Antiferromagnetism and hot spots in CeIn3

Enormous mass enhancement at “hot spots” on the Fermi surface (FS) of CeIn₃ has been reported at a strong magnetic field near its antiferromagnetic (AFM) quantum critical point [T. Ebihara , Phys. Rev. Lett. 93, 246401 (2004)] and ascribed to anomalous spin fluctuations at these spots. The hot spots lie at the positions on FS where in nonmagnetic LaIn₃ the narrow necks are protruded. In paramagnetic phase, CeIn₃ has similar spectrum. We show that in the presence of AFM ordering its FS undergoes a topological change at the onset of AFM order that truncates the necks at the hot spots for one of the branches. The applied field leads to the logarithmic divergence of the dHvA effective mass when the electron trajectory passes near or through the neck positions. This effect explains the observed dHvA mass enhancement at the hot spots and leads to interesting predictions concerning the spin dependence of the effective electron mass. The (T,B) -phase diagram of CeIn₃ , constructed in terms of the Landau functional, is in agreement with experiment.