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 [7], which would be in contrast with Luttinger liquid behaviour, are indeed spurious.
The absence of logarithmic divergences in the spin and charge density correlations of the 1d Hubbard model / V. Mastropietro. - In: JOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL. - ISSN 1751-8113. - 40:13(2007), pp. 3347-3368.
The absence of logarithmic divergences in the spin and charge density correlations of the 1d Hubbard model
V. MastropietroPrimo
2007
Abstract
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 [7], which would be in contrast with Luttinger liquid behaviour, are indeed spurious.Pubblicazioni consigliate
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