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The search for elementary excitations with fractional quantum numbers is acentral challenge in modern condensed matter physics. We explore thepossibility in a realistic model for several materials, the spin-1/2 spatiallyanisotropic frustrated Heisenberg antiferromagnet in two dimensions. Byrestricting the Hilbert space to that expressed by exact eigenstates of theHeisenberg chain, we derive an effective Schr\"odinger equation valid in theweak interchain-coupling regime. The dynamical spin correlations from thisapproach agree quantitatively with inelastic neutron measurements on thetriangular antiferromagnet Cs_2CuCl_4. The spectral features in suchantiferromagnets can be attributed to two types of excitations: descendents ofone-dimensional spinons of individual chains, and coherently propagating"triplon" bound states of spinon pairs. We argue that triplons are genericfeatures of spatially anisotropic frustrated antiferromagnets, and arisebecause the bound spinon pair lowers its kinetic energy by propagating betweenchains.

Spinons and triplons in spatially anisotropic frustrated antiferromagnets