Evolution of the single-hole spectral function across a quantum phase transition in the anisotropic-triangular-lattice antiferromagnet

We study the evolution of the single-hole spectral function when the ground state of the anisotropic-triangular-lattice antiferromagnet changes from the incommensurate magnetically ordered phase to the spin-liquid state. In order to describe both of the ground states on equal footing, we use the large-N approach where the transition between these two phases can be obtained by controlling the quantum fluctuations via an "effective" spin magnitude. Adding a hole into these ground states is described by a t-J-type model in the slave-fermion representation. Implications of our results to possible future angle-resolved photoelectron spectroscopy experiments on insulating frustrated magnets, especially Cs2CuCl4, are discussed.