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Short-gate length epitaxial Si1-xGex/Si multi-(core/shell) p-type nanowire (NW) transistors with high-permittivity dielectric and metal gate were fabricated and their electrical properties examined. Silicon NWs were first of all patterned in ultrathin silicon-on-insulator wafers by lithography and etching. Selective epitaxial growth of Si0.7Ge0.3/Si or Si0.7Ge0.3/Si/Si0.7Ge0.3/Si shells was then performed around the Si NW core. Electrical transport measurements showed a hole mobility improvement up to 100% in Si0.7Ge0.3/Si/Si0.7Ge0.3/Si core/shell NWs (70% in wide planar devices) compared with p-type Si reference field effect transistors (FETs). Finally, a drive current enhancement of 60% compared with reference Si-channel devices was evidenced in multi-(core/shell) p-FET NWs scaled down to 15-nm gate length.