Spin-Charge separation in two dimensionsV. Mastropietro
Università di Roma “Tor Vergata” - Viale della Ricerca Scientifica, 00133 Roma, Italy, EU
received 5 June 2008; accepted in final form 21 October 2008; published December 2008
published online 16 December 2008
The presence of Spin-Charge (SC) separation in two dimensions, which according to many is the root cause of the peculiar properties of high-Tc superconductors, is still rather controversial: theoretical results obtained through different methods and approximations apparently provide conflicting results. In this paper we prove that SC separation occurs in two dimensions, provided that the Fermi surface has flat pieces and the range of interaction is finite but large enough. SC separation emerges from the anomalies in the Ward Identities obtained from local phase transformations depending on the Fermi surface side.
71.10.Hf - Non-Fermi-liquid ground states, electron phase diagrams and phase transitions in model systems.
71.10.Fd - Lattice fermion models (Hubbard model, etc.).
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