Phase transitions, Dirac and Weyl semimetal states in Mn1−x Ge x Bi2Te4

Abstract Using angle-resolved photoemission spectroscopy (ARPES) and density functional theory (DFT), an experimental and theoretical study of changes in the electronic structure (dispersion dependencies) and corresponding modification of the energy band gap at the Dirac point (DP) for topological i...

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Main Authors: A. M. Shikin, N. L. Zaitsev, T. P. Estyunina, D. A. Estyunin, A. G. Rybkin, D. A. Glazkova, I. I. Klimovskikh, A. V. Eryzhenkov, K. A. Kokh, V. A. Golyashov, O. E. Tereshchenko, S. Ideta, Y. Miyai, Y. Kumar, T. Iwata, T. Kosa, K. Kuroda, K. Shimada, A. V. Tarasov
Format: Article
Language:English
Published: Nature Portfolio 2025-01-01
Series:Scientific Reports
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Online Access:https://doi.org/10.1038/s41598-024-73267-1
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author A. M. Shikin
N. L. Zaitsev
T. P. Estyunina
D. A. Estyunin
A. G. Rybkin
D. A. Glazkova
I. I. Klimovskikh
A. V. Eryzhenkov
K. A. Kokh
V. A. Golyashov
O. E. Tereshchenko
S. Ideta
Y. Miyai
Y. Kumar
T. Iwata
T. Kosa
K. Kuroda
K. Shimada
A. V. Tarasov
author_facet A. M. Shikin
N. L. Zaitsev
T. P. Estyunina
D. A. Estyunin
A. G. Rybkin
D. A. Glazkova
I. I. Klimovskikh
A. V. Eryzhenkov
K. A. Kokh
V. A. Golyashov
O. E. Tereshchenko
S. Ideta
Y. Miyai
Y. Kumar
T. Iwata
T. Kosa
K. Kuroda
K. Shimada
A. V. Tarasov
author_sort A. M. Shikin
collection DOAJ
description Abstract Using angle-resolved photoemission spectroscopy (ARPES) and density functional theory (DFT), an experimental and theoretical study of changes in the electronic structure (dispersion dependencies) and corresponding modification of the energy band gap at the Dirac point (DP) for topological insulator (TI) $$\textrm{Mn}_{1-x} \textrm{Ge}_x \textrm{Bi}_2 \textrm{Te}_4$$ have been carried out with gradual replacement of magnetic Mn atoms by non-magnetic Ge atoms when concentration of the latter was varied from 10% to 75%. It was shown that when Ge concentration increases, the bulk band gap decreases and reaches zero plateau in the concentration range of 45–60% while trivial surface states (TrSS) are present and exhibit an energy splitting of 100 and 70 meV in different types of measurements. It was also shown that TSS disappear from the measured band dispersions at a Ge concentration of about 40%. DFT calculations of $$\textrm{Mn}_{1-x} \textrm{Ge}_x \textrm{Bi}_2 \textrm{Te}_4$$ band structure were carried out to identify the nature of observed band dispersion features and to analyze the possibility of magnetic Weyl semimetal state formation in this system. These calculations were performed for both antiferromagnetic (AFM) and ferromagnetic (FM) ordering types while the spin-orbit coupling (SOC) strength was varied or a strain (compression or tension) along the c-axis was applied. Calculations show that two different series of topological phase transitions (TPTs) may be implemented in this system, depending on the magnetic ordering. In the case of AFM ordering, the transition between TI and the trivial insulator phase passes through the Dirac semimetal state, whereas for FM phase such route admits three intermediate states instead of one (TI—Dirac semimetal—Weyl semimetal—Dirac semimetal—trivial insulator). Weyl points that form in the FM system along the $$\varGamma \!Z$$ direction annihilate when either the SOC strength decreases or a sufficient tensile strain is applied, which is accompanied by the corresponding TPTs. Model calculations of the influence of local magnetic ordering in AFM $$\textrm{Mn}_{1-x} \textrm{Ge}_x \textrm{Bi}_2 \textrm{Te}_4$$ were carried out by alternating Mn layers with Ge-doped layers and showed that the magnetic Weyl semimetal state in this system is reachable at a Ge concentration of approximately 40% without application of any external magnetic fields.
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spelling doaj-art-210fff17d70b4a50b8bc43dab70b38292025-01-12T12:18:00ZengNature PortfolioScientific Reports2045-23222025-01-0115111910.1038/s41598-024-73267-1Phase transitions, Dirac and Weyl semimetal states in Mn1−x Ge x Bi2Te4A. M. Shikin0N. L. Zaitsev1T. P. Estyunina2D. A. Estyunin3A. G. Rybkin4D. A. Glazkova5I. I. Klimovskikh6A. V. Eryzhenkov7K. A. Kokh8V. A. Golyashov9O. E. Tereshchenko10S. Ideta11Y. Miyai12Y. Kumar13T. Iwata14T. Kosa15K. Kuroda16K. Shimada17A. V. Tarasov18Saint Petersburg State UniversitySaint Petersburg State UniversitySaint Petersburg State UniversitySaint Petersburg State UniversitySaint Petersburg State UniversitySaint Petersburg State UniversityDonostia International Physics Center (DIPC)Saint Petersburg State UniversitySaint Petersburg State UniversitySaint Petersburg State UniversitySaint Petersburg State UniversityResearch Institute for Synchrotron Radiation Science (HiSOR), Hiroshima UniversityResearch Institute for Synchrotron Radiation Science (HiSOR), Hiroshima UniversityResearch Institute for Synchrotron Radiation Science (HiSOR), Hiroshima UniversityGraduate School of Advanced Science and Engineering, Hiroshima UniversityGraduate School of Advanced Science and Engineering, Hiroshima UniversityGraduate School of Advanced Science and Engineering, Hiroshima UniversityResearch Institute for Synchrotron Radiation Science (HiSOR), Hiroshima UniversitySaint Petersburg State UniversityAbstract Using angle-resolved photoemission spectroscopy (ARPES) and density functional theory (DFT), an experimental and theoretical study of changes in the electronic structure (dispersion dependencies) and corresponding modification of the energy band gap at the Dirac point (DP) for topological insulator (TI) $$\textrm{Mn}_{1-x} \textrm{Ge}_x \textrm{Bi}_2 \textrm{Te}_4$$ have been carried out with gradual replacement of magnetic Mn atoms by non-magnetic Ge atoms when concentration of the latter was varied from 10% to 75%. It was shown that when Ge concentration increases, the bulk band gap decreases and reaches zero plateau in the concentration range of 45–60% while trivial surface states (TrSS) are present and exhibit an energy splitting of 100 and 70 meV in different types of measurements. It was also shown that TSS disappear from the measured band dispersions at a Ge concentration of about 40%. DFT calculations of $$\textrm{Mn}_{1-x} \textrm{Ge}_x \textrm{Bi}_2 \textrm{Te}_4$$ band structure were carried out to identify the nature of observed band dispersion features and to analyze the possibility of magnetic Weyl semimetal state formation in this system. These calculations were performed for both antiferromagnetic (AFM) and ferromagnetic (FM) ordering types while the spin-orbit coupling (SOC) strength was varied or a strain (compression or tension) along the c-axis was applied. Calculations show that two different series of topological phase transitions (TPTs) may be implemented in this system, depending on the magnetic ordering. In the case of AFM ordering, the transition between TI and the trivial insulator phase passes through the Dirac semimetal state, whereas for FM phase such route admits three intermediate states instead of one (TI—Dirac semimetal—Weyl semimetal—Dirac semimetal—trivial insulator). Weyl points that form in the FM system along the $$\varGamma \!Z$$ direction annihilate when either the SOC strength decreases or a sufficient tensile strain is applied, which is accompanied by the corresponding TPTs. Model calculations of the influence of local magnetic ordering in AFM $$\textrm{Mn}_{1-x} \textrm{Ge}_x \textrm{Bi}_2 \textrm{Te}_4$$ were carried out by alternating Mn layers with Ge-doped layers and showed that the magnetic Weyl semimetal state in this system is reachable at a Ge concentration of approximately 40% without application of any external magnetic fields.https://doi.org/10.1038/s41598-024-73267-1ARPESDFTMnBi2Te4Magnetic topological insulatorsWeyl semimetalsdoping
spellingShingle A. M. Shikin
N. L. Zaitsev
T. P. Estyunina
D. A. Estyunin
A. G. Rybkin
D. A. Glazkova
I. I. Klimovskikh
A. V. Eryzhenkov
K. A. Kokh
V. A. Golyashov
O. E. Tereshchenko
S. Ideta
Y. Miyai
Y. Kumar
T. Iwata
T. Kosa
K. Kuroda
K. Shimada
A. V. Tarasov
Phase transitions, Dirac and Weyl semimetal states in Mn1−x Ge x Bi2Te4
Scientific Reports
ARPES
DFT
MnBi2Te4
Magnetic topological insulators
Weyl semimetals
doping
title Phase transitions, Dirac and Weyl semimetal states in Mn1−x Ge x Bi2Te4
title_full Phase transitions, Dirac and Weyl semimetal states in Mn1−x Ge x Bi2Te4
title_fullStr Phase transitions, Dirac and Weyl semimetal states in Mn1−x Ge x Bi2Te4
title_full_unstemmed Phase transitions, Dirac and Weyl semimetal states in Mn1−x Ge x Bi2Te4
title_short Phase transitions, Dirac and Weyl semimetal states in Mn1−x Ge x Bi2Te4
title_sort phase transitions dirac and weyl semimetal states in mn1 x ge x bi2te4
topic ARPES
DFT
MnBi2Te4
Magnetic topological insulators
Weyl semimetals
doping
url https://doi.org/10.1038/s41598-024-73267-1
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