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.

Mastropietro, V. (2007). The absence of logarithmic divergences in the spin and charge density correlations of the 1d Hubbard model. JOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL, 40(13), 3347-3368 [10.1088/1751-8113/40/13/004].

The absence of logarithmic divergences in the spin and charge density correlations of the 1d Hubbard model

MASTROPIETRO, VIERI
2007-01-01

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.
2007
Pubblicato
Rilevanza internazionale
Articolo
Sì, ma tipo non specificato
Settore MAT/07 - FISICA MATEMATICA
English
Con Impact Factor ISI
RENORMALIZATION-GROUP; LUTTINGER MODEL; FERMI SYSTEMS; FIELD
22
Mastropietro, V. (2007). The absence of logarithmic divergences in the spin and charge density correlations of the 1d Hubbard model. JOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL, 40(13), 3347-3368 [10.1088/1751-8113/40/13/004].
Mastropietro, V
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/34079
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