Topological insulating phases from two-dimensional nodal loop semimetals

Abstract

Starting from a minimal model for a 2D nodal loop semimetal, we study the effect of chiral mass gap terms. The resulting Dirac loop anomalous Hall insulator's Chern number is the phase winding number of the mass gap terms on the loop. We provide simple lattice models, analyze the topological phases and generalize a previous index characterizing topological transitions. The responses of the Dirac loop anomalous Hall and quantum spin Hall insulators to a magnetic field's vector potential are also studied both in weak and strong field regimes, as well as the edge states in a ribbon geometry.

7 pages, 6 figures

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Cited by in corpus (14)

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• Discovery of two-dimensional Dirac nodal line fermions in monolayer Cu2Si
• Prediction of two-dimensional nodal-line semimetal in a carbon nitride covalent network
• Transport and optics at the node in a nodal loop semimetal
• Optical conductivity of three and two dimensional topological nodal line semimetals
• Generating quantum multi-criticality in topological insulators by periodic driving
• Topological classification of Higher-order topological phases with nested band inversion surfaces
• Quench dynamics and scaling laws in topological nodal loop semimetals
• Engineering topological phases with a three-dimensional nodal-loop semimetal
• $2\pi$-flux loop semimetals
• Chiral topological insulating phases from three-dimensional nodal loop semimetals
• Characterization of Lifshitz transitions in topological nodal line semimetals
• Delocalization of topological surface states by diagonal disorder in nodal loop semimetals
• Quantum Hall effect and optical magneto-conductivity of two-dimensional topological nodal-line semimetals