Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Acta Physica Sinica

ELEMENTARY EXCITATIONS OF ONE-DIMENSIONALQUANTUM SINE-GORDON MODEL

CHEN YU-GUANG, YUAN QING-SHAN, Chen Hong, Yumei Zhang, Wu Xiang, 同济大学波耳固体物理研究所

Published Jan 1, 1997• 2 citations
Publisher

Abstract

Using the-self-consistent quantum perturbation theory, we study the elementary excitaton of one-dimensional sine-Gordon model described by parameters α0 and β0. It is demonstrated in this article that the elementary excitations consist of quantum solitons and antisolitons.Under the condition α020≤8π,our results for the gaps agree with the exact results of the Thirring model and the half-filling Hubbard model based on the bosonization techniques.

DOI
10.7498/aps.46.1174

Related papers

Regularized Integrable Version of the One-Dimensional Quantum Sine-Gordon Model

G. I. Japaridze, A. A. Nersesyan, Paul B. Wiegmann

We derive a regularized exactly solvable version of the one-dimensional quantum Sine-Gordon model proceeding from the exact solution of the U (1)-symmetric Thirring model. The ground state and the excitation spectrum are obtained in the region β 2 < 8 π.

Physica Scripta•Jan 1, 1983•13 citations

Bound state in a one-dimensional quantum sine-Gordon model

Qingshan Yuan, Yuguang Chen, Hong Chen +1 more

The impurity problem in a one-dimensional quantum sine-Gordon model is studied in this paper. We use an analytic self-consistent theory to derive the excitation spectrum of the global sine-Gordon model, and then to study the bound state induced by local impurity. We give the conditions where an impurity level exists within the global gap of the excitation spectrum and show the possibility of the existence of a threshold value about the model parameter.

Physical review. B, Condensed matter•Jan 15, 1998•1 citation

Quantum field ground state of the sine-Gordon model with finite soliton density: exact results

F. D. M. Haldane

The Bethe ansatz solutions of the massive Thirring model are renormalised and used to obtain exactly the ground-state properties of the sine-Gordon model with a finite density of topological solitons. Using a theory of 1D quantum fluids, the correlation function exponents and low-energy excitation spectrum are obtained. Expansions in various limits are given, and various crossovers described.

Journal of Physics A Mathematical and General•Feb 1, 1982•55 citations

Quantum solitons in one-dimensional conductors

Alan H. Luther

The excitation spectrum in several models of the one-dimensional electron gas is calculated. The models studied are the backward scattering model, charge transfer model, and strong-coupling spinless fermion model, with no restrictions on the interaction strengths. All can exhibit new types of elementary excitations which are identified as quantum solitons and bound solitons. These excitations can participate in transport, and are exponentially activated at low temperatures. The gap energy is calculated for arbitrary coupling strengths in the various models, using a procedure which exactly solves the quantum sine-Gordon equation in one dimension.

Physical review. B, Solid state•Jan 1, 1977•55 citations

Finite temperature excitations of the quantum sine-Gordon–massive Thirring model: Variation of the soliton mass with coupling constant and temperature

Michael Durnan Johnson, Michael Fowler

For the quantum sine-Gordon--massive Thirring model at finite temperature, the relationship between the Bethe ansatz ``elementary excitations'' and physical excitations of the system is examined. The thermodynamic equations are written in terms of a set of dressed particles in the general case. We find that the recently predicted soliton mass discontinuity (on varying coupling strength at finite temperature) is not a real effect--the function exhibiting the discontinuity does not correspond to the mass of the soliton.

Physical review. B, Condensed matter•Jan 1, 1985•9 citations

Correlations in the sine-Gordon model with finite soliton density

D. N. Aristov, Alan H. Luther

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 $``{4k}_{F}''$ harmonics.

arXiv:cond-mat/0107320•Physical review. B, Condensed matter•Apr 4, 2002•21 citations
Using the-self-consistent quantum perturbation theory, we study the elementary excitaton of one-dimensional sine-Gordon model described by parameters α0 and β0. It is demonstrated in this article that the elementary excitations consist of quantum solitons and antisolitons.Under the condition α020≤8π,our results for the gaps agree with the exact results of the Thirring model and the half-filling Hubbard model based on the bosonization techniques.
The excitation spectrum in several models of the one-dimensional electron gas is calculated. The models studied are the backward scattering model, charge transfer model, and strong-coupling spinless fermion model, with no restrictions on the interaction strengths. All can exhibit new types of elementary excitations which are identified as quantum solitons and bound solitons. These excitations can participate in transport, and are exponentially activated at low temperatures. The gap energy is calculated for arbitrary coupling strengths in the various models, using a procedure which exactly solves the quantum sine-Gordon equation in one dimension.
For the quantum sine-Gordon--massive Thirring model at finite temperature, the relationship between the Bethe ansatz ``elementary excitations'' and physical excitations of the system is examined. The thermodynamic equations are written in terms of a set of dressed particles in the general case. We find that the recently predicted soliton mass discontinuity (on varying coupling strength at finite temperature) is not a real effect--the function exhibiting the discontinuity does not correspond to the mass of the soliton.
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 ‘‘4kF′′``{4k}_{F}''‘‘4kF′′​ harmonics.