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TT: Fachverband Tiefe Temperaturen

TT 23: Correlated Electrons – Poster I

TT 23.12: Poster

Montag, 9. März 2026, 18:00–20:00, P1

Spectral densities for inelastic scattering in anisotropic Heisenberg models on mono- and bilayer square lattices and the honeycomb lattice via continuous similarity transformations — •Vanessa Sulaiman¹, Dag-Björn Hering¹, Matthias R. Walther², Kai P. Schmidt², and Götz S. Uhrig¹ — ¹Condensed Matter Theory, Technische Universität Dortmund, Otto-Hahn-Straße 4, 44221 Dortmund, Germany — ²Department of Physics, Friedrich-Alexander-Universität Erlangen-Nürnberg, Staudtstraße 7, 91058 Erlangen, Germany

We apply a continuous similarity transformation (CST) [1] with a magnon-conserving generator to the antiferromagnetic anisotropic XXZ model. For the square lattice, the resulting effective Hamiltonian has already been analyzed [2]. We extend the approach by applying the CST to observables as well. Using the continuous fraction representation, we calculate spectral densities for these observables on the square and honeycomb lattice, as well as the bilayer square lattice. These are compared to experimental data from RIXS measurements [3], for example with single-layered Ca₂CuO₂Cl₂ and bilayer Sr₃Ir₂O₇.
[1] M. Powalski et al., Phys. Rev. Lett. 115, 207202 (2015) and SciPost Phys. 4, 001 (2018)
[2] M. R. Walther et al., Phys. Rev. Research 5, 013132 (2023)
[3] K.-J. Zhou et al., J. Synchrotron Rad. 29, 563 (2022)

Keywords: Continuous Similarity Transformation; Anisotropic XXZ Model; Inelastic Scattering; Antiferromagnetism; Spectral Densities