We use a combination of dynamical mean-field model calculations and LDA+U material specific calculations to investigate the low temperature phase transition in the compounds from the (Pr1−yRy)xCa1−xCoO3 (R=Nd, Sm, Eu, Gd, Tb, Y) family (PCCO). The transition, marked by a sharp peak in the specific heat, leads to an exponential increase of dc resistivity and a drop of the magnetic susceptibility, but no order parameter has been identified yet. We show that condensation of spin-triplet, atomic-size excitons provides a consistent explanation of the observed physics. In particular, it explains the exchange splitting on the Pr sites and the simultaneous Pr valence transition. The excitonic condensation in PCCO is an example of a general behavior expected in certain systems in the proximity of a spin-state transition.
PACS numbers:The R x A 1−x CoO 3 (R=La,..., and A=Ca, Sr, Ba) series exhibits a variety of phenomena including thermally and doping driven spin-state crossover, metal-insulator crossover, magnetic ordering or nanoscopic inhomogeneities. The root cause of the rich physics are quasi-degenerate Co 3d atomic multiplets and their interaction with the crystal lattice or doped charge carriers. The (Pr 1−y R y ) x Ca 1−x CoO 3 (R=Nd, Sm, Eu, Gd, Tb, Y) family is unique among the cobaltites. A decade ago, Tsubouchi et al [1, 2] observed a metal-insulator transition in Pr 0.5 Ca 0.5 CoO 3 associated with a drop of magnetic susceptibility and a sharp peak in the specific heat indicating the collective nature of the transition. Subsequently, the transition was observed in other PCCO materials with x and y in the ranges 0.2-0.5 and 0-0.3, respectively [3][4][5]. Despite the evidence for a continuous, or very weakly first order, phase transition and the experimental effort [6] no long-range order could be identified. The PCCO materials in this respect resemble the much famous hidden order prototype URu 2 Si 2 [7]. An important step towards understanding of the transition in PCCO was made by observation of Pr 3+ →Pr
4+valence transition which take place simultaneously. [6,8]. Another clue to the nature of the PCCO hidden order is the exchange splitting of the Pr
4+Kramers ground state in the absence of ordered magnetic moments [4,6,9].The basic features to be captured by a theory of the PCCO hidden order are: i) substantial increase of resistivity below T c , ii) the sharp peak in the specific heat at T c , iii) the drop of the magnetic susceptibility and the departure from the Curie-Weiss behavior of the Co moments below T c , iv ) the Pr valence transition, v ) the exchange splitting of the Pr 4+ Kramers doublet in the absence of ordered magnetic moments. More subtle effects include the increase of T c with pressure [3], the lattice response consisting primarily in reduction of the Co-O-Co angle below T c [3], and the apparent softness of the exchange field on Pr and the lack of a clear x-ray signature of the spin-state transition [6,10].In this Letter we explain the physics of PCCO by formation of excitonic condensa...