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We have observed the bulk Fermi surface (FS) in an overdoped ($x$=0.3) singlecrystal of La$_{2-x}$Sr$_x$CuO$_4$ by using Compton scattering. Atwo-dimensional (2D) momentum density reconstruction from measured Comptonprofiles yields a clear FS signature in the third Brillouin zone along [100].The quantitative agreement between density functional theory (DFT) calculationsand momentum density experiment suggests that Fermi-liquid physics is restoredin the overdoped regime. In particular the predicted FS topology is found to bein good accord with the corresponding experimental data. We find similarquantitative agreement between the measured 2D angular correlation of positronannihilation radiation (2D-ACAR) spectra and the DFT based computations.However, 2D-ACAR does not give such a clear signature of the FS in the extendedmomentum space in either the theory or the experiment.

physical review. b, condensed matter and materials physics

Bulk Fermi surface and momentum density in heavily doped  La$_{2-x}$Sr$_x$CuO$_4$ using high resolution Compton scattering and positron  annihilation spectroscopies