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Correlations in the sine-Gordon model with finite soliton density. / Aristov, D. N.; Luther, A.

In: Physical Review B - Condensed Matter and Materials Physics, Vol. 65, No. 16, 01.01.2002, p. 1-11.

Research output: Contribution to journal › Article › peer-review

Harvard

Aristov, DN & Luther, A 2002, 'Correlations in the sine-Gordon model with finite soliton density', Physical Review B - Condensed Matter and Materials Physics, vol. 65, no. 16, pp. 1-11. https://doi.org/10.1103/PhysRevB.65.165412

APA

Aristov, D. N., & Luther, A. (2002). Correlations in the sine-Gordon model with finite soliton density. Physical Review B - Condensed Matter and Materials Physics, 65(16), 1-11. https://doi.org/10.1103/PhysRevB.65.165412

Vancouver

Aristov DN, Luther A. Correlations in the sine-Gordon model with finite soliton density. Physical Review B - Condensed Matter and Materials Physics. 2002 Jan 1;65(16):1-11. https://doi.org/10.1103/PhysRevB.65.165412

Author

Aristov, D. N. ; Luther, A. / Correlations in the sine-Gordon model with finite soliton density. In: Physical Review B - Condensed Matter and Materials Physics. 2002 ; Vol. 65, No. 16. pp. 1-11.

BibTeX

@article{c7e178be935f4141bb918e80c533ab57,
title = "Correlations in the sine-Gordon model with finite soliton density",
abstract = "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 Wentzel-Kramers-Brillouin 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 infrared divergencies. The behavior of the density-type correlation functions is nontrivial and we demonstrate the existence of leading and subleading 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 (formula presented) harmonics.",
author = "Aristov, {D. N.} and A. Luther",
year = "2002",
month = jan,
day = "1",
doi = "10.1103/PhysRevB.65.165412",
language = "English",
volume = "65",
pages = "1--11",
journal = "Physical Review B-Condensed Matter",
issn = "1098-0121",
publisher = "American Physical Society",
number = "16",

}

RIS

TY - JOUR

T1 - Correlations in the sine-Gordon model with finite soliton density

AU - Aristov, D. N.

AU - Luther, A.

PY - 2002/1/1

Y1 - 2002/1/1

N2 - 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 Wentzel-Kramers-Brillouin 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 infrared divergencies. The behavior of the density-type correlation functions is nontrivial and we demonstrate the existence of leading and subleading 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 (formula presented) harmonics.

AB - 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 Wentzel-Kramers-Brillouin 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 infrared divergencies. The behavior of the density-type correlation functions is nontrivial and we demonstrate the existence of leading and subleading 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 (formula presented) harmonics.

UR - http://www.scopus.com/inward/record.url?scp=85038315642&partnerID=8YFLogxK

U2 - 10.1103/PhysRevB.65.165412

DO - 10.1103/PhysRevB.65.165412

M3 - Article

AN - SCOPUS:85038315642

VL - 65

SP - 1

EP - 11

JO - Physical Review B-Condensed Matter

JF - Physical Review B-Condensed Matter

SN - 1098-0121

IS - 16

ER -

ID: 36119764