Measuring the Penetration Depth Anisotropy in MgB${}_2$ using Small-Angle Neutron Scattering

Using small-angle neutron scattering we have measured the misalignment between an applied field of 4 kOe and the flux-line lattice in MgB${}_2$, as the field is rotated away from the c axis by an angle $\theta$. The measurements, performed at 4.9 K, showed the vortices canting towards the c axis for all field orientations. Using a two-band/two-gap model to calculate the magnetization we are able to fit our results yielding a penetration depth anisotropy, $\text{glam}=1.1\pm 0.1$.