Interplay of altermagnetism and weak ferromagnetism in two-dimensional RuF$_4$

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Hauptverfasser: Milivojević, Marko, Orozović, Marko, Picozzi, Silvia, Gmitra, Martin, Stavrić, Srdjan
Format: Preprint
Veröffentlicht: 2024
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author Milivojević, Marko
Orozović, Marko
Picozzi, Silvia
Gmitra, Martin
Stavrić, Srdjan
author_facet Milivojević, Marko
Orozović, Marko
Picozzi, Silvia
Gmitra, Martin
Stavrić, Srdjan
contents Gaining growing attention in spintronics is a class of magnets displaying zero net magnetization and spin-split electronic bands called altermagnets. Here, by combining density functional theory and symmetry analysis, we show that RuF$_4$ monolayer is a two-dimensional $d$-wave altermagnet. Spin-orbit coupling leads to pronounced spin splitting of the electronic bands at the $Γ$ point by $\sim 100$ meV and turns the RuF$_4$ into a weak ferromagnet due to non trivial spin-momentum locking that cants the Ru magnetic moments. The net magnetic moment scales linearly with the spin-orbit coupling strength. Using group theory we derive an effective spin Hamiltonian capturing the spin-splitting and spin-momentum locking of the electronic bands. Disentanglement of the altermagnetic and spin-orbit coupling induced spin splitting uncovers to which extent the altermagnetic properties are affected by the spin-orbit coupling. Our results move the spotlight to the non trivial spin-momentum locking and weak ferromagnetism in the two-dimensional altermagnets relevant for novel venues in this emerging field of material science research.
format Preprint
id arxiv_https___arxiv_org_abs_2401_15424
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Interplay of altermagnetism and weak ferromagnetism in two-dimensional RuF$_4$
Milivojević, Marko
Orozović, Marko
Picozzi, Silvia
Gmitra, Martin
Stavrić, Srdjan
Materials Science
Gaining growing attention in spintronics is a class of magnets displaying zero net magnetization and spin-split electronic bands called altermagnets. Here, by combining density functional theory and symmetry analysis, we show that RuF$_4$ monolayer is a two-dimensional $d$-wave altermagnet. Spin-orbit coupling leads to pronounced spin splitting of the electronic bands at the $Γ$ point by $\sim 100$ meV and turns the RuF$_4$ into a weak ferromagnet due to non trivial spin-momentum locking that cants the Ru magnetic moments. The net magnetic moment scales linearly with the spin-orbit coupling strength. Using group theory we derive an effective spin Hamiltonian capturing the spin-splitting and spin-momentum locking of the electronic bands. Disentanglement of the altermagnetic and spin-orbit coupling induced spin splitting uncovers to which extent the altermagnetic properties are affected by the spin-orbit coupling. Our results move the spotlight to the non trivial spin-momentum locking and weak ferromagnetism in the two-dimensional altermagnets relevant for novel venues in this emerging field of material science research.
title Interplay of altermagnetism and weak ferromagnetism in two-dimensional RuF$_4$
topic Materials Science
url https://arxiv.org/abs/2401.15424