The low-energy magnetic excitation from the highly Ca-doped quasi-one-dimensional magnet SrCa 13 Cu 24 O 41 was studied in the magnetic ordered state by using inelastic neutron scattering. We observed the gapless spin-wave excitation, dispersive along the a and c axes but nondispersive along the b axis. Such excitations are attributed to the spin wave from the spin-chain sublattice. Model fitting to the experimental data gives the nearest-neighbour interaction J c as 5.4 meV and the interchain interaction J a = 4.4 meV. J c is antiferromagnetic and its value is close to the nearestneighbour interactions of the similar edge-sharing spin-chain systems such as CuGeO 3 . Comparing with the hole-doped spin chains in Sr 14 Cu 24 O 41 , which shows a spin gap due to spin dimers formed around Zhang-Rice singlets, the chains in SrCa 13 Cu 24 O 41 show a gapless excitation in this study. We ascribe such a change from gapped to gapless excitations to holes transferring away from the chain sublattice into the ladder sublattice upon Ca doping.
IntroductionThe dimensionality of a spin system is one of the most important characters for its underlying physics. Most of the three-dimensional (3D) Heisenberg magnetic systems can be well described by the linear spin-wave theory (LSWT), which was developed decades ago 1 . Upon reducing a magnetic system from 3D to two or one dimensions (2D or 1D), quantum fluctuations will be substantially enhanced, which consequently results in various intriguing and exotic physical phenomena. 2 The theoretical work by Bethe more than 80 years ago predicted that the S = ½ antiferromagnetic Heisenberg chain cannot form a long-range magnetic ordering due to strong quantum fluctuations. 3 A domain-wall-like spin excitation called "spinon" was proposed later, which has been experimentally confirmed in various real magnetic systems. Unfortunately, except for the S = ½ spinchain case, no exact analytical solution like Bethe's work has been developed for other 1D antiferromagnetic Heisenberg spin systems. However, numerical methods were widely employed to study the ground states of more complicated 1D systems, 4 such as 1D spin chains with S > ½ and spin ladders with even/odd legs 5 , and successfully predicted their ground state and dynamic behaviours.As the simplest case of a 1D spin system, Cu 2+ (S = ½) spin chains are extensively investigated due to their close relationship with the cuprate high-temperature superconductors. 5 CuO 2 chains can be divided into two classes, corner-sharing spin chains and the edge-sharing spin chains. The former are building blocks of cuprate superconductors and spin ladders. In corner-sharing CuO 2 chains, the exchange interaction between the nearest neighbours (NN) comes from the super-exchange through the ~180 o Cu-O-Cu pathway. 6 Such an interaction is experimentally demonstrated to be quite strong, ranging from 100 meV to 160 meV. 7 In contrast, the NN exchange interaction along edge-sharing spin chains is much weaker due to the ~90 o Cu-O-Cu pathway. [8][9][10] The...