Nonlinear optical conductivity of $U(1)$ spin liquids with large spinon Fermi surfaces

Abstract

In this paper we study the nonlinear current response of $U(1)$ spin liquids with large spinon Fermi surfaces under the perturbation of a time-dependent ac electric field $\mathbf{E}(t)$ within the framework of an effective $U(1)$ gauge theory. In particular, the third-order nonlinear current response to ac electric fields is derived. We show that as in the case of linear current response, an in-gap power-law ($\sim {\omega }^{\eta }$) response is found for the nonlinear current at low frequency. The nonlinear susceptibility may also induce through process of third harmonic generation propagating EM wave with frequency $3\omega$ inside the spin liquids.

5 pages, 2 figures

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Cited by in corpus (1)

• Magnetic terahertz resonances above the Néel temperature in the frustrated kagome antiferromagnet averievite