Kondo breakdown in multi-orbital Anderson lattices induced by destructive hybridization interference

Abstract

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.

References in corpus (14)

• Fermi-liquid instabilities at magnetic quantum phase transitions
• Quantum Criticality in Heavy Fermion Metals
• Fractionalized Fermi liquids
• Energy resolution and discretization artefacts in the numerical renormalization group
• Phase transitions in the pseudogap Anderson and Kondo models: Critical dimensions, renormalization group, and local-moment criticality
• Kondo Breakdown as a Selective Mott Transition in the Anderson Lattice
• Orbital-selective Mott transitions: Heavy fermions and beyond
• T=0 heavy fermion quantum critical point as an orbital selective Mott transition
• Cellular Dynamical Mean Field Theory of the Periodic Anderson Model
• Crossover from conventional to inverse indirect magnetic exchange in the depleted Anderson lattice
• Breakdown of heavy quasiparticles in a honeycomb Kondo lattice: A quantum Monte Carlo study
• Energy Scales of the Doped Anderson Lattice Model
• Kondo holes in strongly correlated impurity arrays: RKKY driven Kondo screening and hole-hole interactions
• Emergent Properties of the Periodic Anderson Model: a High-Resolution, Real-Frequency Study of Heavy-Fermion Quantum Criticality

Cited by in corpus (2)

• Power-Law Spectra and Asymptotic $\omega /T$ Scaling in the Orbital-Selective Mott Phase of a Three-Orbital Hubbard Model
• Flat-Band Driven Kondo Breakdown and Reentrant Effects in Heavy-Fermion Moiré Superlattices