Triple Point Topological Metals

Zhu, Ziming; Winkler, Georg; Wu, Quansheng; Li, Ju; Soluyanov, Alexey A.

doi:10.1103/physrevx.6.031003

Cited by 410 publications

(488 citation statements)

References 72 publications

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“…Particularly, the Dirac-cone surface state associated with the FNR should be readily detected. As for the TNPs, previous works have shown that under magnetic field, there appears anomalous chiral Landau levels [35][36][37] . This should manifest in magneto-transport experiment as unusual field-dependent magneto-resistance, when both E and B fields are along the z-direction (c-axis).…”

Section: Discussionmentioning

confidence: 99%

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Coexistence of four-band nodal rings and triply degenerate nodal points in centrosymmetric metal diborides

et al. 2017

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Topological metals with protected band-crossing points have been attracting great interest. Here we report novel topological band features in a family of metal diboride materials. Using firstprinciples calculations, we show that these materials are metallic, and close to Fermi level, there appears coexistence of one pair of nodal rings and one pair of triply-degenerate nodal points (TNPs). The nodal ring here is distinct from the previously studied ones in that its formation requires four entangled bands, not just two as in previous cases, hence it is termed as a four-band nodal ring (FNR). Remarkably, we show that FNR features Dirac-cone-like surface states, in contrast to the usual drumhead surface states for two-band nodal rings. Due to the presence of inversion symmetry, the TNP here is also different from those discussed previously in inversion-asymmetric systems. Especially, when spin-orbit coupling is included, the TNP here transforms into a novel Dirac point that is close to the borderline between the type-I and type-II Dirac point categories. We discuss their respective symmetry protections, and construct effective models for their characterization. The large linear energy range (> 2 eV) in these materials should facilitate the experimental detection of the signatures of these nontrivial band crossings.

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Section: Discussionmentioning

confidence: 99%

“…This model describes the low-energy quasiparticle excitations around the TNP. TNPs were also reported in a few non-centrosymmetric materials [35][36][37] . The TNPs identified here share similar features as those examples.…”

Section: B Triply-degenerate Nodal Pointmentioning

confidence: 92%

Coexistence of four-band nodal rings and triply degenerate nodal points in centrosymmetric metal diborides

et al. 2017

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“…Along a circle enclosing any of these four nodal lines, the accumulated Berry phase is found to be π. This type of semi-metal phase is known as type-B TPSM phase 57 .…”

Section: Triple Point Semimetal Phasementioning

confidence: 99%

Model Hamiltonian and time reversal breaking topological phases of antiferromagnetic half-Heusler materials

Yan

Liu

2017

Phys. Rev. B

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In this work, we construct a generalized Kane model with a new coupling term between itinerant electron spins and local magnetic moments of anti-ferromagnetic ordering in order to describe the low energy effective physics in a large family of anti-ferromagnetic half-Heusler materials. Topological properties of this generalized Kane model is studied and a large variety of topological phases, including Dirac semimetal phase, Weyl semimetal phase, nodal line semimetal phase, type-B triple point semimetal phase, topological mirror (or glide) insulating phase and anti-ferromagnetic topological insulating phase, are identified in different parameter regions of our effective models. In particular, we find that the system is always driven into the anti-ferromagnetic topological insulator phase once a bulk band gap is open, irrespective of the magnetic moment direction, thus providing a robust realization of anti-ferromagentic topological insulators. Furthermore, we discuss the possible realization of these topological phases in realistic anti-ferromagnetic half-Heusler materials. Our effective model provides a basis for the future study of physical phenomena in this class of materials.

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“…The topological Dirac semimetals can be obtained in systems with time-reversal (TR) and inversion (I) symmetries, and have Dirac nodes with fourfold degeneracy. Moreover, recent works propose new topological semimetals whose band crossings lie on symmetry points with high-dimensional irreducible representations [10][11][12][13] . On the other hand, a novel topological semimetal appears in spinless systems with TR-and I symmetries.…”

Section: Introductionmentioning

confidence: 99%

Universal phase transition and band structures for spinless nodal-line and Weyl semimetals

Okugawa

Murakami

2017

Phys. Rev. B

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We study a general phase transition between spinless topological nodal-line semimetal and Weyl semimetal phases. We classify topological nodal lines into two types based on their positions and shapes, and their phase transitions depends on their types. We show that a topological nodalline semimetal becomes the Weyl semimetal by breaking time-reversal symmetry when the nodal lines enclose time-reversal invariant momenta (type-A nodal lines). We also discuss an effect of crystallographic symmetries determining the band structure of the topological nodal-line semimetals. Thanks to protection by the symmetries, the topological nodal-line semimetals can transition into spinless Weyl semimetals or maintain the nodal lines in many crystals after inversion symmetry is broken.

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Triple Point Topological Metals

Cited by 410 publications

References 72 publications

Coexistence of four-band nodal rings and triply degenerate nodal points in centrosymmetric metal diborides

Coexistence of four-band nodal rings and triply degenerate nodal points in centrosymmetric metal diborides

Model Hamiltonian and time reversal breaking topological phases of antiferromagnetic half-Heusler materials

Universal phase transition and band structures for spinless nodal-line and Weyl semimetals

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