Anisotropic non-linear optical response of nodal loop materials

Abstract

Nodal line semimetals have lately aroused much experimental and theoretical interest, with their gap closing along unconventional trajectories in the 3D Brillouin zone. These trajectories or nodal lines can close into loops and trace out intricate knotted or linked configurations with complicated topologies. In this work, we investigate the semi-classical optical response of two nodal loops in linked, unlinked and touching configurations, focusing particularly on the interplay of response anisotropy and non-linearity. We provide a geometric picture that unifies these aspects and sheds light on the effects of nodal topology and geometry. Based on a model abstracted from generic multi nodal loop scenarios, both with or without linkages, our findings will be applicable for a large class of nodal semimetal materials with multiple nodal lines or loops.

17 figures, 24 pages

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Cited by in corpus (6)

• Topological Non-Hermitian skin effect
• Terahertz Polarization Conversion from Optical Dichroism in a Topological Dirac Semimetal
• Light-enhanced nonlinear Hall effect
• Nonlinear optical responses in nodal line semimetals
• Nonlinear Hall effects with an exceptional ring
• Time dependent electric transport in nodal-loop semimetals