Altermagnetic materials are characterized by collinear magnetic order with a vanishing net magnetic moment, but
nevertheless have a spin-splitting in their non-relativistic electronic band structure. From ab initio calculations we have
identified around 60 altermagnetic materials. From a theoretical point of view several physical properties that render
altermagnets different from canonical antiferro-, ferro- and ferri-magnets will be discussed. These include certain spin
and heat transport features and piezomagnetic responses. By symmetry in principle also an anomalous Hall effect (AHE)
is allowed in certain altermagnets. In particular we introduce an altermagnetic model in which the emergence of an AHE
is driven by interactions. Quantum Monte Carlo simulations show that the system undergoes a finite temperature phase
ransition governed by a primary antiferromagnetic order parameter accompanied by a secondary altermagnetic one.
The emergence of both orders turns the metallic state of the system, away from half-filling, into an altermagnet with
zero net moment but a finite AHE.
References:
Y. Guo, H. Liu, O. Janson, I.C. Fulga, J. van den Brink, and J.I. Facio,
Spin-split collinear antiferromagnets: A large-scale ab-initio study, Materials Today Physics, 32, 100991 (2023)
T. Sato, S. Haddad, I.C. Fulga, F.F. Assaad, and J. van den Brink,
Altermagnetic anomalous Hall effect emerging from electronic correlations, Phys. Rev. Lett. 133, 086503 (2024)
O. Gomonay, V. P. Kravchuk, R. Jaeschke-Ubiergo, K. V. Yershov, T. Jungwirth, L. Šmejkal, J. van den Brink, J. Sinova,
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C. Li, M. Hu, Z. Li, Y. Wang, W. Chen, B. Thiagarajan, M. Leandersson, C. Polley, T. Kim, H. Liu, C. Fulga, M.G. Vergniory, O. Janson, O. Tjernberg, and J. van den Brink,
Topological Weyl Altermagnetism in CrSb, Communications Physics 8, 311 (2025)
