A new analysis of optical excitations in the Hubbard model

F. Mancini, N. Perkins, D. Villani

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


A new theoretical analysis of the conductivity tensor is developed by use of the composite operator method for the two-dimensional Hubbard model. With the aid of the Ward-Takahashi identities which phrase the charge conservation law, the calculation of the current-current propagator is reduced hierarchically to the current-charge and charge-charge ones. Besides, the fermionic character of the propagating charges is preserved because of a constraining equation with the content of the Pauli principle which uniquely fixes the single-particle dynamics.

Original languageEnglish (US)
Pages (from-to)755-756
Number of pages2
JournalPhysica B: Condensed Matter
StatePublished - 1999


  • 2D Hubbard model
  • Composite operator method
  • Optical conductivity
  • Ward-Takahashi identity


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