Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2011-11-08
Phys. Rev. B 85, 165132 (2012)
Physics
Condensed Matter
Strongly Correlated Electrons
22 pages, 13 figures
Scientific paper
10.1103/PhysRevB.85.165132
We study the charge dynamic structure factor of the one-dimensional Hubbard model with finite on-site repulsion U at half filling. Numerical results from the time-dependent density matrix renormalization group are analyzed by comparison with the exact spectrum of the model. The evolution of the line shape as a function of U is explained in terms of a relative transfer of spectral weight between the two-holon continuum that dominates in the limit U\to \infty and a subset of the two-holon-two-spinon continuum that reconstructs the electron-hole continuum in the limit U\to 0. Power-law singularities along boundary lines of the spectrum are described by effective impurity models that are explicitly invariant under spin and \eta-spin SU(2) rotations. The Mott-Hubbard metal-insulator transition is reflected in a discontinuous change of the exponents of edge singularities at U=0. The sharp feature observed in the spectrum for momenta near the zone boundary is attributed to a Van Hove singularity that persists as a consequence of integrability.
Carmelo Jose. M. P.
Penc Karlo
Pereira Rodrigo G.
Sacramento Pedro D.
White Steven R.
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