Doped Mott insulator physics in the 4f antiferromagnet CeIn3 and implications for pressure-tuned superconductivity

We report recent de Haas-van Alphen experiments performed at low temperatures ($T$ $>$ 30 mK) and high magnetic fields in CeIn$_3$ that motivate us to revise our understanding of strongly coupled antiferromagnetism in $f$-electron systems. In addition to the known light Fermi surface sheets, heavy ellipsoid pockets are observed with a symmetry consistent with them being situated at the $ \pi/2,\pi/2,\pi/2$ point in the paramagnetic Brillouin zone. Their topology is the 3D analog of the 2D hole pockets reported to exist at $\pi/2,\pi/2$ in underdoped cuprate superconductors, indicating some degree of similarity between the the electronic structures in the $d$- and $f$-electron systems. The effective masses of the ellipsoids are sufficient to account for all of the electronic specific heat of CeIn $_3$ at ambient pressure within the antiferromagnetic phase, making them strong candidates for the origin of the coexisting superconductivity under pressure. High magnetic fields cause these pockets to undergo a topological deformation, passing through a Lifshitz transition at $\sim$~40~T.