Mott Transition in the Two-Dimensional Hubbard Model

Abstract

Spectral properties of the two-dimensional Hubbard model near the Mott transition are investigated by using cluster perturbation theory. The Mott transition is characterized by freezing of the charge degrees of freedom in a single-particle excitation that leads continuously to the magnetic excitation of the Mott insulator. Various anomalous spectral features observed in high-temperature superconductors are explained in a unified manner as properties near the Mott transition.

4 pages, 2 figures

References in corpus (19)

• Angle-resolved photoemission spectroscopy of the cuprate superconductors
• Correlated Electrons in High Temperature Superconductors
• Cluster Perturbation Theory for Hubbard models
• Evolution of electronic structure of doped Mott insulators - reconstruction of poles and zeros of Green's function
• A universal high energy anomaly in angle resolved photoemission spectra of high temperature superconductors - possible evidence of spinon and holon branches
• Quasiparticle Dispersion of the 2D Hubbard Model: From an Insulator to a Metal
• Spinons and triplons in spatially anisotropic frustrated antiferromagnets
• Mottness: Identifying the Propagating Charge Modes in doped Mott Insulators
• Spectral function of the one-dimensional Hubbard model away from half filling
• Shadow band in the one-dimensional large $U$ Hubbard model
• Pseudogaps and their Interplay with Magnetic Excitations in the doped 2D Hubbard Model
• High energy kink in the single particle spectra of the two-dimensional Hubbard model
• Dynamically dominant excitations of string solutions in the spin-1/2 antiferromagnetic Heisenberg chain in magnetic fields
• Composite-Fermion Theory for Pseudogap, Fermi Arc, Hole Pocket, and Non-Fermi-Liquid of Underdoped Cuprate Superconductors
• Ground State Properties of the Two-Dimensional t-J Model
• Spectral Properties near the Mott Transition in the One-Dimensional Hubbard Model
• Quasiparticles of spatially anisotropic triangular antiferromagnets in a magnetic field
• Interchain coherence of coupled Luttinger liquids at all orders in perturbation theory
• Relation between high-energy quasiparticles of quasi-one-dimensional antiferromagnets in a magnetic field and a doublon of a Hubbard chain

Cited by in corpus (52)

• Electronic structure of quantum materials studied by angle-resolved photoemission spectroscopy
• Dispersion, damping, and intensity of spin excitations in the single-layer (Bi,Pb)${}_2$(Sr,La)${}_2$CuO${}_{6+\delta }$ cuprate superconductor family
• Electron-hole doping asymmetry of Fermi surface reconstructed in a simple Mott insulator
• Doped Mott Insulators Break ${\mathbb{Z}}_2$ Symmetry of a Fermi Liquid: Stability of Strongly Coupled Fixed Points
• Origin of Strong Dispersion in Hubbard Insulators
• 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
• Spectral function of the 2D Hubbard model: a density matrix renormalization group plus cluster perturbation theory study
• Hidden-Fermion Representation of Self-energy in Pseudogap and Superconducting States of Two-Dimensional Hubbard Model
• Exact gate decompositions for photonic quantum computing
• Continuous-variable gate decomposition for the Bose-Hubbard model
• Direct Connection between Mott Insulator and d-Wave High-Temperature Superconductor Revealed by Continuous Evolution of Self-Energy Poles
• Single-particle spectral function formulated and calculated by variational Monte Carlo method with application to $d$-wave superconducting state
• 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
• Spontaneous breaking of time reversal symmetry in strongly interacting two dimensional electron layers in silicon and germanium
• Phase diagram of pressure-induced high temperature superconductor La${}_3$Ni${}_2$O${}_{7+\delta }$
• Charge dynamics of the antiferromagnetically ordered Mott insulator
• Emergence of Quasiparticles in a Doped Mott Insulator
• States induced in the single-particle spectrum by doping a Mott insulator
• Charge Order and Superconductivity as Competing Brothers in Cuprate High-$T_{\mathrm{c}}$ Superconductors
• Extended Metal-Insulator Crossover with Strong Antiferromagnetic Spin Correlation in Half-Filled 3D Hubbard Model
• Seven Useful Questions in Density Functional Theory
• Charge dynamics of correlated electrons: Variational description with inclusion of composite fermions
• Influence of spin and charge fluctuations on spectra of the two-dimensional Hubbard model
• Spectroscopic signatures of next-nearest-neighbor hopping in the charge and spin dynamics of doped one-dimensional antiferromagnets
• Characteristics of the Mott transition and electronic states of high-temperature cuprate superconductors from the perspective of the Hubbard model
• Influence of Magnetism and Correlation on the Spectral Properties of Doped Mott Insulators
• Spin and charge dynamics of a quasi-one-dimensional antiferromagnetic metal
• The spectral function of Mott-insulating Hubbard ladders: From fractionalized excitations to coherent quasi-particles
• Relationship between single-particle excitation and spin excitation at the Mott Transition
• Brillouin-zone integration scheme for many-body density of states: Tetrahedron method combined with cluster perturbation theory
• Magnetic properties and temperature variation of spectra in the Hubbard model
• Beyond perturbation theory: A time-dependent approach to inelastic scattering spectroscopies in- and away from equilibrium
• Rashba-metal to Mott-insulator transition
• Emergence and spectral-weight transfer of electronic states in the Hubbard ladder
• Spectral evolution with doping of an antiferromagnetic Mott state
• Mott transition and electronic excitation of the Gutzwiller wavefunction
• Energy-scale cascade and correspondence between Mott and Kondo lattice physics
• Fermi Surface Reconstruction in Underdoped Cuprates: The Origin of Electron Pockets
• Emergence of electronic modes by doping Kondo insulators in the Kondo lattice and periodic Anderson models
• Electron-magnon dynamics triggered by an ultrashort laser pulse: A real-time Dual $GW$ study
• Temperature-driven change in band structure reflecting spin-charge separation of Mott and Kondo insulators
• Not all doped Mott insulators have a pseudogap: key role of van Hove singularities
• Real-space renormalized dynamical mean field theory
• Effect of short-range correlations on spectral properties of doped Mott insulators
• Pseudogap with Fermi arcs and Fermi pockets in half-filled twisted transition metal dichalcogenides
• Emergence and evolution of electronic modes with temperature in spin-gapped Mott and Kondo insulators
• Quantum Monte Carlo study of the metal-insulator crossover in the square-lattice Hubbard model
• High Harmonic Generation in Two-Dimensional Mott Insulators
• Electronic modes induced by spin and charge perturbations in Mott and Kondo insulators
• Probing the pseudogap and beyond: Examining single-particle properties of the hole- and electron-doped Hubbard model