$2\pi$-flux loop semimetals

Abstract

We introduce a model of $2\pi$-flux loop semimetals which holds nodal loops described by a winding number $\nu =2$. By adding some extra terms, this model can be transformed into a recently discovered Hopf-link semimetal, and the symmetries distinguishing these two phases are studied. We also propose a simpler physical implementation of $2\pi$-flux loops and of the Hopf-link semimetals which only involves nearest-neighbor hoppings, although in the presence of spin-orbit interaction. Finally, we investigate the Floquet properties of the $2\pi$-flux loop, and find that such a loop may be driven into two separated $\pi$-flux loops or four Weyl points by light with circular polarization in certain directions.

arXiv comment5 pages, 5 figures

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• Realistic Floquet semimetal with exotic topological linkages between arbitrarily many nodal loops
• Boundary states of 4D topological matter: Emergence and full 3D-imaging of nodal Seifert surfaces
• Generating quantum multi-criticality in topological insulators by periodic driving
• Unifying topological phase transitions in noninteracting, interacting, and periodically driven systems
• Hopf-chain networks evolved from triple points
• Engineering topological phases with a three-dimensional nodal-loop semimetal
• Photonic Dirac Nodal Line Semimetals Realized by Hyper-crystal
• Generalized Exact Holographic Mapping with Wavelets
• Possible instabilities in quadratic and cubic nodal line fermion systems with correlated interactions
• Characterization of Lifshitz transitions in topological nodal line semimetals
• Electronic properties of graphyne-$N$ monolayer and its multilayer: even-odd effect and topological nodal line semimetalic phases