Π£ Π½Π°Ρ Π²Ρ ΠΌΠΎΠΆΠ΅ΡΠ΅ ΠΏΠΎΡΠΌΠΎΡΡΠ΅ΡΡ Π±Π΅ΡΠΏΠ»Π°ΡΠ½ΠΎ ΠΠΎΠ²Π΅ΠΉΡΠΈΠ΅ Π΄ΠΎΡΡΠΈΠΆΠ΅Π½ΠΈΡ Π² ΡΠΈΠ·ΠΈΠΊΠ΅ ΠΈ ΠΌΠ°ΡΠ΅ΡΠΈΠ°Π»ΠΎΠ²Π΅Π΄Π΅Π½ΠΈΠΈ ΠΌΠ°Π³Π½ΠΈΡΠ½ΡΡ ΡΠΎΠΏΠΎΠ»ΠΎΠ³ΠΈΡΠ΅ΡΠΊΠΈΡ ΠΈΠ·ΠΎΠ»ΡΡΠΎΡΠΎΠ². Π. Π. Π§ΡΠ»ΠΊΠΎΠ² ΠΈΠ»ΠΈ ΡΠΊΠ°ΡΠ°ΡΡ Π² ΠΌΠ°ΠΊΡΠΈΠΌΠ°Π»ΡΠ½ΠΎΠΌ Π΄ΠΎΡΡΡΠΏΠ½ΠΎΠΌ ΠΊΠ°ΡΠ΅ΡΡΠ²Π΅, Π²ΠΈΠ΄Π΅ΠΎ ΠΊΠΎΡΠΎΡΠΎΠ΅ Π±ΡΠ»ΠΎ Π·Π°Π³ΡΡΠΆΠ΅Π½ΠΎ Π½Π° ΡΡΡΠ±. ΠΠ»Ρ Π·Π°Π³ΡΡΠ·ΠΊΠΈ Π²ΡΠ±Π΅ΡΠΈΡΠ΅ Π²Π°ΡΠΈΠ°Π½Ρ ΠΈΠ· ΡΠΎΡΠΌΡ Π½ΠΈΠΆΠ΅:
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ΠΡΠ»ΠΈ Π²ΠΎΠ·Π½ΠΈΠΊΠ°ΡΡ ΠΏΡΠΎΠ±Π»Π΅ΠΌΡ ΡΠΎ ΡΠΊΠ°ΡΠΈΠ²Π°Π½ΠΈΠ΅ΠΌ Π²ΠΈΠ΄Π΅ΠΎ, ΠΏΠΎΠΆΠ°Π»ΡΠΉΡΡΠ° Π½Π°ΠΏΠΈΡΠΈΡΠ΅ Π² ΠΏΠΎΠ΄Π΄Π΅ΡΠΆΠΊΡ ΠΏΠΎ Π°Π΄ΡΠ΅ΡΡ Π²Π½ΠΈΠ·Ρ
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ΠΠ²Π³Π΅Π½ΠΈΠΉ ΠΠ»Π°Π΄ΠΈΠΌΠΈΡΠΎΠ²ΠΈΡ Π§ΡΠ»ΠΊΠΎΠ² Π΄.Ρ.-ΠΌ.Π½., University of the Basque Country (ΠΡΠΏΠ°Π½ΠΈΡ), ΡΡΠΊΠΎΠ²ΠΎΠ΄ΠΈΡΠ΅Π»Ρ ΠΠ°Π±ΠΎΡΠ°ΡΠΎΡΠΈΠΈ ΡΠ»Π΅ΠΊΡΡΠΎΠ½Π½ΠΎΠΉ ΠΈ ΡΠΏΠΈΠ½ΠΎΠ²ΠΎΠΉ ΡΡΡΡΠΊΡΡΡΡ Π½Π°Π½ΠΎΡΠΈΡΡΠ΅ΠΌ, Π‘ΠΠ±ΠΠ£ Topological insulators (TIs) are narrowβgap semiconductors characterized by the gapless Dirac-like surface state and protected by time-reversal (TR) symmetry. Two-dimensional TIs or quantum spin Hall insulators (QSHIs) are realized in thin film insulators and possess this state at the film edge where spin transport can be effectuated. Introduction of a magnetic field (external or internal) breaks TR symmetry and causes splitting of the topological surface state at the Dirac point thus making the surface insulating. These ferromagnetic TIs realize quantum anomalous Hall effect (QAHE) in two-dimensional systems. Internal magnetic field in TIs can be created in various ways, in particular, by introducing vacancies or carbon atoms, doping with 3d-transition metal atoms, displaying magnetic semiconductors or organic overlayers as well as bulk materials on the surface of three- or two-dimensional TIs. Magnetic field effect on the TI surface state (SS) can be also realized due to extension of the TI SS into the magnetic overlayer. Antiferromagnetic TIs can realize such intriguing effects as magnetoelectric effect] and axion insulator phase. Here I present and discuss recent results of the study of nonmagnetic, ferro-, and antiferro-magnetic topological insulators and heterostructures. New method for engineering of heterostructures that results systematically in a big splitting of the Dirac cone is discussed and new perspectives for realizations of exotic topological phases are outlined. ΠΠΎΠΊΠ»Π°Π΄ ΠΎΡΡΠ°ΠΆΠ°Π΅Ρ ΡΠ΅Π·ΡΠ»ΡΡΠ°ΡΡ, ΠΎΠΏΡΠ±Π»ΠΈΠΊΠΎΠ²Π°Π½Π½ΡΠ΅ Π² 2012-2019 Π³Π³. (Phys. Rev. Letters, Phys. Rev. B, Nano Letters, JETP Lett, β¦) ΠΠΎΠΊΠ»Π°Π΄ ΠΏΡΠ΅Π΄ΡΡΠ°Π²Π»Π΅Π½ Π½Π° ΡΡΡΡΠΊΠΎΠΌ ΡΠ·ΡΠΊΠ΅ Π ΡΠΊΠΎΠ²ΠΎΠ΄ΠΈΡΠ΅Π»Ρ ΡΠ΅ΠΌΠΈΠ½Π°ΡΠ°: ΠΏΡΠΎΡ. Π.Π. Π§ΠΈΠΆΠΈΠΊ, ΡΠ΅Π». 428 7559, [email protected] Π‘Π΅ΠΊΡΠ΅ΡΠ°ΡΡ ΡΠ΅ΠΌΠΈΠ½Π°ΡΠ°: ΠΊ. Ρ.-ΠΌ. Π½. Π. Π. ΠΡΠΏΡΠΈΡΠ½ΠΎΠ², [email protected] Π‘Π΅ΠΌΠΈΠ½Π°Ρ ΠΏΡΠΎΠ²ΠΎΠ΄ΠΈΡΡΡ ΠΏΡΠΈ ΠΏΠΎΠ΄Π΄Π΅ΡΠΆΠΊΠ΅ ΠΠΠ "ΠΠ»ΠΊΠΎΡ Π’Π΅ΠΊΠ½ΠΎΠ»ΠΎΠ΄ΠΆΠΈΠ·" β ΡΠΎΡΡΠΈΠΉΡΠΊΠΎΠ΅ ΠΏΡΠΎΠΈΠ·Π²ΠΎΠ΄ΡΡΠ²ΠΎ ΠΎΠΏΡΠΈΡΠ΅ΡΠΊΠΈΡ ΠΊΠΎΠΌΠΏΠΎΠ½Π΅Π½ΡΠΎΠ² (http://www.alkor.net/alkorru/index.html) ΠΠ»Ρ ΠΏΠΎΠ»ΡΡΠ΅Π½ΠΈΡ ΠΈΠ½ΡΠΎΡΠΌΠ°ΡΠΈΠΈ ΠΎ Π±ΡΠ΄ΡΡΠΈΡ ΠΌΠ΅ΡΠΎΠΏΡΠΈΡΡΠΈΡΡ ΡΠ΅ΠΊΠΎΠΌΠ΅Π½Π΄ΡΠ΅ΠΌ ΠΏΠΎΠ΄ΠΏΠΈΡΠ°ΡΡΡΡ Π½Π° ΡΠ°ΡΡΡΠ»ΠΊΡ ΠΠ°ΡΡΠ½ΠΎΠ³ΠΎ ΡΠ΅ΠΌΠΈΠ½Π°ΡΠ° ΡΠΈΠ·ΠΈΡΠ΅ΡΠΊΠΎΠ³ΠΎ ΡΠ°ΠΊΡΠ»ΡΡΠ΅ΡΠ°: https://magres.ru/seminar.html