Perfect Domain-Lattice Matching Between MgB2 and Al2O3: Single-Crystal MgB2 Thin Films Grown on Sapphire

We have found that single-crystal films can be grown on (0001) Al2O3 substrates through the golden relation of a perfect lattice-matching ratio (8:3√3) between the a-axis lattice constants of MgB2 and Al2O3. Selected-area electron diffraction patterns evidently indicate hexagonal MgB2 film with a 30° in-plane rotation with respect to the Al2O3 substrate. The critical current density at zero field is comparable to the depairing critical current density and rapidly decreases with increasing applied field owing to the lack of pinning sites, as observed for high-quality MgB2 single crystals.