Details

Autor(en) / Beteiligte

• Hoffmann, Markus
• Blügel, Stefan

Titel

Systematic derivation of realistic spin models for beyond-Heisenberg solids

Ist Teil von

• Physical review. B, 2020-01, Vol.101 (2), p.1, Article 024418

Ort / Verlag

College Park: American Physical Society

Erscheinungsjahr

2020

Quelle

American Physical Society Journals

Beschreibungen/Notizen

• We present a systematic derivation of effective lattice spin Hamiltonians derived from a rotationally invariant multiorbital Hubbard model including a term ensuring Hund's rule coupling. The Hamiltonians are derived down-folding the fermionic degrees of freedom of the Hubbard model into the proper low-energy spin sector using Löwdin partitioning, which will be outlined in detail for the case of two sites and two orbitals at each site. Correcting the ground state systematically up to fourth order in the hopping of electrons, we find, for spin S≥1, the biquadratic, three-spin, and four-spin interactions beyond the conventional Heisenberg term. Comparing the puzzling energy spectrum of the magnetic states for a single Fe monolayer on Ru(0001), obtained from density functional theory, with the spin Hamiltonians taken at the limit of classical spins, we show that the previously ignored three-spin interaction can be comparable in size to the conventional Heisenberg exchange.