spin dynamics in the quantum antiferromagnetic chain compound KCuF 3 journal, December 1991

Spin–orbital separation in the quasi-one-dimensional Mott insulator Sr2CuO3 journal, April 2012

Dynamical density matrix renormalization group study of spin and charge excitations in the four-leg t − t ′ − J ladder journal, June 2018

Magnetic Susceptibility of Ideal Spin 1 / 2 Heisenberg Antiferromagnetic Chain Systems, Sr 2 CuO 3 and SrCuO 2 journal, April 1996

Superconductivity in the doped $t$-$J$ model: results for four-leg cylinders text, January 2018

Charge-orbital-lattice coupling effects in the d d excitation profile of one-dimensional cuprates journal, January 2014

Spectral functions with the density matrix renormalization group: Krylov-space approach for correction vectors journal, November 2016

The Impact of an Oxygen Dopant in an ideal Bi-2212 Crystal text, January 2008

Incident-energy-dependent spectral weight of resonant inelastic x-ray scattering in doped cuprates text, January 2016

Resonant inelastic x-ray scattering spectra for electrons in solids journal, February 2001

Density matrix formulation for quantum renormalization groups journal, November 1992

Effective Hamiltonian for the superconducting Cu oxides journal, March 1988

Density-matrix algorithm for the calculation of dynamical properties of low-dimensional systems journal, October 1995

Effect of covalent bonding on magnetism and the missing neutron intensity in copper oxide compounds journal, October 2009

Persistent spin excitations in doped antiferromagnets revealed by resonant inelastic light scattering journal, February 2014

Electron-lattice interactions strongly renormalize the charge-transfer energy in the spin-chain cuprate Li2CuO2 journal, February 2016

The Role of Lattice Coupling in Establishing Electronic and Magnetic Properties in Quasi-One-Dimensional Cuprates text, January 2013

Probing multi-spinon excitations outside of the two-spinon continuum in the antiferromagnetic spin chain cuprate Sr2CuO3 journal, December 2018

Stripe order in the underdoped region of the two-dimensional Hubbard model journal, November 2017

A resonant inelastic x-ray scattering study of the spin and charge excitations in the overdoped superconductor La1.77Sr0.23CuO4 text, January 2016

Spectral functions and time evolution from the Chebyshev recursion text, January 2015

Time-dependent density-matrix renormalization-group using adaptive effective Hilbert spaces journal, April 2004

Electron-lattice interactions strongly renormalize the charge-transfer energy in the spin-chain cuprate $Li_2CuO_2$ text, January 2016

Chebyshev matrix product state approach for spectral functions journal, May 2011

Superconductivity in the doped t − J model: Results for four-leg cylinders journal, October 2018

Singularities in Optical Spectra of Quantum Spin Chains journal, April 1996

Measurement of the spin-excitation continuum in one-dimensional KCuF 3 using neutron scattering journal, November 1995

Determining the Short-Range Spin Correlations in the Spin-Chain Li 2 CuO 2 and CuGeO 3 Compounds Using Resonant Inelastic X-Ray Scattering journal, February 2013

Spectral Function for the S=1 Heisenberg Antiferromagetic Chain text, January 2007

Persistent spin excitations in doped antiferromagnets revealed by resonant inelastic light scattering text, January 2013

Exact diagonalization results for resonant inelastic x-ray scattering spectra of one-dimensional Mott insulators text, January 2011

Reduction of Ordered Moment and Néel Temperature of Quasi-One-Dimensional Antiferromagnets Sr 2 CuO 3 and Ca 2 CuO 3 journal, March 1997

Microscopic origin of spin-orbital separation in Sr2CuO3 text, January 2013

Bimagnon studies in cuprates with resonant inelastic x-ray scattering at the O K edge. I. Assessment on La 2 CuO 4 and comparison with the excitation at Cu L 3 and Cu K edges journal, June 2012

Quantum criticality and universal scaling of a quantum antiferromagnet journal, March 2005

The Role of Lattice Coupling in Establishing Electronic and Magnetic Properties in Quasi-One-Dimensional Cuprates text, January 2013

Electron-lattice interactions strongly renormalize the charge transfer energy in the spin-chain cuprate Li$_2$CuO$_2$ text, January 2015

A common thread: The pairing interaction for unconventional superconductors journal, October 2012

Incident-energy-dependent spectral weight of resonant inelastic x-ray scattering in doped cuprates journal, August 2016

Exact diagonalization results for resonant inelastic x-ray scattering spectra of one-dimensional Mott insulators journal, February 2012

Studying Two-Dimensional Systems with the Density Matrix Renormalization Group journal, March 2012

Doping dependence of magnetic excitations of one-dimensional cuprates as probed by resonant inelastic x-ray scattering journal, June 2011

Multispinon Continua at Zero and Finite Temperature in a Near-Ideal Heisenberg Chain journal, September 2013

Hybrid-space density matrix renormalization group study of the doped two-dimensional Hubbard model journal, March 2017

Spectral function for the S = 1 Heisenberg antiferromagetic chain journal, April 2008

Density-matrix algorithms for quantum renormalization groups journal, October 1993

Resonant inelastic x-ray scattering studies of elementary excitations journal, June 2011

Real-Time Evolution Using the Density Matrix Renormalization Group journal, August 2004

Copper K and Oxygen K Resonant Inelastic X-ray Scattering of One-Dimensional Cuprates journal, April 2006

Cu $K$-edge Resonant Inelastic X-Ray Scattering in Edge-Sharing Cuprates text, January 2007

Real time evolution using the density matrix renormalization group text, January 2004

Enhanced charge excitations in electron-doped cuprates by resonant inelastic x-ray scattering journal, July 2015

Theory of high- T c superconductivity in oxides journal, June 1987

Multi-spinon and holon excitations probed by resonant inelastic x-ray scattering on doped one-dimensional antiferromagnets text, January 2018

Fractional spinon excitations in the quantum Heisenberg antiferromagnetic chain journal, June 2013

Density-matrix renormalization group methods for momentum- and frequency-resolved dynamical correlation functions text, January 2008

Cu K -edge resonant inelastic x-ray scattering in edge-sharing cuprates journal, March 2008

Enhanced charge excitations in electron-doped cuprates by resonant inelastic x-ray scattering text, January 2015

The density-matrix renormalization group in the age of matrix product states journal, January 2011

Intersite interactions in Cu L -edge XPS, XAS, and XES of doped and undoped Cu compounds journal, February 1994

Role of Lattice Coupling in Establishing Electronic and Magnetic Properties in Quasi-One-Dimensional Cuprates journal, June 2013

The density-matrix renormalization group in the age of matrix product states text, January 2010

Mott Gap Excitations and Resonant Inelastic X-Ray Scattering in Doped Cuprates journal, September 2003

Spectral functions and time evolution from the Chebyshev recursion text, January 2015

Ca 2 Y 2 Cu 5 O 10 : The First Frustrated Quasi-1D Ferromagnet Close to Criticality journal, September 2012

Multi-spinon and antiholon excitations probed by resonant inelastic x-ray scattering on doped one-dimensional antiferromagnets journal, July 2018

Hybrid-space density matrix renormalization group study of the doped two-dimensional Hubbard model text, January 2017

Lanczos algorithm with matrix product states for dynamical correlation functions journal, May 2012

Dynamical correlation functions using the density matrix renormalization group journal, July 1999

Reduction of ordered moment and Neel temperature of quasi one-dimensional antiferromagnets Sr2CuO3 and Ca2CuO3 text, January 1997

Dynamical density-matrix renormalization-group method journal, July 2002

Momentum Dependence of Charge Excitations in the Electron-Doped Superconductor Nd 1.85 Ce 0.15 CuO 4 : A Resonant Inelastic X-Ray Scattering Study journal, May 2005

Microscopic origin of spin-orbital separation in Sr $_{2}$ CuO $_{3}$
journal, November 2013

Studying Two Dimensional Systems With the Density Matrix Renormalization Group
text, January 2011

Unraveling the Nature of Charge Excitations in ${La}_{2} {CuO}_{4}$ with Momentum-Resolved Cu $K$ -Edge Resonant Inelastic X-Ray Scattering
journal, October 2010

Zhang-Rice singlet-state formation by oxygen $1 s$ resonant x-ray emission in edge-sharing copper-oxide systems
journal, January 2001

Density-matrix renormalization group methods for momentum- and frequency-resolved dynamical correlation functions
text, January 2008

Spin dynamics in the quantum antiferromagnetic chain compound ${KCuF}_{3}$
journal, December 1991

Spin–orbital separation in the quasi-one-dimensional Mott insulator Sr2CuO3
journal, April 2012

Dynamical density matrix renormalization group study of spin and charge excitations in the four-leg $t − t^{'} − J$ ladder
journal, June 2018

Magnetic Susceptibility of Ideal Spin 1 $/$ 2 Heisenberg Antiferromagnetic Chain Systems, ${Sr}_{2} {CuO}_{3}$ and ${SrCuO}_{2}$
journal, April 1996

Superconductivity in the doped $t$-$J$ model: results for four-leg cylinders
text, January 2018

Charge-orbital-lattice coupling effects in the $d d$ excitation profile of one-dimensional cuprates
journal, January 2014

Spectral functions with the density matrix renormalization group: Krylov-space approach for correction vectors
journal, November 2016

The Impact of an Oxygen Dopant in an ideal Bi-2212 Crystal
text, January 2008

Incident-energy-dependent spectral weight of resonant inelastic x-ray scattering in doped cuprates
text, January 2016

Resonant inelastic x-ray scattering spectra for electrons in solids
journal, February 2001

Density matrix formulation for quantum renormalization groups
journal, November 1992

Effective Hamiltonian for the superconducting Cu oxides
journal, March 1988

Density-matrix algorithm for the calculation of dynamical properties of low-dimensional systems
journal, October 1995

Effect of covalent bonding on magnetism and the missing neutron intensity in copper oxide compounds
journal, October 2009

Persistent spin excitations in doped antiferromagnets revealed by resonant inelastic light scattering
journal, February 2014

Electron-lattice interactions strongly renormalize the charge-transfer energy in the spin-chain cuprate Li2CuO2
journal, February 2016

The Role of Lattice Coupling in Establishing Electronic and Magnetic Properties in Quasi-One-Dimensional Cuprates
text, January 2013

Probing multi-spinon excitations outside of the two-spinon continuum in the antiferromagnetic spin chain cuprate Sr2CuO3
journal, December 2018

Stripe order in the underdoped region of the two-dimensional Hubbard model
journal, November 2017

A resonant inelastic x-ray scattering study of the spin and charge excitations in the overdoped superconductor La1.77Sr0.23CuO4
text, January 2016

Spectral functions and time evolution from the Chebyshev recursion
text, January 2015

Time-dependent density-matrix renormalization-group using adaptive effective Hilbert spaces
journal, April 2004

Electron-lattice interactions strongly renormalize the charge-transfer energy in the spin-chain cuprate $Li_2CuO_2$
text, January 2016

Chebyshev matrix product state approach for spectral functions
journal, May 2011

Superconductivity in the doped $t - J$ model: Results for four-leg cylinders
journal, October 2018

Singularities in Optical Spectra of Quantum Spin Chains
journal, April 1996

Measurement of the spin-excitation continuum in one-dimensional ${KCuF}_{3}$ using neutron scattering
journal, November 1995

Determining the Short-Range Spin Correlations in the Spin-Chain ${Li}_{2} {CuO}_{2}$ and ${CuGeO}_{3}$ Compounds Using Resonant Inelastic X-Ray Scattering
journal, February 2013

Spectral Function for the S=1 Heisenberg Antiferromagetic Chain
text, January 2007

Persistent spin excitations in doped antiferromagnets revealed by resonant inelastic light scattering
text, January 2013

Exact diagonalization results for resonant inelastic x-ray scattering spectra of one-dimensional Mott insulators
text, January 2011

Reduction of Ordered Moment and Néel Temperature of Quasi-One-Dimensional Antiferromagnets ${Sr}_{2} {CuO}_{3}$ and ${Ca}_{2} {CuO}_{3}$
journal, March 1997

Microscopic origin of spin-orbital separation in Sr2CuO3
text, January 2013

Bimagnon studies in cuprates with resonant inelastic x-ray scattering at the O $K$ edge. I. Assessment on La $_{2}$ CuO $_{4}$ and comparison with the excitation at Cu $L_{3}$ and Cu $K$ edges
journal, June 2012

Quantum criticality and universal scaling of a quantum antiferromagnet
journal, March 2005

The Role of Lattice Coupling in Establishing Electronic and Magnetic Properties in Quasi-One-Dimensional Cuprates
text, January 2013

Electron-lattice interactions strongly renormalize the charge transfer energy in the spin-chain cuprate Li$_2$CuO$_2$
text, January 2015

A common thread: The pairing interaction for unconventional superconductors
journal, October 2012

Incident-energy-dependent spectral weight of resonant inelastic x-ray scattering in doped cuprates
journal, August 2016

Exact diagonalization results for resonant inelastic x-ray scattering spectra of one-dimensional Mott insulators
journal, February 2012

Studying Two-Dimensional Systems with the Density Matrix Renormalization Group
journal, March 2012

Doping dependence of magnetic excitations of one-dimensional cuprates as probed by resonant inelastic x-ray scattering
journal, June 2011

Multispinon Continua at Zero and Finite Temperature in a Near-Ideal Heisenberg Chain
journal, September 2013

Hybrid-space density matrix renormalization group study of the doped two-dimensional Hubbard model
journal, March 2017

Spectral function for the $S = 1$ Heisenberg antiferromagetic chain
journal, April 2008

Density-matrix algorithms for quantum renormalization groups
journal, October 1993

Resonant inelastic x-ray scattering studies of elementary excitations
journal, June 2011

Real-Time Evolution Using the Density Matrix Renormalization Group
journal, August 2004

Copper K and Oxygen K Resonant Inelastic X-ray Scattering of One-Dimensional Cuprates
journal, April 2006

Cu $K$-edge Resonant Inelastic X-Ray Scattering in Edge-Sharing Cuprates
text, January 2007

Real time evolution using the density matrix renormalization group
text, January 2004

Enhanced charge excitations in electron-doped cuprates by resonant inelastic x-ray scattering
journal, July 2015

Theory of high- $T_{c}$ superconductivity in oxides
journal, June 1987

Multi-spinon and holon excitations probed by resonant inelastic x-ray scattering on doped one-dimensional antiferromagnets
text, January 2018

Fractional spinon excitations in the quantum Heisenberg antiferromagnetic chain
journal, June 2013

Density-matrix renormalization group methods for momentum- and frequency-resolved dynamical correlation functions
text, January 2008

Cu $K$ -edge resonant inelastic x-ray scattering in edge-sharing cuprates
journal, March 2008

Enhanced charge excitations in electron-doped cuprates by resonant inelastic x-ray scattering
text, January 2015

The density-matrix renormalization group in the age of matrix product states
journal, January 2011

Intersite interactions in Cu L -edge XPS, XAS, and XES of doped and undoped Cu compounds
journal, February 1994

Role of Lattice Coupling in Establishing Electronic and Magnetic Properties in Quasi-One-Dimensional Cuprates
journal, June 2013

The density-matrix renormalization group in the age of matrix product states
text, January 2010

Mott Gap Excitations and Resonant Inelastic X-Ray Scattering in Doped Cuprates
journal, September 2003

Spectral functions and time evolution from the Chebyshev recursion
text, January 2015

${Ca}_{2} Y_{2} {Cu}_{5} O_{10}$ : The First Frustrated Quasi-1D Ferromagnet Close to Criticality
journal, September 2012

Multi-spinon and antiholon excitations probed by resonant inelastic x-ray scattering on doped one-dimensional antiferromagnets
journal, July 2018

Hybrid-space density matrix renormalization group study of the doped two-dimensional Hubbard model
text, January 2017

Lanczos algorithm with matrix product states for dynamical correlation functions
journal, May 2012

Dynamical correlation functions using the density matrix renormalization group
journal, July 1999

Reduction of ordered moment and Neel temperature of quasi one-dimensional antiferromagnets Sr2CuO3 and Ca2CuO3
text, January 1997

Dynamical density-matrix renormalization-group method
journal, July 2002

Momentum Dependence of Charge Excitations in the Electron-Doped Superconductor ${Nd}_{1.85} {Ce}_{0.15} {CuO}_{4}$ : A Resonant Inelastic X-Ray Scattering Study
journal, May 2005

Impact of an oxygen dopant in Bi ₂ Sr ₂ CaCu ₂ O _8+δ
journal, May 2009

Spectral functions and time evolution from the Chebyshev recursion
journal, March 2015

Resonant inelastic x-ray scattering study of the spin and charge excitations in the overdoped superconductor ${La}_{1.77} {Sr}_{0.23} {CuO}_{4}$
journal, February 2016