We perform a rigorous computation of the spin and charge density correlations of the 1d repulsive Hubbard model at weak coupling, focusing on the properties of the Fourier transform at momentum 0 and +/- 2p(F), if p(F) is the Fermi momentum. We prove that the interaction changes the singularity at +/- 2p(F) (the discontinuity in the derivative becomes a power law singularity) while the singularity at 0 is essentially unchanged. Our results show that the logarithmic divergences at zero momentum recently found in , which would be in contrast with Luttinger liquid behaviour, are indeed spurious.
|Titolo:||The absence of logarithmic divergences in the spin and charge density correlations of the 1d Hubbard model|
MASTROPIETRO, VIERI (Primo)
|Settore Scientifico Disciplinare:||Settore MAT/07 - Fisica Matematica|
|Data di pubblicazione:||2007|
|Digital Object Identifier (DOI):||10.1088/1751-8113/40/13/004|
|Appare nelle tipologie:||01 - Articolo su periodico|