Topological hinge modes in Dirac semimetals

Zeng, Xu-Tao; Chen, Ziyu; Chen, Cong; Liu, Binbin; Sheng, Xian‐Lei; Yang, Shengyuan A.

doi:10.1007/s11467-022-1221-y

Cited by 12 publications

(10 citation statements)

References 57 publications

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“…HOTPs in both 2Ds [57,58,61, and 3Ds [38,56,64,113,[346][347][348][349] have been predicted to exist in a bunch of solid state materials. Several classes of materials host multiple candidates for HOTIs in 2Ds, including hexagonal group-IV hydrides and halides (XY material with X = C, Si, Ge, Sn and Y = H, F, Cl) [328], hexagonal group-V materials (P, As and Sb) [316,319,324,328,336], Kekulé and anti-Kekulé group-IV materials (C, Si, Ge, Sn) [328], ferroelectric materials (e.g.…”

Section: Solid State Materialsmentioning

confidence: 99%

“…Antiperovskites such as Ca 3 SnO and Ca 3 PbO [347], distorted SnTe [38], MoTe 2 [113], WTe 2 [113] and La apatite [348] are possibly 3D HOTIs carrying helical hinge states. Besides, MnBi 2n Te 3n+1 is predicted to be a 3D higher-order Möbius insulator [64] and β-CuI is a candidate for higher-order Dirac semimetals [349]. For experimental aspects, HOTPs have only been found in a few solid state materials.…”

Section: Solid State Materialsmentioning

confidence: 99%

See 1 more Smart Citation

Higher-order topological phases in crystalline and non-crystalline systems: a review

Yang,

Wang,

et al. 2024

J. Phys.: Condens. Matter

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In recent years, higher-order topological phases have attracted great interest in various fields of physics. These phases have protected boundary states at lower-dimensional boundaries than the conventional first-order topological phases due to the higher-order bulk-boundary correspondence. In this review, we summarize current research progress on higher-order topological phases in both crystalline and non-crystalline systems. We firstly introduce prototypical models of higher-order topological phases in crystals and their topological characterizations. We then discuss effects of quenched disorder on higher-order topology and demonstrate disorder-induced higher-order topological insulators. We also review the theoretical studies on higher-order topological insulators in amorphous systems without any crystalline symmetry and higher-order topological phases in non-periodic lattices including quasicrystals, hyperbolic lattices, and fractals, which have no crystalline counterparts. We conclude the review by a summary of experimental realizations of higher-order topological phases and discussions on potential directions for future study.

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Section: Solid State Materialsmentioning

confidence: 99%

Section: Solid State Materialsmentioning

confidence: 99%

Higher-order topological phases in crystalline and non-crystalline systems: a review

Yang,

Wang,

et al. 2024

J. Phys.: Condens. Matter

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“…Different from topological insulators, TSMs are typically gapless since they host band touching/crossing in the bulk bands, as encountered with 3D Dirac or Weyl points. In particular, higher-order topological semimetal (HOTSM) phases in 3D structures have been predicted and experimentally realized in acoustic, electric circuits and photonic systems, featuring for example, 1D hinge states. − However, previous experimental studies of HOTSMs have mostly been carried out using 3D platforms, focusing on exploring the HOTSM phases in 3D gapless systems. To the best of our knowledge, zero-dimensional corner states have thus far not been realized in any 2D TSM-like gapless systems.…”

Section: Introductionmentioning

confidence: 99%

Realization of Topological Corner States in Tailored Photonic Graphene

Xie,

Yan,

Xia

et al. 2024

ACS Photonics

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Higher-order topological semimetals (HOTSMs) represent a novel type of gapless topological phase, hosting boundary states with dimensions at least two lower than those of their bulk geometry. Such nontrivial boundary states have been predicted and observed in three-dimensional (3D) gapless topological systems, representing features of the HOTSMs. However, their two-dimensional (2D) analogs, represented especially by the corner states in monolayer graphene-like structures, have thus far remained only a theoretical exploration. Here, we experimentally demonstrate nontrivial corner states in specially tailored photonic graphene hosting Dirac points, manifesting the HOTSM-like property in a 2D photonic setting. Such corner states in the otherwise gapless system exhibit distinct phase structures depending on the lattice corner and edge geometry, and are completely degenerate with the zero-energy edge states. Remarkably, we find that these "gapless" corner states remain intact at zero-energy even in a finite-sized graphene lattice, protected by chiral symmetry. Unlike corner states in higher-order topological insulators or topological crystalline insulators with certain rotational symmetry, these corner states are localized exclusively to one corner without any coupling to the bulk or other corners, despite longdistance propagation.

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“…These topological DSMs demonstrate 1D hinge Fermi arc states that terminate on the projection of Dirac nodes, which are dubbed higher-order DSMs. [10][11][12][13][14][15] Floquet engineering [16][17][18] has emerged as a powerful tool for realizing novel topological phases in quantum materials. It involves using time-periodic perturbations, such as light, to tailor band structures and topology of the quantum materials.…”

Section: Introductionmentioning

confidence: 99%

Photoinduced Floquet higher-order Weyl semimetal in C₆ symmetric Dirac semimetals

Xu 许,

Wang 王,

Xu 许

et al. 2024

Chinese Phys. B

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Topological Dirac semimetals are a parent state from which other exotic topological phases of matter, such as Weyl semimetals and topological insulators, can emerge. In this study, we investigate a Dirac semimetal possessing sixfold rotational symmetry and hosting higher-order topological hinge Fermi arc states, which is irradiated by circularly polarized light. Our findings reveal that circularly polarized light splits each Dirac node into a pair of Weyl nodes due to the breaking of time-reversal symmetry, resulting in the realization of the Weyl semimetal phase. This Weyl semimetal phase exhibits rich boundary states, including two-dimensional surface Fermi arc states and hinge Fermi arc states confined to six hinges. Furthermore, by adjusting the incident direction of the circularly polarized light, we can control the degree of tilt of the resulting Weyl cones, enabling the realization of different types of Weyl semimetals.

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Topological hinge modes in Dirac semimetals

Cited by 12 publications

References 57 publications

Higher-order topological phases in crystalline and non-crystalline systems: a review

Higher-order topological phases in crystalline and non-crystalline systems: a review

Realization of Topological Corner States in Tailored Photonic Graphene

Photoinduced Floquet higher-order Weyl semimetal in C₆ symmetric Dirac semimetals

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Topological hinge modes in Dirac semimetals

Cited by 12 publications

References 57 publications

Higher-order topological phases in crystalline and non-crystalline systems: a review

Higher-order topological phases in crystalline and non-crystalline systems: a review

Realization of Topological Corner States in Tailored Photonic Graphene

Photoinduced Floquet higher-order Weyl semimetal in C6 symmetric Dirac semimetals

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Product

Resources

About

Photoinduced Floquet higher-order Weyl semimetal in C₆ symmetric Dirac semimetals