Anisotropic vortex structure in tilted magnetic fields in the spin triplett superconductor Sr$_{2}$RuO$_{4}$

Using a $\mu$SQUID microscope we imaged magnetic flux above the ab surface in the unconventional anisotropic superconductor Sr$_{2}$RuO$_{4}$, at temperatures between 0.4 K and 1.3 K and magnetic fields between 0 to 70 gauss at various angles. We observed vortex chains as well as coexistence of vortices and chains for tilted fields. The distance between the chains varies as 1/B. The mass anisotropy expressed as the ratio of the penetration depth ($\lambda_{c}/\lambda_{ab}$) is about 20 for Sr$_{2}$RuO$_{4}$, situating Sr$_{2}$RuO$_{4}$ in respect of anisotropy between YBCO and BSCCO. We'll discuss the different origins for vortex chain formation for these three superconductors. In the case of Sr$_{2}$RuO$_{4}$ we can successfully describe the ordering of the flux into vortex chains using Ginzburg-Landau theory.