2020
DOI: 10.1088/2399-6528/ab983c
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Generating Weyl nodes in non-centrosymmetric cubic crystal structures

Abstract: Weyl nodes are band degeneracy points with relativistic dispersion and topological properties arising in certain three-dimensional periodic systems with broken parity-time symmetry. Despite their fundamental importance, the intrinsic accidental nature of Weyl nodes makes the general endeavor of finding them a challenging task. In this work, we show how Weyl nodes can be generated in cubic crystal structures with a single orbital per site based on a systematic approach that combines a tightbinding analysis with… Show more

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Cited by 4 publications
(2 citation statements)
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References 65 publications
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“…The discrete lattice model that embodies the photonic Weyl environment is given, for definiteness, by a generalization of the proposal described in ( 48 ), which we design to break inversion and time-reversal symmetries. However, we expect that the conclusions that we derive from this model can be extended to any tight-binding scheme featuring similar dispersive properties, particularly to those hosting a prototypical type I semimetallic phase ( 49 51 ). Furthermore, even if some tilting of the Weyl cones is assumed, the local character of the light-matter coupling might preclude the photonic excitation from leaking into the bulk modes, thereby enabling the generalization of the obtained results to this class of systems too.…”
Section: Resultsmentioning
confidence: 82%
“…The discrete lattice model that embodies the photonic Weyl environment is given, for definiteness, by a generalization of the proposal described in ( 48 ), which we design to break inversion and time-reversal symmetries. However, we expect that the conclusions that we derive from this model can be extended to any tight-binding scheme featuring similar dispersive properties, particularly to those hosting a prototypical type I semimetallic phase ( 49 51 ). Furthermore, even if some tilting of the Weyl cones is assumed, the local character of the light-matter coupling might preclude the photonic excitation from leaking into the bulk modes, thereby enabling the generalization of the obtained results to this class of systems too.…”
Section: Resultsmentioning
confidence: 82%
“…[72], which we design to break inversion and time-reversal symmetries. However, we expect that the conclusions we derive from this model can be extended to any tight-binding scheme featuring similar dispersive properties, particularly to those hosting a prototypical type I semimetallic phase [73][74][75].…”
Section: B Tailoring the Weyl Environmentmentioning
confidence: 86%