Divalent EuRhSi as a reference for the Luttinger theorem and antiferromagnetism in trivalent heavy-fermion YbRhSi

Gttler, M.*; Generalov, A.*; Fujimori, Shinichi   ; Kummer, K.*; Chikina, A.*; Seiro, S.*; Danzenbcher, S.*; Koroteev, Yu. M.*; Chulkov, E. V.*; Radovic, M.*; Shi, M.*; Plumb, N. C.*; Laubschat, C.*; Allen, J. W.*; Krellner, C.*; Geibel, C.*; Vyalikh, D. V.*

Application of the Luttinger Theorem (LT) to the canonical heavy-fermion Kondo Lattice (KL) material YbRhSi suggests that its large 4f-derived Fermi surface (FS) in the paramagnetic (PM) regime should be similar in shape and volume to that of the divalent local moment anti-ferromagnet (AFM) EuRhSi in its PM regime. This leads to the tempting opportunity to explore a new experimental realization of the LT in general and how the large FS may change upon the AFM transition below 70 mK in YbRhSi in particular. A detailed knowledge of the FS reconstruction might be essential to disclose the properties of this phase, which is a precursor of quantum criticality and superconductivity. Using angle-resolved photoemission spectroscopy (ARPES), we observe a large FS for PM EuRhSi essentially the same as the one seen in YbRhSi in the KL state at a temperature of 1 K. Across the EuRhSi AFM transition we found an extensive fragmentation of the FS due to Brillouin zone folding, intersection and resulting hybridization of the Doughnut and Jungle gym Fermi-surface sheets. Our results on EuRhSi indicate that the formation of the AFM state in YbRhSi is very likely also connected with large changes in the FS, which have to be taken into account in the controversial analysis and discussion of anomalies observed at the quantum critical point in this system.