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

Abstract

A topological insulator doped with random magnetic impurities is studied. The system is modelled by the Kane-Mele model with a random spin exchange between conduction electrons and magnetic dopants. The dynamical mean field theory for disordered systems is used to investigate the electron dynamics. The magnetic long-range order and the topological invariant are calculated within the mean field theory. They reveal a rich phase diagram, where different magnetic long-range orders such as antiferromagnetic or ferromagnetic one can exist in the metallic or insulating phases, depending on electron and magnetic impurity fillings. It is found that insulator only occurs at electron half filling, quarter filling and when electron filling is equal to magnetic impurity filling. However, non-trivial topology is observed only in half-filling antiferromagnetic insulator and quarter-filling ferromagnetic insulator. At electron half filling, the spin Hall conductance is quantized and it is robust against magnetic doping, while at electron quarter filling, magnetic dopants drive the ferromagnetic topological insulator to ferromagnetic metal. The quantum anomalous Hall effect is observed only at electron quarter filling and dense magnetic doping.

References in corpus (55)

• Quantum Spin Hall Effect in Graphene
• Weyl and Dirac Semimetals in Three Dimensional Solids
• Experimental Observation of the Quantum Anomalous Hall Effect in a Magnetic Topological Insulator
• Quantized Anomalous Hall Effect in Magnetic Topological Insulators
• Topological Materials: Weyl Semimetals
• Chern Numbers in Discretized Brillouin Zone: Efficient Method of Computing (Spin) Hall Conductances
• Theory of ferromagnetic (III,Mn)V semiconductors
• Intrinsic magnetic topological insulators in van der Waals layered MnBi${}_2$Te${}_4$-family materials
• Anomalous Hall effect in ferromagnetic semiconductors
• Topological axion states in magnetic insulator MnBi${}_2$Te${}_4$ with the quantized magnetoelectric effect
• Quantum anomalous Hall effect and related topological electronic states
• Phase Separation in Electronic Models for Manganites
• Theory of the topological Anderson insulator
• The development of ferromagnetism in the doped topological insulator Bi2-xMnxTe3
• Transport Properties of the Kondo Lattice Model in the Limit $S=\infty$ and $D=\infty$
• Interacting topological insulators: a review
• Absence of a Spin Liquid Phase in the Hubbard Model on the Honeycomb Lattice
• Weyl Metals
• Mott--Hubbard transition vs. Anderson localization of correlated, disordered electrons
• Simplified topological invariants for interacting insulators
• Disordered Topological Insulators via $C^{\ast }$-Algebras
• Correlation effects in two-dimensional topological insulators
• Disorder-Driven Non-Fermi Liquid Behavior of Correlated Electrons
• Topological Anderson Insulator in Three Dimensions
• Mean field theory of the Mott-Anderson transition
• Tailoring Magnetic Doping in the Topological Insulator Bi2Se3
• Stability, Electronic and Magnetic properties of magnetically doped topological insulators Bi2Se3, Bi2Te3 and Sb2Te3
• Spin Excitation Spectrum of La${}_{1-x}{A}_x$MnO${}_3$
• Disorder effects in diluted magnetic semiconductors
• Topological Insulators and C^*-Algebras: Theory and Numerical Practice
• Magnetic Transition Temperature of (La,Sr)MnO${}_3$
• The dependence of topological Anderson insulator on the type of disorder
• Interacting Dirac Fermions on Honeycomb Lattice
• Topological antiferromagnetic phase in a correlated Bernevig-Hughes-Zhang model
• Topological Insulator in the Presence of Spatially Correlated Disorder
• A phase diagram for a topological Kondo insulating system
• Dynamical mean-field studies of metal-insulator transitions
• Metal--Insulator Transitions in the Falicov--Kimball Model with Disorder
• Competing topological and Kondo insulator phases on a honeycomb lattice
• Probing surface states of topological insulator: Kondo effect and Friedel oscillation under magnetic field
• Interaction-Induced Topological and Magnetic Phases in the Hofstadter-Hubbard Model
• Topological invariant in three-dimensional band insulators with disorder
• Finite temperature semimetal-insulator transition on the honeycomb lattice
• Antiferromagnetic topological insulator state in the correlated Bernevig-Hughes-Zhang model
• Coexistence of metallic edge states and anti-ferromagnetic ordering in correlated topological insulators
• Charge-ordered ferromagnetic phase in manganites
• Doping change and distortion effect on double-exchange ferromagnetism
• Transport properties in Simplified Double Exchange model
• Ground state of a double-exchange system containing impurities: bounds of ferromagnetism
• Quantum phase transitions of topological insulators without gap closing
• Paramagnetic-ferromagnetic transition in a double-exchange model
• Disordered topological metals
• Metallic ferromagnetism-insulating charge order transition in doped manganites
• Spin dynamics in paramagnetic diluted magnetic semiconductors
• Topological quantum phase transition in Kane-Mele-Kondo lattice model

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