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The localization-delocalization transition is at the heart of strongcorrelation physics. Recently, there is great interest in multiorbital systemswhere this transition can be restricted to certain orbitals, leading to anorbital-selective Mott phase (OSMP). Theoretically, the OSMP is widely studiedfor kinetically decoupled orbitals, but the effect of interorbital hoppingremains unclear. Here, we show how nonlocal interorbital hopping leads to localhybridization in single-site dynamical mean-field theory (DMFT). Under fairlygeneral circumstances, this implies that, at zero temperature, the OSMP,involving the Mott-insulating state of one orbital, is unstable againstinterorbital hopping to different, metallic orbital. We further show that thecoherence scale below which all electrons are itinerant is very small and getsexponentially suppressed even if the interorbital hopping is not overly small.Within this framework, the OSMP with interorbital hopping may thus reach downto extremely low temperatures $T$, but not to $T=0$. Accordingly, it is part ofa coherence-incoherence crossover and not a quantum critical point. We presentanalytical arguments supported by numerical results using the numericalrenormalization group as a DMFT impurity solver. We also compare our findingswith previous slave-spin studies.

Is the orbital-selective Mott phase stable against interorbital hopping?