Temperature-driven change in band structure reflecting spin-charge separation of Mott and Kondo insulators

Abstract

The electronic band structure can change with temperature in Mott and Kondo insulators, even without a phase transition. Here, to clarify the underlying mechanism, the spectral function at nonzero temperature is studied. By considering selection rules, the spin excited states of Mott and Kondo insulators, whose excitation energies are lower than the charge gap, are shown to emerge in the electronic spectral function at nonzero temperature, exhibiting momentum-shifted magnetic dispersion relations from the band edges, as in the case of the doping-driven Mott transition at zero temperature. Based on this characteristic, we interpret the numerical results for temperature-driven change in band structure in the one- and two-dimensional and ladder Hubbard models and one-dimensional periodic Anderson model at half filling obtained using cluster perturbation theory with the low-temperature Lanczos method. This characteristic also explains why the band structures can change with temperature even in the energy regime far higher than the temperature and why spectral weights emerge in the energy regime within the band gap, where excitation energies are lower than the lowest electronic excitation energy from the ground state. Furthermore, if the band width of the spin excitation is comparable to the band gap, the emergent electronic modes can cross the Fermi level and gain spectral weight as the temperature increases, which leads to an insulator-metal crossover. These features are primarily caused by the spin excited states that are transparent in electronic measurements at zero temperature, in contrast to the conventional view where thermal effects on electron-added and removed states and static spin correlations are considered to mainly affect the band structure. This innovative perspective provides a different understanding from the conventional view on electronic states at nonzero temperatures.

arXiv comment19 pages, 9 figures, 3 tables

References in corpus (49)

• Correlated Electrons in High Temperature Superconductors
• The spectral weight of the Hubbard model through cluster perturbation theory
• Dynamical density-matrix renormalization-group method
• Unconventional Fermi surface in an insulating state
• The Non-Abelian Density Matrix Renormalization Group Algorithm
• Cluster Perturbation Theory for Hubbard models
• Canonical Thermal Pure Quantum State
• Evolution of electronic structure of doped Mott insulators - reconstruction of poles and zeros of Green's function
• Quasiparticle Dispersion of the 2D Hubbard Model: From an Insulator to a Metal
• Mottness: Identifying the Propagating Charge Modes in doped Mott Insulators
• Spectral function of the one-dimensional Hubbard model away from half filling
• Anomalous low doping phase of the Hubbard model
• Quantum Oscillations of Electrical Resistivity in an Insulator
• Fermi surface in the absence of a Fermi liquid in the Kondo insulator SmB${}_6$
• Doped high-Tc cuprate superconductors elucidated in the light of zeros and poles of electronic Green's function
• Spectral properties of the one-dimensional Hubbard model
• Low Temperature Lanczos Method
• Mott Transition in the Two-Dimensional Hubbard Model
• Composite-Fermion Theory for Pseudogap, Fermi Arc, Hole Pocket, and Non-Fermi-Liquid of Underdoped Cuprate Superconductors
• Spectral Properties near the Mott Transition in the One-Dimensional Hubbard Model
• Dynamical Properties of a Single Hole in an Antiferromagnet
• Spectral properties of a spin-incoherent Luttinger Liquid
• Fermi surfaces in Kondo insulators
• Mottness in High-Temperature Copper-Oxide Superconductors
• Unconventional thermal metallic state of charge-neutral fermions in an insulator
• Finite temperature dynamics of the Mott insulating Hubbard chain
• Spectral properties near the Mott transition in the two-dimensional Hubbard model with next-nearest-neighbor hopping
• Unusual high-field metal in a Kondo insulator
• Cofermion Theory for Pseudogap Phenomena and Superconducting Mechanism of Underdoped Cuprate Superconductors
• Self-energy and Fermi surface of the 2-dimensional Hubbard model
• Spectral function of the 2D Hubbard model: a density matrix renormalization group plus cluster perturbation theory study
• Temperature dependence of spinon and holon excitations in one-dimensional Mott insulators
• Variational cluster approach to thermodynamic properties of interacting fermions at finite temperatures: A case study of the two-dimensional single-band Hubbard model at half filling
• Inverse photoemission in strongly correlated electron systems
• Intrinsic bulk quantum oscillations in a bulk unconventional insulator SmB${}_6$
• Doping and temperature evolution of pseudogap and spin-spin correlations in the two-dimensional Hubbard model
• Spectral properties near the Mott transition in the two-dimensional t-J model
• $f$-electron hybridised metallic Fermi surface in magnetic field-induced metallic YbB${}_{12}$
• Hall anomaly, Quantum Oscillations and Possible Lifshitz Transitions in Kondo Insulator YbB${}_{12}$: Evidence for Unconventional Charge Transport
• DMRG and the Two Dimensional t-J Model
• States induced in the single-particle spectrum by doping a Mott insulator
• Characteristics of the Mott transition and electronic states of high-temperature cuprate superconductors from the perspective of the Hubbard model
• Relationship between single-particle excitation and spin excitation at the Mott Transition
• Typicality-Based Variational Cluster Approach to Thermodynamic Properties of the Hubbard Model
• Emergence and spectral-weight transfer of electronic states in the Hubbard ladder
• Mott transition and electronic excitation of the Gutzwiller wavefunction
• Spectral function of the $U\to \infty$ one dimensional Hubbard model at finite temperature and the crossover to the spin incoherent regime
• Low-energy excitations and transport functions of the one-dimensional Kondo insulator
• Emergence of electronic modes by doping Kondo insulators in the Kondo lattice and periodic Anderson models

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• Flat bands and temperature-driven phase transition in quasi-one-dimensional zigzag chains
• SU($\mathbf{N}$) Kondo-Heisenberg chain: Phase diagram, Ising criticality, and the coexistence of heavy quasiparticles and valence bond solid order
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• Electronic modes induced by spin and charge perturbations in Mott and Kondo insulators