Impact of magnetic dopants on magnetic and topological phases in magnetic topological insulators

Tran, Thanh-Mai Thi; Le, Duc-Anh; Pham, Thanh Tung; Nguyen, T. K. T.; Tran, Minh-Tien

doi:10.1103/physrevb.102.205124

Cited by 6 publications

(12 citation statements)

References 66 publications

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“…Including the Hund coupling into the spinful Haldane model, it can describe both magnetism and topology in systems without the time-reversal symmetry. This contrasts to the including the Hund coupling to the Kane-Mele model, which preserves the time-reversal symmetry [11,12].…”

Section: Introductionmentioning

confidence: 93%

“…In FMTIs both spin orientations are topologically symmetry. The topological symmetry of the spin orientations also occurs in antiferromagnetic topological insulators (AFTIs) [11,12]. In AFTIs electrons of both spin components occupy the topological ground state, although their sublattice magnetizations have opposite values.…”

Section: Introductionmentioning

confidence: 99%

“…In AFTIs electrons of both spin components occupy the topological ground state, although their sublattice magnetizations have opposite values. The occupied bands for each spin component contribute a quantized value to the Hall conductivity, therefore electrons of both spin orientations are simultaneously topological [11,12].…”

Section: Introductionmentioning

confidence: 99%

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Half-topological state in magnetic topological insulators

Tran¹,

Tran²

2022

J. Phys.: Condens. Matter

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We predict a novel topological state, half-topological state, in magnetic topological insulators. The topological state is characterized by different topologies of electrons with different spin orientations, i.e., electrons with one spin orientation occupy a nontrivial topological insulating state, while electrons with opposite orientation occupy another insulating state with trivial topology. We demonstrate the occurrence of the half-topological state in magnetic topological insulators by employing a minimal model. The minimal model is a combination of the spinful Haldane and the double-exchange models. The double-exchange processes maintain a spontaneous magnetic ordering, while the next-nearest-neighbor hopping in the Haldane model gives rise to a nontrivial topological insulator. The minimal model is studied by applying the dynamical mean field theory. It is found that the long-range antiferromagnetic ordering drives the system from either topological or topologically trivial antiferromagnetic insulator to the half-topological state, and finally to topologically trivial antiferromagnetic insulator. The equations for the topological phase transitions are also explicitly derived.

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Section: Introductionmentioning

confidence: 93%

Section: Introductionmentioning

confidence: 99%

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Half-topological state in magnetic topological insulators

Tran¹,

Tran²

2022

J. Phys.: Condens. Matter

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“…The Hund coupling essentially describes the double exchange processes between itinerant electrons and localized spins [14,15]. As widely adopted in the studies of magnetic materials, we will treat the localized spins classically [14,15,[21][22][23][24][25][26][27][28][29][30][31][32].In addition, we omit the nearest-neighbor interactions between itinerant electrons and localized spins. They would be weaker than the local Hund coupling.…”

Section: Modelmentioning

confidence: 99%

“…It (Φ ≠ 0, π) induces topologically nontrivial band structure [4,5]. When the Hund coupling is included, its interplay with the SOC can emerge topological magnetic phases [31,32]. Hamiltonian (2) is just the spin version of the quantum anomalous Hall model, which is obtained from the double exchange model in the strong Hund coupling limit [4].…”

Section: Modelmentioning

confidence: 99%

Magnetic competition in topological kagome magnets

Tran

Nguyen

Nguyen³

et al. 2021

Mater. Res. Express

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Magnetic competition in topological kagome magnets is studied by incorporating the spin-orbit coupling, anisotropic Hund coupling and spin exchange into a tight-binding electron dynamics in the kagome lattice. Using the Bogoliubov variational principle we ﬁnd the stable phases at zero and ﬁnite temperatures. At zero temperature and in the strong Ising-Hund coupling regime, a magnetic tunability from the out-of-plane ferromagnetism to the in-plane antiferromagnetism is achieved through a universal property of the critical in-plane Hund coupling. At low temperature the out-of-plane ferromagnetism is stable until a ﬁnite crossing temperature. Above the crossing temperature the in-plane antiferromagnetism is stable, but the magnetization of the out-of-plane ferromagnetism still survives. This suggests a metastable coexistence of these magnetic phases in a ﬁnite temperature range. A large anomalous Hall conductance is observed in the Ising-Hund coupling limit.

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Magnetic topological phases in the double exchange model with spin–orbit coupling

Tran,

Phan,

Tran

2024

Phys. Scr.

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The double exchange model with the spin-orbit coupling is studied by the dynamical mean field theory. It reveals a competition between the magnetic, charge orderings and the non-trivial topology of the ground state. The spin exchange tends to maintain the magnetic ordering, and at the same time it tries to suppress the charge ordering. The spin-orbit coupling maintains nontrivial topology of the ground state, whereas the magnetic ordering tries to destroy it. As a result, a rich phase diagram is obtained. The competition leads to a half topological ground state, where spin-up electrons form a nontrivial topological state, while spin-down electrons are in the topological trivial insulating state.

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Impact of magnetic dopants on magnetic and topological phases in magnetic topological insulators

Cited by 6 publications

References 66 publications

Half-topological state in magnetic topological insulators

Half-topological state in magnetic topological insulators

Magnetic competition in topological kagome magnets

Magnetic topological phases in the double exchange model with spin–orbit coupling

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