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We review recent experimental measurements of the Fermi surface of theiron-pnictide superconductor LaFePO using quantum oscillation techniques. Thesestudies show that the Fermi surface topology is close to that predicted byfirst principles density functional theory calculations, consisting ofquasi-two-dimensional electron-like and hole-like sheets. The total volume ofthe two hole sheets is almost equal to that of the two electron sheets, and thehole and electron Fermi surface sheets are close to a nesting condition. Noevidence for the predicted three dimensional pocket arising from the Fe$d_{z^2}$ band is found. Measurements of the effective mass suggest arenormalisation of around two, close to the value for the overall bandrenormalisation found in recent angle resolved photoemission measurements.

Quantum Oscillation Studies of the Fermi Surface of LaFePO