Charge dynamics of the antiferromagnetically ordered Mott insulator

Abstract

We study the charge dynamics of the half-filled Hubbard model on the square lattice at zero temperature. We employ a slave-fermion formulation in which the charge degrees of freedom are represented by fermionic holons and doublons and the bosonic spin degrees of freedom are assumed to be described by the antiferromagnetic Heisenberg model. The ground state has long-ranged magnetic (Néel) order and its Mott-insulating characteristics are the consequence of holon-doublon bound-state formation. Within this framework, we calculate the average double occupancy, the electron density of states, and the spectral function in the self-consistent Born approximation. The lower and upper Hubbard bands are reproduced, there is spectral-weight transfer into a coherent quasiparticle band at their lower edges, and the Mott gap, associated with holon-doublon binding, is renormalized due to the interactions of the holons and doublons with the magnons. We compute the zeros of the Green function at the chemical potential to discuss the Luttinger volume and show that the poles of the self-energy reflect the underlying quasiparticle dispersion with a spin-renormalized hopping parameter. Optical conductivity results relate the optical gap to the Mott gap of the insulating system. We conclude that a self-consistent treatment of the spin fluctuation effects on the charge degrees of freedom captures all the essential physics of the antiferromagnetic Mott-Hubbard insulator.

References in corpus (53)

• Angle-resolved photoemission spectroscopy of the cuprate superconductors
• Correlated Electrons in High Temperature Superconductors
• Continuous-time Monte Carlo methods for quantum impurity models
• Electrodynamics of Correlated Electron Materials
• Cellular Dynamical Mean Field Approach to Strongly Correlated Systems
• Finite-Size Scaling of the Ground State Parameters of the Two-Dimensional Heisenberg Model
• The spectral weight of the Hubbard model through cluster perturbation theory
• Topological approach to Luttinger's theorem and the Fermi surface of a Kondo lattice
• A Phenomenological Theory of The Pseudogap State
• Variational cluster approach to correlated electron systems in low dimensions
• Cluster Dynamical Mean Field Theory of the Mott Transition
• Superconductivity in the repulsive Hubbard model: an asymptotically exact weak-coupling solution
• Cluster Perturbation Theory for Hubbard models
• Competition between Antiferromagnetism and Superconductivity in High $T_c$ Cuprates
• Hot Spots and Pseudogaps for Hole- and Electron-Doped High-Temperature Superconductors
• 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
• Variational description of Mott insulators
• Fate of the false Mott-Hubbard transition in two dimensions
• Variational cluster approach to spontaneous symmetry breaking: The itinerant antiferromagnet in two dimensions
• Mottness: Identifying the Propagating Charge Modes in doped Mott Insulators
• Quantum Monte Carlo study of the two-dimensional fermion Hubbard Model
• Landau Theory of the Finite Temperature Mott Transition
• Strong coupling superconductivity, pseudogap and Mott transition
• Excitonic quasiparticles in a spin-orbit Mott insulator
• Anomalous low doping phase of the Hubbard model
• Mott Transitions and d-wave Superconductivity in Half-Filled-Band Hubbard Model on Square Lattice with Geometric Frustration
• Doped high-Tc cuprate superconductors elucidated in the light of zeros and poles of electronic Green's function
• Improved energy extrapolation with infinite projected entangled-pair states applied to the 2D Hubbard model
• Static vs. dynamical mean field theory of Mott antiferromagnets
• Visualizing the atomic scale electronic structure of the Ca2CuO2Cl2 Mott insulator
• Optical and DC conductivity of the two-dimensional Hubbard model in the pseudogap regime and across the antiferromagnetic quantum critical point, including vertex corrections
• Mott Transition in the Two-Dimensional Hubbard Model
• Quasiparticle energy dispersion in doped two dimensional quantum antiferromagnets
• Much Ado about Zeros: The Luttinger Surface and Mottness
• Unconventional metal-insulator transition in two dimensions
• Composite-Fermion Theory for Pseudogap, Fermi Arc, Hole Pocket, and Non-Fermi-Liquid of Underdoped Cuprate Superconductors
• Signature of antiferromagnetic long-range order in the optical spectrum of strongly correlated electron systems
• Computation of dynamical correlation functions for many fermion systems with auxiliary-field quantum Monte Carlo
• Optical conductivity in cluster dynamical mean field theory: formalism and application to high temperature superconductors
• Origin of Strong Dispersion in Hubbard Insulators
• Hidden Charge 2e Boson in Doped Mott Insulators: Field Theory of Mottness
• Doping dependent charge transfer gap and realistic electronic model of n-type cuprate superconductors
• Spectral properties near the Mott transition in the two-dimensional Hubbard model with next-nearest-neighbor hopping
• Exact diagonalization study of optical conductivity in two-dimensional Hubbard model
• Superconductivity and Pairing Fluctuations in the Half-Filled Two-Dimensional Hubbard Model
• The superconducting gap in the Hubbard model and the two gap energy scales in high-Tc cuprates
• Self-energy and Fermi surface of the 2-dimensional Hubbard model
• Doublon-holon binding, Mott transition, and fractionalized antiferromagnet in the Hubbard model
• Enhanced pair-correlation functions in the two-dimensional Hubbard model
• Effects of Long-Range Correlations on Nonmagnetic Mott Transitions in Hubbard model on Square Lattice
• Localized in-gap state in a single electron doped Mott insulator
• Origin of the Mott Gap

Cited by in corpus (11)

• Mott-moiré excitons
• Spin-Mediated Mott Excitons
• Emergence of Quasiparticles in a Doped Mott Insulator
• Density-matrix renormalization group study of optical conductivity of the Mott insulator for two-dimensional clusters
• Influence of Magnetism and Correlation on the Spectral Properties of Doped Mott Insulators
• Doublon-holon excitations split by Hund's rule coupling within the orbital-selective Mott phase
• Finite-Temperature Charge Dynamics and the Melting of the Mott Insulator
• Dynamic charge Kondo effect and a slave fermion approach to the Mott transition
• Slave fermion interpretation of the pseudogap in doped Mott insulators
• Radiative Decay of Bound Electron Pairs in Two-Dimensional Topological Insulators
• Radiative decay of bound electron pairs into unbound interacting electrons in 2D materials with two-band spectrum