We apply the hydrodynamic theory of electron liquid to demonstrate that acircularly polarized radiation induces the diamagnetic, helicity-sensitive dccurrent in a ballistic nanoring. This current is dramatically enhanced in thevicinity of plasmonic resonances. The resulting magnetic moment of the nanoringrepresents a giant increase of the inverse Faraday effect. With increasingradiation intensity, linear plasmonic excitations evolve into the stronglynon-linear plasma shock waves. These excitations produce a series of the wellresolved peaks at the THz frequencies. We demonstrate that the plasmonic wavedispersion transforms the shock waves into solitons. The predicted effectsshould enable multiple applications in a wide frequency range (from themicrowave to terahertz band) using optically controlled ultra low losselectric, photonic and magnetic devices.
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