Charge and Spin Quantum Fluids Generated by Many-Electron Interactions

Abstract

In this paper we describe the electrons of the 1D Hubbard model by a fluid of unpaired rotated electrons and a fluid of zero-spin rotated-electron pairs. The rotated electrons are related to the original electrons by a mere unitary transformation. For all finite values of energy and for the whole parameter space of the model this two-fluid picture leads to a description of the energy eigenstates in terms of occupancy configurations of $\eta$-spin 1/2 holons, spin 1/2 spinons, and $c$ pseudoparticles only. The electronic degrees of freedom couple to external charge (and spin) probes through the holons and $c$ pseudoparticles (and spinons). Our results refer to very large values of the number of lattice sites $N_a$. The holon (and spinon) charge (and spin transport is made by $2\nu$-holon (and $2\nu$-spinon) composite pseudoparticles such that $\nu =1,2,...$.

25 pages, no figures

References in corpus (5)

• Spectroscopic signatures of spin-charge separation in the quasi-one-dimensional organic conductor TTF-TCNQ
• Electronic structure of the quasi-one-dimensional organic conductor TTF-TCNQ
• Distribution of spectral weight in a system with disordered stripes
• Stripe as an effective one-dimensional band of composite excitations
• Finite-Energy Landau Liquid Theory for the 1D Hubbard Model: Pseudoparticle Energy Bands and Degree of Localization/Delocalization

Cited by in corpus (16)

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• Absence of ballistic charge transport in the half-filled 1D Hubbard model
• One-electron singular spectral features of the 1D Hubbard model at finite magnetic field
• Finite energy spectral function of an anisotropic 2D system of coupled Hubbard chains
• The square-lattice quantum liquid of charge c fermions and spin-neutral two-spinon s1 fermions
• One-particle spectral functions of the one-dimensional Fermionic Hubbard model with one fermion per site at zero and finite magnetic fields
• Hubbard-model description of the high-energy spin-spectral-weight distribution in La(2)CuO(4)
• The $SO(3)\times SO(3)\times U(1)$ Hubbard model on a square lattice in terms of $c$ and $\alpha \nu$ fermions and deconfined $\eta$-spinons and spinons
• Scattering mechanisms and spectral properties of the one-dimensional Hubbard model
• Spinon and eta-spinon correlation functions
• U(1) slave-particle study of the finite-temperature doped Hubbard model in one and two dimensions
• Spin-spectral-weight distribution and energy range of the parent compound La${}_2$CuO${}_4$
• Exact results for the Hubbard model on bipartite lattices in spatial dimensions $d>1$: Seven theorems from the full [SU(2)$\times$SU(2)$\times$U(1)]/${\mathbb{Z}}_2^2$ symmetry