Low-energy excitations and transport functions of the one-dimensional Kondo insulator

Abstract

Using variational matrix product states, we analyze the finite temperature behavior of a half-filled periodic Anderson model in one dimension, a prototypical model of a Kondo insulator. We present an extensive analysis of single-particle Green's functions, two-particle Green's functions, and transport functions creating a broad picture of the low-temperature properties. We confirm the existence of energetically low-lying spin excitations in this model and study their energy-momentum dispersion and temperature dependence. We demonstrate that charge-charge correlations at the Fermi energy exhibit a different temperature dependence than spin-spin correlations. While energetically low-lying spin excitations emerge approximately at the Kondo temperature, which exponentially depends on the interaction strength, charge correlations vanish already at high temperatures. Furthermore, we analyze the charge and thermal conductivity at finite temperatures by calculating the time-dependent current-current correlation functions. While both charge and thermal conductivity can be fitted for all interaction strengths by gapped systems with a renormalized band gap, the gap in the system describing the thermal conductivity is generally smaller than the system describing the charge conductivity. Thus, two-particle correlations affect the charge and heat conductivities in a different way resulting in a temperature region where the charge conductivity of this one-dimensional Kondo insulator is already decreasing while the heat conductivity is still increasing.

References in corpus (45)

• Real time evolution using the density matrix renormalization group
• Matrix Product Density Operators: Simulation of finite-T and dissipative systems
• Topological Kondo Insulators
• Unifying time evolution and optimization with matrix product states
• From density-matrix renormalization group to matrix product states
• Finite-temperature transport in one-dimensional quantum lattice models
• Finite Temperature Density Matrix Renormalization using an enlarged Hilbert space
• Quantum oscillations in Kondo Insulator SmB${}_6$
• Topological Kondo Insulators
• Unconventional Fermi surface in an insulating state
• Variational optimization algorithms for uniform matrix product states
• Quantum Oscillation from In-gap States and non-Hermitian Landau Level Problem
• Quantum Monte Carlo simulations of the half-filled two-dimensional Kondo lattice model
• Quantum Oscillations of Electrical Resistivity in an Insulator
• Quantum oscillations without a Fermi surface and the anomalous de Haas-van Alphen effect
• Spin and charge dynamics of the ferromagnetic and antiferromagnetic two-dimensional half-filled Kondo lattice model
• Kondo Breakdown in Topological Kondo Insulators
• Quantum oscillation in narrow-gap topological insulators
• Kondo Breakdown and Quantum Oscillations in SmB${}_6$
• Spin-adapted Matrix Product States and Operators
• Excitons in topological Kondo insulators - theory of thermodynamic and transport anomalies in SmB${}_6$
• DMFT reveals the non-Hermitian topology in heavy-fermion systems
• Reducing the numerical effort of finite-temperature density matrix renormalization group transport calculations
• Mixed-valence insulators with neutral Fermi surfaces
• Infinite boundary conditions for matrix product state calculations
• Skyrme insulators: insulators at the brink of superconductivity
• Competition Between Antiferromagnetic Order and Spin-Liquid Behavior in the Two-Dimensional Periodic Anderson Model at Half-Filling
• Spin and charge gaps in the one-dimensional Kondo-lattice model with Coulomb interaction between conduction electrons
• Extending the range of real time density matrix renormalization group simulations
• Imaging emergent heavy Dirac fermions of a topological Kondo insulator
• Fermi surfaces in Kondo insulators
• Relation between exceptional points and the Kondo effect in $f$-electron materials
• Unconventional thermal metallic state of charge-neutral fermions in an insulator
• Coexistence of light and heavy surface states in a topological multi-band Kondo insulator
• Temperature-induced gap formation in dynamic correlation functions of the one-dimensional Kondo insulator --- Finite-temperature density-matrix renormalization-group study ---
• Quantum oscillations in strongly correlated topological Kondo insulators
• Exceptional points in the one-dimensional Hubbard model
• Matrix product purifications for canonical ensembles and quantum number distributions
• Thermodynamic properties of the one-dimensional Kondo insulators studied by the density matrix renormalization group method
• Magnetic states in a three-dimensional topological Kondo insulator
• Finite temperature properties of the 2D Kondo lattice model
• Charge neutral fermions and magnetic field driven instability in insulating YbIr${}_3$Si${}_7$
• Shadow surface states in topological Kondo insulators
• Surface exceptional points in a topological Kondo insulator
• Magnetic Doublon Bound States in the Kondo Lattice Model

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• Emergence and evolution of electronic modes with temperature in spin-gapped Mott and Kondo insulators
• Geometrically Taming Dynamical Entanglement Growth in Purified Quantum States