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

A Nocera1,2, U Kumar3,4, N Kaushal3

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We developed a new computational method using density matrix renormalization group (DMRG) to calculate resonant inelastic x-ray scattering (RIXS) spectra. This approach enables the study of magnetic excitations in complex materials beyond current limitations.

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Area of Science:

  • Condensed Matter Physics
  • Computational Physics

Background:

  • Resonant Inelastic X-ray Scattering (RIXS) is a powerful probe of electronic and magnetic excitations.
  • Calculating RIXS spectra for complex systems often requires significant computational resources.

Purpose of the Study:

  • To present a novel computational method for RIXS spectra in 1D systems.
  • To overcome the limitations of traditional Exact Diagonalization (ED) methods.

Main Methods:

  • Utilizing the Density Matrix Renormalization Group (DMRG) algorithm for RIXS calculations.
  • Applying the method to multi-orbital and downfolded t-J models of CuO4 chains.

Main Results:

  • Achieved RIXS spectra on cluster sizes significantly larger than ED.
  • Directly compared results from different models with identical momentum resolution.
  • Identified that the downfolded t-J model requires spectral scaling to match RIXS magnetic excitation features.

Conclusions:

  • DMRG offers a computationally advantageous approach for RIXS spectral calculations.
  • The study provides insights into magnetic excitations in CuO4 chains.
  • Highlights the conditions under which simplified models capture experimental RIXS data.