Constraints on the two-dimensional pseudo-spin 1/2 Mott insulator description of Sr$_2$IrO$_4$

Autor: Zwartsenberg, Berend, Day, Ryan P., Razzoli, Elia, Michiardi, Matteo, Na, Mengxing, Zhang, Guoren, Denlinger, Jonathan D., Vobornik, Ivana, Bigi, Chiara, Kim, Bumjoon, Elfimov, Ilya S., Pavarini, Eva, Damascelli, Andrea
Rok vydání: 2022
Předmět:
Zdroj: Phys. Rev. B 105, 245130 (2022)
Druh dokumentu: Working Paper
DOI: 10.1103/PhysRevB.105.245130
Popis: Sr$_{2}$IrO$_{4}$ has often been described via a simple, one-band pseudo-spin 1/2 model, subject to electron-electron interactions, on a square lattice, fostering analogies with cuprate superconductors, believed to be well described by a similar model. In this work we argue - based on a detailed study of the low-energy electronic structure by circularly polarized spin and angle-resolved photoemission spectroscopy combined with dynamical mean-field theory calculations - that a pseudo-spin 1/2 model fails to capture the full complexity of the system. We show instead that a realistic multi-band Hubbard Hamiltonian, accounting for the full correlated $t_{2g}$ manifold, provides a detailed description of the interplay between spin-orbital entanglement and electron-electron interactions, and yields quantitative agreement with experiments. Our analysis establishes that the $j_{3/2}$ states make up a substantial percentage of the low energy spectral weight, i.e. approximately 74% as determined from the integration of the $j$-resolved spectral function in the $0$ to $-1.64$ eV energy range. The results in our work are not only of relevance to iridium based materials, but more generally to the study of multi-orbital materials with closely spaced energy scales.
Comment: 10 pages, 8 figures
Databáze: arXiv