Charge dynamics in half-filled Hubbard chains with finite on-site interaction

R. G. Pereira, K. Penc, S. R. White, P. D. Sacramento, and J. M. P. Carmelo
Phys. Rev. B 85, 165132 – Published 20 April 2012

Abstract

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 and a subset of the two-holon-two-spinon continuum that reconstructs the electron-hole continuum in the limit U0. Power-law singularities along boundary lines of the spectrum are described by effective impurity models that are explicitly invariant under spin and η-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.

  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
6 More
  • Received 8 November 2011

DOI:https://doi.org/10.1103/PhysRevB.85.165132

©2012 American Physical Society

Authors & Affiliations

R. G. Pereira1, K. Penc2, S. R. White3, P. D. Sacramento4, and J. M. P. Carmelo5,6

  • 1Instituto de Física de São Carlos, Universidade de São Paulo, C.P. 369, São Carlos, SP, 13560-970, Brazil
  • 2Research Institute for Solid State Physics and Optics, H-1525 Budapest, P.O. Box 49, Hungary
  • 3Department of Physics and Astronomy, University of California, Irvine, California 92617, USA
  • 4CFIF, Instituto Superior Técnico, Universidade Técnica de Lisboa, Av. Rovisco Pais, 1049-001 Lisboa, Portugal
  • 5GCEP-Centre of Physics, University of Minho, Campus Gualtar, P-4710-057 Braga, Portugal
  • 6Institut für Theoretische Physik III, Universität Stuttgart, D-70550 Stuttgart, Germany

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 85, Iss. 16 — 15 April 2012

Reuse & Permissions
Access Options
CHORUS

Article Available via CHORUS

Download Accepted Manuscript
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review B

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×