In this paper we consider a multi band extension to the periodic Anderson model. We use a single site DMFT(NRG) in order to study the impact of the conduction band mediated effective hopping of the correlated electrons between the correlated orbitals onto the heavy Fermi liquid formation. Whereas the hybridization of a single impurity model with two distinct conduction bands always adds up constructively, $T_{K}\propto \exp(-\mathrm{const}\, U/(\Gamma_1+\Gamma_2))$, we show that this does not have to be the case in lattice models, where, in remarkable contrast, also an low-energy Fermi liquid scale $T_0\propto \exp(-\mathrm{const}\, U/(\Gamma_1-\Gamma_2))$ can emerge due to quantum interference effects in multi band models, where $U$ denotes the local Coulomb matrix element of the correlated orbitals and $\Gamma_i$ the local hybridization strength of band $i$. At high symmetry points, heavy Fermi liquid formation is suppressed which is associated with a breakdown of the Kondo effect. This results in an asymptotically scale-invariant (i.e., power-law) spectrum of the correlated orbitals $\propto|\omega|^{1/3}$, indicating non-Fermi liquid properties of the quantum critical point, and a small Fermi surface including only the light quasi-particles. This orbital selective Mott phase demonstrates the possibility of metallic local criticality within the general framework of ordinary single site DMFT.
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Author comments upon resubmission
We again thank the referees for their valuable feedback, which has helped us to further improve the quality of our manuscript. We have addressed the reviewers' comments and made several revisions accordingly. However, these changes have not altered the substantive content of the manuscript. We believe these changes have strengthened the readability of the manuscript and addressed the reviewers' concerns comprehensively.
List of changes
- add reference to appendix A and Eq. A1 in the Method section where we explain the DMFT algorithm - moved subsection 'Multi-band SIAM vs. Multi-band PAM' to appendix B. - replaced 'excellent agreement' by 'qualitatively good agreement' in the context of Fig.1 - fixed color descriptions in the figure caption of Fig.2 - Extend discussion in Sec. 4.3.2 in the context of the emerging flat band in the non-interacting limit starting with "It's crucial to emphasize..."
