Power-law Conductivity inside the Mott gap: application to $\kappa -(BEDT-TTF{)}_{2}C{u}_2(CN{)}_3$

Abstract

The charge dynamics of spin-liquid states described by U(1) gauge theory coupling to fermionic spinons is discussed in this paper. We find that the gapless spinons give rise to a power law optical conductivity inside the charge gap. The theory is applied to explain the unusual optical conductivity observed recently in the organic compound $\kappa -(BEDT-TTF{)}_{2}C{u}_2(CN{)}_3$. We also propose an optical experiment to search for the in-gap excitations in the Kagome spin liquid insulator.

arXiv comment10 pages, 2 figures

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