Spinon and eta-spinon correlation functions

Abstract

We calculate real-space static correlation functions related to basic entities of the one-dimensional Hubbard model, which emerge from the exact Bethe-ansatz solution. These entities involve complex rearrangements of the original electrons. Basic ingredients are operators related to unoccupied, singly occupied with spin up or spin down and doubly occupied sites. The spatial decay of their correlation functions is determined using an approximate mean-field-like approach based on the Zou-Anderson transformation and DMRG results for the half-filled case. The nature and spatial extent of the correlations between two sites on the Hubbard chain is studied using the eigenstates and eigenvalues of the two-site reduced density matrix.

28 pages, 9 figures

References in corpus (20)

• Real time evolution using the density matrix renormalization group
• One-Dimensional Quantum Liquids: Beyond the Luttinger Liquid Paradigm
• Universal theory of nonlinear Luttinger liquids
• Dynamic response of one-dimensional interacting fermions
• Spin dynamics in a one-dimensional ferromagnetic Bose gas
• Exact edge singularities and dynamical correlations in spin-1/2 chains
• Phenomenology of One-Dimensional Quantum Liquids Beyond the Low-Energy Limit
• Spectral function of spinless fermions on a one-dimensional lattice
• Excitons in the One-Dimensional Hubbard Model: a Real-Time Study
• Spin-charge separation in one-dimensional fermion systems beyond the Luttinger liquid theory
• Spin and charge dynamics of the one-dimensional extended Hubbard model
• Non-local order parameters for the 1D Hubbard model
• Hidden Charge 2e Boson in Doped Mott Insulators: Field Theory of Mottness
• Charge dynamics in half-filled Hubbard chains with finite on-site interaction
• Exact Integration of the High Energy Scale in Doped Mott Insulators
• The combined exact diagonalization - ab initio approach and its application to correlated electronic states and Mott-Hubbard localization in nanoscopic systems
• Dynamics of doublon-holon pairs in Hubbard two-leg ladders
• Doublon-Holon Binding Effects on Mott Transitions in Two-Dimensional Bose Hubbard Model
• Elementary objects of the 1D Hubbard model
• 1D Hubbard model elementary objects scattering

Cited by in corpus (3)

• Density Matrix Spectra and Order Parameters in the 1D Extended Hubbard Model
• Pairwise entanglement and the Mott transition for correlated electrons in nanochains
• Fractional exclusion statistics and thermodynamics of the Hubbard chain in the spin-incoherent Luttinger liquid regime