A semiconductor structure is provided by a process in which two aspect ratio trapping processes are employed. The structure includes a semiconductor substrate portion of a first semiconductor material having a first lattice constant. A plurality of first semiconductor-containing pillar structures of a second semiconductor material having a second lattice constant that is greater than the first lattice constant extend upwards from a surface of the semiconductor substrate portion. A plurality of second semiconductor-containing pillar structures of a third semiconductor material having a third lattice constant that is greater than the first lattice constant extend upwards from another surface of the semiconductor substrate portion. A spacer separates each first semiconductor-containing pillar structure from each second semiconductor-containing pillar structure. Each second semiconductor-containing pillar structure has a width that is different from a width of each first semiconductor-containing pillar structure.