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We report nuclear magnetic resonance measurements of the spin-1/2 anisotropictriangular lattice antiferromagnet Cs$_2$CuCl$_4$ as a function of temperatureand applied magnetic field. The observed temperature and magnetic fielddependence of the NMR relaxation rate suggests that low energy excitations inthe short-range ordered region stabilized over a wide range of intermediatefields and temperatures of the phase diagram are gapless or nearly gaplessfermionic excitations. An upper bound on the size of the gap of 0.037 meV$\approx J/10$ is established. The magnetization and NMR relaxation rate can bequalitatively described either by a quasi-1D picture of weakly coupled chains,or by mean-field theories of specific 2D spin liquids; however, quantitativedifferences exist between data and theory in both cases. This comparisonindicates that 2D interactions are quantitatively important in describing thelow-energy physics.

Nature of the low energy excitations in the short range ordered region of Cs$_2$CuCl$_4$ as revealed by $^{133}$Cs NMR