Crossing-line-node semimetals: General theory and application to rare-earth trihydrides

Kobayashi, Shingo; Yamakawa, Youichi; Yamakage, Ai; Inohara, Takumi; Okamoto, Yoshio; Tanaka, Yukio

doi:10.1103/physrevb.95.245208

Cited by 46 publications

(36 citation statements)

References 116 publications

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“…Meanwhile our paper includes both the TNLs from the mirror symmetry and those from the π Berry phase, and therefore the target of our research is different from that of Ref. 64.…”

Section: Conclusion and Discussionmentioning

confidence: 97%

“…In this context, classification of possible patterns of their crossings and their evolution under the spin-orbit coupling was studied recently in Ref. 64. In Ref.…”

Section: Conclusion and Discussionmentioning

confidence: 99%

“…In Ref. 64 only the TNLs based on the mirror symmetry are discussed, and the main focus is on the crossings of the TNLs. Meanwhile our paper includes both the TNLs from the mirror symmetry and those from the π Berry phase, and therefore the target of our research is different from that of Ref.…”

Section: Conclusion and Discussionmentioning

confidence: 99%

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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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“…Meanwhile our paper includes both the TNLs from the mirror symmetry and those from the π Berry phase, and therefore the target of our research is different from that of Ref. 64.…”

Section: Conclusion and Discussionmentioning

confidence: 97%

“…In this context, classification of possible patterns of their crossings and their evolution under the spin-orbit coupling was studied recently in Ref. 64. In Ref.…”

Section: Conclusion and Discussionmentioning

confidence: 99%

See 1 more Smart Citation

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

Okugawa

Murakami

2017

Phys. Rev. B

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“…Furthermore, a hexagonal hydride, YH 3 , has a crossing-line nodes with N = 3, as shown in Ref. 33 . It is an interesting problem to search further materialization of crossing-line node semimetals.…”

Section: (C)mentioning

confidence: 88%

“…One is a loop node forming a nontrivial link such as the Hopf link [26][27][28][29] . The other is a crossing-line node, where several line nodes cross at a point [30][31][32][33][34][35] . Photoirradiation is a powerful tool to modify the band structure [36][37][38][39][40][41] .…”

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confidence: 99%

Photoinduced topological phase transition from a crossing-line nodal semimetal to a multiple-Weyl semimetal

Ezawa

2017

Phys. Rev. B

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We propose a simple scheme to construct a model whose Fermi surface is comprised of crossing-line nodes. The Hamiltonian consists of a normal hopping term and an additional term which is odd under the mirror reflection. The line nodes appear along the mirror-invariant planes, where each line node carries the quantized Berry magnetic flux. We explicitly construct a model with the N -fold rotational symmetry, where the 2N line nodes merge at the north and south poles. Photoirradiation induces a topological phase transition. When we apply photoirradiation along the kz axis, there emerge point nodes carrying the monopole charge ±N at these poles, while all the line nodes disappear. The resultant system describes anisotropic multiple-Weyl fermions.Introduction: Weyl semimetal is one of the hottest topics in condensed matter physics 1,2 . It is protected by a monopole charge in the momentum space 3 . Multiple Weyl semimetal is a generalization of a Weyl semimetal which has a monopole charge larger than the unit charge [4][5][6][7] .There exist another class of novel semimetals. They are line nodal semimetals whose Fermi surfaces form one-dimensional lines [8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25] . A line node is protected by a quantized Berry magnetic flux. Recently, line nodal semimetals are generalized into two species. One is a loop node forming a nontrivial link such as the Hopf link [26][27][28][29] . The other is a crossing-line node, where several line nodes cross at a point [30][31][32][33][34][35] . Photoirradiation is a powerful tool to modify the band structure [36][37][38][39][40][41] . According to the Floquet theory an additional term emerges due to the second-order process of photoirradiation. A typical example is the generation of a Weyl point from a Dirac semimetal [42][43][44][45] . It is shown that a Weyl node can also be generated by applying photoirradiation to a loop nodal semimetal 46,47 . In this paper, we first propose a simple scheme to construct models for crossing-line nodal semimetals. We then investigate how a crossing-line nodal semimetal is modified by way of photoirradiation. The model Hamiltonian consists of a normal hopping term and a mirror-odd interaction term. A line node emerges on the mirror-invariant plane. Each line node is topologically protected by the quantized Berry magnetic flux. Explicitly, we construct an N -fold rotational symmetric model, where the crossing of 2N -fold line nodes occurs at the north pole and also at the south pole. There are no magnetic monopoles at these poles. Next, we derive a photoinduced term based on the Floquet theory. It induces a topological phase transition. Indeed, by applying photoirradiation along the z direction, the Fermi surface is found to disappear by the emergence of gap except for two nodal points carrying the N (−N ) units of the monopole charge at the north (south) pole. The resultant system is the anisotropic N -fold multiple-Weyl semimetal. On the other hand, by applying photoirradiation perpendicu...

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Topological carbon materials: A new perspective

et al. 2020

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Crossing-line-node semimetals: General theory and application to rare-earth trihydrides

Cited by 46 publications

References 116 publications

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

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

Photoinduced topological phase transition from a crossing-line nodal semimetal to a multiple-Weyl semimetal

Topological carbon materials: A new perspective

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