One-electron singular spectral features of the 1D Hubbard model at finite magnetic field

Abstract

The momentum, electronic density, spin density, and interaction dependences of the exponents that control the $(k,\omega )$-plane singular features of the $\sigma =\uparrow ,\downarrow$ one-electron spectral functions of the 1D Hubbard model at finite magnetic field are studied. The usual half-filling concepts of one-electron lower Hubbard band and upper Hubbard band are defined for all electronic density and spin density values and the whole finite repulsion range in terms of the rotated electrons associated with the model Bethe-ansatz solution. Such rotated electrons are the link of the non-perturbative relation between the electrons and the pseudofermions. Our results further clarify the microscopic processes through which the pseudofermion dynamical theory accounts for the $\sigma$ one-electron matrix elements between the ground state and excited energy eigenstates.

63 pages, 11 figures

References in corpus (5)

• Antiferromagnetic Heisenberg Spin Chain of a Few Cold Atoms in a One-Dimensional Trap
• Formation and dynamics of anti-ferromagnetic correlations in tunable optical lattices
• Dynamical Functions of a 1D Correlated Quantum Liquid
• Real-time dynamics in the one-dimensional Hubbard model
• Quantitative determination of the Hubbard model phase diagram from optical lattice experiments by two-parameter scaling

Cited by in corpus (11)

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• Pseudoparticle approach to 1D integrable quantum models
• Absence of ballistic charge transport in the half-filled 1D Hubbard model
• Quantum critical behavior and thermodynamics of the repulsive one-dimensional Hubbard model in a magnetic field
• One-particle spectral functions of the one-dimensional Fermionic Hubbard model with one fermion per site at zero and finite magnetic fields
• Finite-temperature charge and spin transport in the one-dimensional Hubbard model accounting for its global [SU (2) X SU(2) X U(1)]/Z_2^2$ symmetry
• Diffusive charge transport in the gapped 1D Hubbard model at all finite temperatures
• Effects of finite-range interactions on the one-electron spectral properties of one-dimensional metals: Application to Bi/InSb(001)
• Effects of finite-range interactions on the one-electron spectral properties of TTF-TCNQ
• Bethe strings in the spin dynamical structure factor of the Mott-Hubbard phase in one-dimensional fermionic Hubbard model
• One-particle spectral function singularities in a one-dimensional gas of spin-1/2 fermions with repulsive delta-function interaction