2017
DOI: 10.1103/physrevb.96.041103
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Nodal-link semimetals

Abstract: In topological semimetals, the valence band and conduction band meet at zero-dimensional nodal points or one-dimensional nodal rings, which are protected by band topology and symmetries. In this Rapid Communication, we introduce "nodal-link semimetals", which host linked nodal rings in the Brillouin zone. We put forward a general recipe based on the Hopf map for constructing models of nodal-link semimetal. The consequences of nodal ring linking in the Landau levels and Floquet properties are investigated.

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Cited by 292 publications
(218 citation statements)
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“…While the former class includes topological insulators and superconductors, but also quantum Hall states [5][6][7], the latter class concerns topological semimetals (e.g. Weyl, Dirac and nodal-line semimetals), which have been intensively investigated in the recent years [8][9][10][11][12][13][14][15][16][17][18]; besides, topological phases with nodal surfaces have also been theoretically proposed [19][20][21][22][23]. These gapless systems can display remarkable properties, such as Fermi arcs or drumhead surface states on the boundaries, and momentum-space Dirac monopoles in the bulk.…”
mentioning
confidence: 99%
“…While the former class includes topological insulators and superconductors, but also quantum Hall states [5][6][7], the latter class concerns topological semimetals (e.g. Weyl, Dirac and nodal-line semimetals), which have been intensively investigated in the recent years [8][9][10][11][12][13][14][15][16][17][18]; besides, topological phases with nodal surfaces have also been theoretically proposed [19][20][21][22][23]. These gapless systems can display remarkable properties, such as Fermi arcs or drumhead surface states on the boundaries, and momentum-space Dirac monopoles in the bulk.…”
mentioning
confidence: 99%
“…For example, entanglement has been realized in experiments with microscopic systems including atoms [7][8][9], ions [10,11] and photons [12,13]. For macroscopic systems, entanglement between an optical field and a macroscopic vibrating mirror has been shown to be generated by radiation pressure [14][15][16][17][18][19][20][21]. Meanwhile, entanglement between different mechanical oscillators has also been studied in various optomechanical systems [22][23][24][25][26][27].…”
Section: Introductionmentioning
confidence: 99%
“…As for NLSMs, their band crossing points either take the form of an extended line running across the BZ, whose ends meet at the BZ boundary, or wind into a closed loop inside the BZ, or even form a chain consisting of several connected loops (nodal chain) [34,35]. There are also nodal net semimetals [36], nodal-link semimetals [37], and nodal-knot semimetals [38] proposed theoretically. So far, three types of symmetry protected mechanisms for NLSMs have been proposed: (i) mirror reflection symmetry protected NSLMs [39,40]; (ii) NLSMs derives from combined protection of time reversal symmetry and space inversion symmetry [22,23,[41][42][43][44][45][46]; (iii) NLSMs determined by non-symmorphic space group with glide plane or screw axes symmetries [27,47].…”
Section: Introductionmentioning
confidence: 99%