English

Broken-symmetry magnetic phases in two-dimensional triangulene crystals

Mesoscale and Nanoscale Physics 2024-11-01 v1

Abstract

We provide a comprehensive theory of magnetic phases in two-dimensional triangulene crystals, using both Hubbard model and density functional theory (DFT) calculations. We consider centrosymmetric and non-centrosymmetric triangulene crystals. In all cases, DFT and mean-field Hubbard model predict the emergence of broken-symmetry antiferromagnetic (ferrimagnetic) phases for the centrosymmetric (non-centrosymmetric) crystals. This includes the special case of the [4,4]triangulene crystal, whose non-interacting energy bands feature a gap with flat valence and conduction bands. We show how the lack of contrast between the local density of states of these bands, recently measured via scanning tunneling spectroscopy, is a natural consequence of a broken-symmetry N\'eel state that blocks intermolecular hybridization. Using random phase approximation, we also compute the spin wave spectrum of these crystals, including the recently synthesized [4,4]triangulene crystal. The results are in excellent agreement with the predictions of a Heisenberg spin model derived from multi-configuration calculations for the unit cell. We conclude that experimental results are compatible with an antiferromagnetically ordered phase where each triangulene retains the spin predicted for the isolated species.

Keywords

Cite

@article{arxiv.2306.17153,
  title  = {Broken-symmetry magnetic phases in two-dimensional triangulene crystals},
  author = {G. Catarina and J. C. G. Henriques and A. Molina-Sánchez and A. T. Costa and J. Fernández-Rossier},
  journal= {arXiv preprint arXiv:2306.17153},
  year   = {2024}
}