Abstract | In this talk, I will overview the developments in the field of magnetic topological insulators (MTIs) that led to the discovery of the intrinsic MTIs of the MnBi2Te4 family that attracts a great deal of attention nowadays. First, to describe the context in which materials such as MnBi2Te4 appeared in the research arena, I will discuss the magnetic doping and magnetic proximity effect approaches of introducing magnetism into a TI. Then, the two types of novel interfaces involving MnBi2Te(Se)4 compounds will be discussed, as they are expected to show certain advantages over the latter two approaches. Next, the discovery of intrinsic MTIs of the MnBi2Te family will be overviewed in great detail [1-4]. The appearance of these materials opens a new field that focuses on intrinsically magnetic stoichiometric compounds: several MnBi2Te4-derived MTIs were synthesized right away [5], such as (MnBi2Te4)·n(Bi2Te3), MnBi2−xSbxTe4, (MnSb2Te4)·n(Sb2Te3), Mn2(Bi,Sb)2Te5, and MnBi2Se4. As a result, MnBi2Te4 and related compounds have been predicted to be a platform for realizing high-order topological insulator and superconductor states, Weyl semimetal phase, skyrmions, quantized magnetoeletric coupling, and Majorana fermions. Moreover, MnBi2Te4-based systems are predicted and/or observed to show 12 different types of Hall effect [6,7], some of them are fundamentally new, such as the layer Hall effect [7]. A number of technological applications have also been envisioned, in particular, chiral interconnect devices based on the high-Chern-number topological heterostructures [8]. Concerning current challenges of this field, we will discuss the issue of the Dirac point gap in the MnBi2Te4 topological surface state that caused a lot of controversy. While the early experimental measurements reported on large gaps, in agreement with ab initio calculations, a number of further studies claimed to observe a gapless dispersion of the MnBi2Te4 Dirac cone. A number of possible theoretical explanations of this unexpected behavior have been put forward, which we will discuss in the context of the available experimental data [9]. I acknowledge the support by MCIN/AEI/10.13039/501100011033/ (Grant PID2022-138210NB-I00) and ERDF A way of making Europe, by Ayuda CEX2023-001286-S financiada por MICIU/AEI/10.13039/501100011033, as well as MCIN with funding from European Union NextGenerationEU (PRTR-C17.I1) promoted by the Government of Aragon. References: [1] M.M. Otrokov et al. Nature 576, 16 (2019) [2] M.M. Otrokov et al. Phys. Rev. Lett. 122, 07202 (2019) [3] Y. Gong et al., Chin. Phys. Lett. 36, 076801 (2019) [4] A.Y. Vyazovskaya, M. Bosnar, E.V. Chulkov, M.M. Otrokov. Commun Mater 6, 88 (2025). Review article [5] I.I. Klimovskikh, M.M. Otrokov et al. npj Quantum Mater. 5, 54 (2020) [6] Y. Deng et al. Science 367, 895 (2020) [7] A. Gao et al. Nature 595, 521 (2021) [8] M. Bosnar, A.Yu. Vyazovskaya, E.K. Petrov, E.V. Chulkov, M.M. Otrokov. npj 2D Mater. Appl. 7, 33 (2023) [9] M. Garnica, M.M. Otrokov et al. npj Quantum Mater. 7, 7 (2022) |