Orbital-selective Mott transitions: Heavy fermions and beyond

Abstract

Quantum phase transitions in metals are often accompanied by violations of Fermi liquid behavior in the quantum critical regime. Particularly fascinating are transitions beyond the Landau-Ginzburg-Wilson concept of a local order parameter. The breakdown of the Kondo effect in heavy-fermion metals constitutes a prime example of such a transition. Here, the strongly correlated f electrons become localized and disappear from the Fermi surface, implying that the transition is equivalent to an orbital-selective Mott transition, as has been discussed for multi-band transition-metal oxides. In this article, available theoretical descriptions for orbital-selective Mott transitions will be reviewed, with an emphasis on conceptual aspects like the distinction between different low-temperature phases and the structure of the global phase diagram. Selected results for quantum critical properties will be listed as well. Finally, a brief overview is given on experiments which have been interpreted in terms of orbital-selective Mott physics.

29 pages, 4 figs, mini-review prepared for a special issue of JLTP

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• Orbital-selective Mott transitions in the anisotropic two-band Hubbard model at finite temperatures
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• Magnetic quantum phase transition in an anisotropic Kondo lattice
• Kondo volume collapse, Kondo breakdown, and Fermi surface transitions in heavy-fermion metals
• Pressure-induced residual resistivity anomaly in CeCu_5Au
• Model of Quantum Criticality in He3 bilayers Adsorbed on graphite
• Signature of Kondo breakdown quantum criticality in optical conductivity

Cited by in corpus (85)

• Strong electronic correlations from Hund's coupling
• Hund's coupling key role in multi-orbital correlations
• Flat bands promoted by Hund's rule coupling in the candidate double-layer high-temperature superconductor La${}_3$Ni${}_2$O${}_7$
• Gate-tunable heavy fermions in a moiré Kondo lattice
• Frustration and quantum criticality
• Quasiparticles beyond the Fermi liquid and heavy fermion criticality
• Exotic magnetic order in the orbital-selective Mott regime of multiorbital systems
• Strange metals and the AdS/CFT correspondence
• Fermi surface topology of the two-dimensional Kondo lattice model: a dynamical cluster approximation approach
• Strong coupling theory of heavy fermion criticality
• Flavour-selective localization in interacting lattice fermions via SU(N) symmetry breaking
• Fractionalized Fermi liquids and exotic superconductivity in the Kitaev-Kondo lattice
• Magnetic and superconducting instabilities in a hybrid model of itinerant/localized electrons for iron pnictides
• Is the orbital-selective Mott phase stable against interorbital hopping?
• The underdoped cuprates as fractionalized Fermi liquids: transition to superconductivity
• Interaction-resistant metals in multicomponent Fermi systems
• The Orbitally Selective Mott Phase in Electron Doped Twisted TMDs: A Possible Realization of the Kondo Lattice Model
• Emergence of quantum critical charge and spin-state fluctuations near the pressure-induced Mott transition in MnO, FeO, CoO, and NiO
• Selective insulators and anomalous responses in correlated fermions with synthetic extra dimensions
• Fermi Surface Properties, Metamgnetic Transition and Quantum Phase Transition of CeRu${}_2$Si${}_2$ and Its Alloys Probed by the dHvA Effect--Fermi Surface Studies on the Itinerant and Localized Dichotomy of $f$ Electron Nature
• Mott transition of fermionic mixtures with mass imbalance in optical lattices
• Zooming in on heavy fermions in Kondo lattice models
• d-wave superconductivity in the frustrated two-dimensional periodic Anderson model
• Quantum phase transition between orbital-selective Mott states in Hund's metals
• Orbital-selective Mott transitions in a doped two-band Hubbard model with crystal field splitting
• Orbitally selective breakdown of Fermi liquid quasiparticles in Ca${}_{1.8}$Sr${}_{0.2}$RuO${}_4$
• Differentiating Hund from Mott physics in a three-band Hubbard-Hund model: Temperature dependence of spectral, transport, and thermodynamic properties
• Kondo breakdown in a spin-1/2 chain of adatoms on a Dirac semimetal
• Kondo Breakdown via Fractionalization in a Frustrated Kondo Lattice Model
• Antiferromagnetic fluctuations and orbital-selective Mott transition in the van der Waals ferromagnet Fe3-xGeTe2
• Emergent low-energy bound states in the two-orbital Hubbard model
• Spin chain on a metallic surface: Dissipation-induced order vs. Kondo entanglement
• Alternative Kondo breakdown mechanism: Orbital-selective orthogonal metal transition
• Orbital-selective Mott phase and non-Fermi liquid in FePS${}_3$
• Soluble limit and criticality of fermions in Z2 gauge theories
• Assessing the orbital selective Mott transition with variational wave functions
• Orbital-selective Mott transition and heavy fermion behavior in a bilayer Hubbard model for 3He
• Metallic local-moment magnetocalorics as a route to cryogenic refrigeration
• Spin-flip scattering of critical quasiparticles and the phase diagram of YbRh2Si2
• Orbital selective crossover and Mott transitions in an asymmetric Hubbard model of cold atoms in optical lattices
• Hybridizing localized and itinerant electrons: a recipe for pseudogaps
• Quantum critical Mott transitions in a bilayer Kondo insulator-metal model system
• Frustrated Kondo impurity triangle: A simple model of deconfinement
• Breakdown of heavy quasiparticles in a honeycomb Kondo lattice: A quantum Monte Carlo study
• In-gap band in the one-dimensional two-orbital Kanamori-Hubbard model with inter-orbital Coulomb interaction
• Orbital Selective Mott Transition Induced by Orbitals with Distinct Noninteracting Densities of States
• Critical quasiparticles in single-impurity and lattice Kondo models
• Truncated mass divergence in a Mott metal
• Quantum critical phase of FeO spans conditions of Earth's lower mantle
• Topological antiferromagnetic spin-density-wave phase in an extended Kondo lattice model
• Half-filled Kondo lattice on the honeycomb lattice
• Probing quantum criticality in ferromagnetic CeRh6Ge4
• Altermagnetism in Heavy Fermion Systems: Mean-Field study on Kondo Lattice
• A Local Quantum Phase Transition in YFe${}_2$Al${}_{10}$
• Singularity in self-energy and composite fermion excitations of interacting electrons
• Simulating heavy fermion physics in optical lattice: Periodic Anderson model with harmonic trapping potential
• Orbital-selective bad metals due to Hund's rule and orbital anisotropy: a finite-temperature slave-spin treatment of the two-band Hubbard model
• Excitonic density-waves, bi-excitons and orbital selective pairing in two-orbital correlated chains
• Ring-exchange periodic Anderson model for 3He bilayers
• Doping-induced band shifts and Lifshitz transitions in heavy-fermion metals
• Orbital Selective Phase Transition
• Topological quantum phase transition in Kane-Mele-Kondo lattice model
• Site-selective doublon-holon dynamics in a pumped one-dimensional Hubbard superlattice with staggered Coulomb interactions
• Spontaneous layer selective Mott phase in the bilayer Hubbard model
• A generalized effective spin-chain formalism for strongly interacting spinor gases in optical lattice
• Energy-scale cascade and correspondence between Mott and Kondo lattice physics
• Correlation-driven Lifshitz transition and orbital order in a two-band Hubbard model
• Magnetic quantum phase transition in a metallic Kondo heterostructure
• Distinct Nature of Orbital Selective Mott Phases Dominated by the Low-energy Local Spin Fluctuations
• Fractional Fermi liquid in a generalized $t-J$ model
• Inexorable Edge Kondo Breakdown in Topological Kondo Insulators
• SU($\mathbf{N}$) Kondo-Heisenberg chain: Phase diagram, Ising criticality, and the coexistence of heavy quasiparticles and valence bond solid order
• Kondo breakdown transitions and phase-separation tendencies in valence-fluctuating heavy-fermion materials
• Hund's metal regimes and orbital selective Mott transitions in three band systems
• Extended dual description of Mott transition beyond two-dimensional space
• Fractionalized Superconductivity Mediated by Majorana Fermions in the Kitaev-Kondo Lattice
• Kondo breakdown in multi-orbital Anderson lattices induced by destructive hybridization interference
• Low-energy interband Kondo bound states in orbital-selective Mott phases
• Magnon damping and mode softening in quantum double-exchange ferromagnets
• Impurity-induced Mott ring states and Mott zeros ring states in the Hubbard operator formalism
• Phases and phase transitions of an $S=3/2$ chain on metallic and semi-metallic surfaces
• Selective Kondo screening and strange metallicity by sliding Dirac semimetals
• Site-selective correlations in interacting "flat-band" quasicrystals
• Emergent Chiral Metal near a Kondo Breakdown Quantum Phase Transition
• Multi-orbital dynamical mean-field theory with a complex-time solver