Structural and magnetic properties of the single-layer manganese oxide   La{1-x}Sr{1+x}MnO4
  Using x-ray and neutron scattering, we have studied the structural and magnetic properties of the single-layer manganite La{1-x}Sr{1+x}MnO4 (0 < x < 0.7). Single crystals were grown by the traveling-solvent floating-zone method at 18 La/Sr concentrations. The low-temperature phase diagram can be understood by considering the strong coupling of the magnetic and orbital degrees of freedom, and it can be divided into three distinct regions: low (x < 0.12), intermediate (0.12< x < 0.45), and high (x > 0.45) doping. LaSrMnO_4 (x=0) is an antiferromagnetic Mott insulator,and its spin-wave spectrum is well-described by linear spin-wave theory for the spin-2 square-lattice Heisenberg Hamiltonian with Ising anisotropy. Upon doping, as the e_g electron concentration (1-x) decreases, both the two-dimensional antiferromagnetic spin correlations in the paramagnetic phase and the low-temperature ordered moment decrease due to an increase of frustrating interactions, and Neel order disappears above xc = 0.115(10). In the intermediate region, there exists neither long-range magnetic nor superstructural order. Short-range-correlated structural "nanopatches" begin to form above x ~ 0.25. At high doping (x > 0.45), the ground state of La{1-x}Sr{1+x}MnO4 exhibits long-range superstructural order and a complex (CE-type) antiferromagnetic order which differs from that at low doping. The superstructural order is thought to arise from charge and orbital ordering on the Mn sites. For x > 0.50, the superstructural order becomes incommensurate with the lattice, with a modulation wavevector that depends linearly on the e_g electron concentration. On the other hand, the magnetic order remains commensurate, but loses its long-range coherence upon doping beyond x = 0.50. 
S. Larochelle, A. Mehta, L. Lu, P. K. Mang, O. P. Vajk, N. Kaneko, J.   W. Lynn, L. Zhou, M. Greven