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

Carmelo, J.M.P. (Department of Physics, University of Minho, Campus Gualtar, Braga, P-4710-057, Portugal) (Center of Physics of University of Minho, University of Porto, Oporto, P-4169-007, Portugal) (Beijing Computational Science Research Center, Beijing, 100193, China) (University of Gothenburg, Department of Physics, Gothenburg, SE-41296, Sweden) ; Čadež, T. (Beijing Computational Science Research Center, Beijing, 100193, China) (Center of Physics of University of Minho, University of Porto, Oporto, P-4169-007, Portugal)

18 November 2016

Abstract: The momentum, electronic density, spin density, and interaction dependences of the exponents that control the (k,ω) -plane singular features of the σ=↑,↓ 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 in terms of the rotated electrons associated with the model Bethe-ansatz solution for all electronic density and spin density values and the whole finite repulsion range. 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 one-electron matrix elements between the ground state and excited energy eigenstates.


Published in: Nuclear Physics B (2016)
Published by: Elsevier
DOI: 10.1016/j.nuclphysb.2016.11.009
License: CC-BY-3.0



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