Charge and Spin Transport in the One-dimensional Hubbard Model

Abstract

In this paper we study the charge and spin currents transported by the elementary excitations of the one-dimensional Hubbard model. The corresponding current spectra are obtained by both analytic methods and numerical solution of the Bethe-ansatz equations. For the case of half-filling, we find that the spin-triplet excitations carry spin but no charge, while charge $\eta$-spin triplet excitations carry charge but no spin, and both spin-singlet and charge $\eta$-spin-singlet excitations carry neither spin nor charge currents.

24 pages, 14 figures

References in corpus (36)

• Transport and conservation laws
• Spin-charge separation and localization in one-dimension
• Finite temperature Drude weight of the one dimensional spin 1/2 Heisenberg model}
• Integrability and ideal conductance at finite temperatures
• Spectroscopic signatures of spin-charge separation in the quasi-one-dimensional organic conductor TTF-TCNQ
• Evidence for ideal insulating/conducting state in a 1D integrable system
• The Quantum Inverse Scattering Method for Hubbard-like Models
• Electronic structure of the quasi-one-dimensional organic conductor TTF-TCNQ
• Optical conductivity of the half-filled Hubbard chain
• Scaling theory of the Mott-Hubbard metal-insulator transition in one dimension
• Dynamics of a heavy particle in a Luttinger liquid
• Exact Drude weight for the one-dimensional Hubbard model at finite temperatures
• Direct Calculation of the Spin Stiffness in the $J_1$--$J_2$ Heisenberg Antiferromagnet
• Completeness of the SO(4) Extended Bethe Ansatz for the One-Dimensional Hubbard Model
• Thermodynamics and excitations of the one-dimensional Hubbard model
• Scattering Matrix and Excitation Spectrum of the Hubbard Model
• Optical conductivity of one-dimensional Mott insulators
• SU(2)xSU(2) Invariant Scattering Matrix of the Hubbard Model
• Strong-Correlations Versus U-Center Pairing and Fractional Aharonov-Bohm Effect
• Finite Temperature Effects in One-dimensional Mott-Hubbard Insulator: Angle-Resolved Photoemission Study of Na_{0.96}V_{2}O_{5}
• Curvature of Levels and Charge Stiffness of One-Dimensional Spinless Fermions
• Finite-Temperature Transport in Finite-Size Hubbard Rings in the Strong-Coupling Limit
• Direct Calculation of Spin-Stiffness for Spin-1/2 Heisenberg Models
• New perturbation theory of low-dimensional quantum liquids II: operator description of Virasoro algebras in integrable systems
• Conservation laws and bosonization in integrable Luttinger liquids
• Dynamical decoupling and Kac-Moody current representation in multicomponent integrable systems
• Finite-frequency optical absorption in 1D conductors and Mott-Hubbard insulators
• New perturbation theory of low-dimensional quantum liquids I: the pseudoparticle operator basis
• Fine Structure and Fractional Aharonov-Bohm Effect
• Exact Solution of the strong coupling t-V model with twisted boundary conditions
• Pseudoparticle Description of the 1D Hubbard Model Electronic Transport Properties
• Finite temperature mobility of a particle coupled to a fermion environment
• Complete Pseudohole and Heavy-Pseudoparticle Operator Representation for the Hubbard Chain
• The Hubbard quantum wire
• One-Particle Spectral Properties of 1D Mott-Hubbard Insulators
• Role of symmetry in the interplay of T=0 quantum-phase transitions with unconventional T>0 transport properties in integrable quantum lattice systems

Cited by in corpus (6)

• Exact Nonequilibrium Steady State of an Open Hubbard Chain
• Diffusive high-temperature transport in the one-dimensional Hubbard model
• Transport properties of the one-dimensional Hubbard model at finite temperature
• Magnetization transport in spin ladders and next-nearest-neighbor chains
• Absence of high-temperature ballistic transport in the spin-$1/2$ $XXX$ chain within the grand-canonical ensemble
• Absence of ballistic charge transport in the half-filled 1D Hubbard model