Magnetic states in a three-dimensional topological Kondo insulator

Peters, Robert; Yoshida, Tsuneya; Kawakami, Norio

doi:10.1103/physrevb.98.075104

Cited by 22 publications

(20 citation statements)

References 66 publications

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“…Though our work is based on an uniform mean-field approximation, any site-dependent treatment will not break the application of Z 2 classification of both PM and AF states. 14,17 We hope our work can help to reach a comprehensive understanding of novel AFTI phases in strongly correlated electrons systems.…”

mentioning

confidence: 98%

Magnetic and topological transitions in three-dimensional topological Kondo insulator

Wang

Zheng

et al. 2018

Chinese Phys. Lett.

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By using an extended slave-boson method, we draw a global phase diagram summarizing both magnetic phases and paramagnetic (PM) topological insulating phases (TIs) in three-dimensional topological Kondo insulator (TKI). By including electron hopping (EH) up to third neighbor, we identify four strong topological insulating (STI) phases and two weak topological insulating (WTI) phases, then the PM phase diagrams characterizing topological transitions between these TIs are depicted as functions of EH, f -electron energy level and hybridization constant. We also find an insulator-metal transition from a STI phase which has surface Fermi rings and spin textures in qualitative agreement to TKI candidate SmB6. In weak hybridization regime, antiferromagnetic (AF) order naturally arises in the phase diagrams, and depending on how the magnetic boundary crosses the PM topological transition lines, AF phases are classified into AF topological insulator (AFTI) and non-topological AF insulator (nAFI), according to their Z2 indices. In two small regions of parameter space, two distinct topological transition processes between AF phases occur, leading to two types of AFTI, showing distinguishable surface dispersions around their Dirac points.

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confidence: 98%

Magnetic and topological transitions in three-dimensional topological Kondo insulator

Wang

Zheng

et al. 2018

Chinese Phys. Lett.

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“…The present topological classification for AF states is based on the S-symmetry, actually, for AF states possess other symmetry, e.g., mirror symmetry or reflection symmetry, AF states can be classified by different algebras. 46,55 In Tab. III, we present a brief description of some related works on TKI in literature and compare them with our work.…”

Section: Conclusion and Discussionmentioning

confidence: 99%

$\mathcal{Z}_2$ classification for a novel antiferromagnetic topological insulating phase in three-dimensional topological Kondo insulator

Zhong

Liu

et al. 2018

J. Phys.: Condens. Matter

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Antiferromagnetic topological insulator (AFTI) is a topological matter that breaks time-reversal symmetry. Since its proposal, explorations of AFTI in strong-correlated systems are still lacking. In this paper, we show for the first time that a novel AFTI phase can be realized in three-dimensional topological Kondo insulator (TKI). In a wide parameter region, the ground states of TKI undergo a second-order transition to antiferromagnetic insulating phases which conserve a combined symmetry of time reversal and a lattice translation, allowing us to derive a [Formula: see text]-classification formula for these states. By calculating the [Formula: see text] index, the antiferromagnetic insulating states are classified into AFTI or non-topological antiferromagnetic insulator (nAFI) in different parameter regions. On the antiferromagnetic surfaces in AFTI, we find topologically protected gapless Dirac cones inside the bulk gap, leading to metallic Fermi rings exhibiting helical spin texture with weak spin-momentum locking. Depending on model parameters, the magnetic transitions take place either between AFTI and strong topological insulator, or between nAFI and weak topological insulator. By varying some model parameters, we find a topological transition between AFTI and nAFI, driving by closing of bulk gap. Our work may account for the pressure-induced magnetism in TKI compound SmB, and helps to explore richer AFTI phases in heavy-fermion systems as well as in other strong-correlated systems.

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“…In three dimensions, the Berry phase is associated with the Wyckoff positions of the crystal and the Brillouin zone [61], and, as such, it cannot be derived by the pure form of the DMFT. k-dependent information can be derived by so-called real-space or cluster DMFT solutions (R-DMFT or CDMFT) [72][73][74][75]; however, they have not been generalized to the non-equilibrium for three-dimensional systems. It is important to note that the system out of equilibrium acquires a non-zero Berry phase and Coulomb interactions lead to a Mott-type gap that closes due to the superposition by crossing Floquet bands; however, the opening of non-equilibrium induced Mott-gap replica can also be found for Ω L = 0.95 eV.…”

Section: Development and Lifetimes Of Floquet Topological Quantum Stamentioning

confidence: 99%

Behavior of Floquet Topological Quantum States in Optically Driven Semiconductors

Lubatsch

Frank

2019

Symmetry

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Spatially uniform optical excitations can induce Floquet topological band structures within insulators which can develop similar or equal characteristics as are known from three-dimensional topological insulators. We derive in this article theoretically the development of Floquet topological quantum states for electromagnetically driven semiconductor bulk matter and we present results for the lifetime of these states and their occupation in the non-equilibrium. The direct physical impact of the mathematical precision of the Floquet-Keldysh theory is evident when we solve the driven system of a generalized Hubbard model with our framework of dynamical mean field theory (DMFT) in the non-equilibrium for a case of ZnO. The physical consequences of the topological non-equilibrium effects in our results for correlated systems are explained with their impact on optoelectronic applications.

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Magnetic states in a three-dimensional topological Kondo insulator

Cited by 22 publications

References 66 publications

Magnetic and topological transitions in three-dimensional topological Kondo insulator

Magnetic and topological transitions in three-dimensional topological Kondo insulator

$\mathcal{Z}_2$ classification for a novel antiferromagnetic topological insulating phase in three-dimensional topological Kondo insulator

Behavior of Floquet Topological Quantum States in Optically Driven Semiconductors

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