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We investigate the supersymmetry (SUSY) structures for inductor-capacitorcircuit networks on a simple regular graph and its line graph. We show thattheir eigenspectra must coincide (except, possibly, for the highesteigenfrequency) due to SUSY, which is derived from the topological nature ofthe circuits. To observe this spectra correspondence in the high-frequencyrange, we study spoof plasmons on metallic hexagonal and kagom\'e lattices. Theband correspondence between them is predicted by a simulation. Using terahertztime-domain spectroscopy, we demonstrate the band correspondence of fabricatedmetallic hexagonal and kagom\'e lattices.

Supersymmetric correspondence in spectra on a graph and its line graph: From circuit theory to spoof plasmons on metallic lattices