Dynamics and transport properties of Kondo insulators

Abstract

A many-body theory of paramagnetic Kondo insulators is described, focusing specifically on single-particle dynamics, scattering rates, d.c. transport and optical conductivities. This is achieved by development of a non-perturbative local moment approach to the symmetric periodic Anderson model within the framework of dynamical mean-field theory. Our natural focus is the strong coupling, Kondo lattice regime; in particular the resultant `universal' scaling behaviour in terms of the single, exponentially small low-energy scale characteristic of the problem. Dynamics/transport on all relevant ($\omega ,T$) scales are considered, from the gapped/activated behaviour characteristic of the low-temperature insulator through to explicit connection to single-impurity physics at high $\omega$ and/or $T$; and for optical conductivities emphasis is given to the nature of the optical gap, the temperature scale responsible for its destruction, and the consequent clear distinction between indirect and direct gap scales. Using scaling, explicit comparison is also made to experimental results for d.c. transport and optical conductivites of Ce_3Bi_4Pt_3, SmB_6 and YbB_{12}. Good agreement is found, even quantitatively; and a mutually consistent picture of transport and optics results.

arXiv comment49 pages, 23 figures

References in corpus (20)

• Transport Coefficients of the Anderson Model via the Numerical Renormalization Group
• Anomalous Normal-State Properties of High-T${}_c$ Superconductors -- Intrinsic Properties of Strongly Correlated Electron Systems?
• Transfer of Spectral Weight in Spectroscopies of Correlated Electron Systems
• The low-energy scale of the periodic Anderson model
• Protracted Screening in the Periodic Anderson Model
• Low-temperature coherence in the periodic Anderson model: Predictions for photoemission of heavy Fermions
• Optical conductivity of the Kondo insulator YbB_12: Gap formation and low-energy excitations
• Anderson impurities in gapless hosts: comparison of renormalization group and local moment approaches
• A Local Moment Approach to magnetic impurities in gapless Fermi systems
• Field-dependent dynamics of the Anderson impurity model
• Zero-temperature magnetism in the periodic Anderson model in the limit of large dimensions
• Single-particle dynamics of the Anderson model: a local moment approach
• On the scaling spectrum of the Anderson impurity model
• Kondo insulators in the periodic Anderson model: a local moment approach
• "Exhaustion" Physics in the Periodic Anderson Model using Iterated Perturbation Theory
• Magnetic properties of the Anderson model: a local moment approach
• Evidence for exhaustion in the conductivity of the infinite-dimensional periodic Anderson model
• Insulating phases of the infinite-dimensional Hubbard model
• Spectral scaling and quantum critical behaviour in the pseudogap Anderson model
• Finite temperature dynamics of the Anderson model

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• Yb-Yb correlations and crystal-field effects in the Kondo insulator YbB12 and its solid solutions
• Dynamics and transport properties of heavy fermions: theory
• Optical and transport properties of heavy fermions: theory compared to experiment
• Common non-Fermi liquid phases in quantum impurity physics
• Emergent Coherent Lattice Behavior in Kondo Nanosystems
• Influence of disorder on the transport properties of heavy-fermion systems
• Mott insulators and the doping-induced Mott transition within DMFT: exact results for the one-band Hubbard model
• Calculation of Optical Conductivity of YbB${}_{12}$ using Realistic Tight-Binding Model
• Origin of infrared peaks in the optical conductivity of ytterbium compounds
• The Kondo Dynamics of YbIn(1-x)AgxCu4
• A local moment approach to the degenerate Anderson impurity model
• From mixed valence to the Kondo lattice regime
• Fragility of the Kondo insulating gap against disorder: relevance to recent puzzles in topological Kondo insulators
• Mott transitions in the Periodic Anderson Model
• Spectral changes in layered $f$-electron systems induced by Kondo hole substitution in the boundary-layer
• Variational local moment approach: from Kondo effect to Mott transition in correlated electron systems
• Zero temperature dynamics of the Hubbard model in infinite dimensions: A local moment approach
• Kondo-hole substitution in heavy fermions: dynamics and transport
• Interplay between strong correlations and magnetic field in the symmetric periodic Anderson model
• Interaction effects in mixed-valent Kondo insulators
• Reliability of the one-crossing approximation in describing the Mott transition
• Band-edge quasiparticles from electron phonon coupling and resistivity saturation
• Magnetoresistance in paramagnetic heavy fermion metals
• A spin-dependent local moment approach to the Anderson impurity model
• Optical and magnetic excitations in the underscreened quasi-quartet Kondo lattice