Correlations in the Sine-Gordon Model with Finite Soliton Density

Details Correlations in the Sine-Gordon Model with Finite Soliton Density Correlations in the Sine-Gordon Model with Finite Soliton Density

2001-07-14

arxiv.org/abs/cond-mat/0107320v2

Phys.Rev. B65 (2002) 165412

Physics

Condensed Matter

Strongly Correlated Electrons

12 pages, 3 eps figures, REVTEX; a discussion of fermions is added

Scientific paper

10.1103/PhysRevB.65.165412

We study the sine-Gordon (SG) model at finite densities of the topological charge and small SG interaction constant, related to the one-dimensional Hubbard model near half-filling. Using the modified WKB approach, we find that the spectrum of the Gaussian fluctuations around the classical solution reproduces the results of the Bethe ansatz studies. The modification of the collective coordinate method allows us to write down the action, free from infra-red divergencies. The behaviour of the density-type correlation functions is non-trivial and we demonstrate the existence of leading and sub-leading asymptotes. A consistent definition of the charge-raising operator is discussed. The superconducting-type correlations are shown to decrease slowly at small soliton densities, while the spectral weight of right (left) moving fermions is spread over neighboring "4k_F" harmonics.

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