This invention provides methods for fabricating substantially continuous
layers of a group III
nitride semiconductor material having low defect densities and optionally having a selected
crystal polarity. The methods include epitaxial growth nucleating and / or seeding on the upper portions of a plurality of pillars / islands of a group III
nitride material that are irregularly arranged on a template structure. The upper portions of the islands have low defect densities and optionally have a selected
crystal polarity. The invention also includes template structures having a substantially continuous layer of a masking material through which emerge upper portions of the pillars / islands. The invention also includes such template structures. The invention can be applied to a wide range of
semiconductor materials, both elemental semiconductors, e.g., combinations of Si (
silicon) with strained Si (sSi) and / or Ge (
germanium), and compound semiconductors, e.g.,
group II-VI and group III-V
compound semiconductor materials.