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Journal of Tongji University

Theoretical Study of Tunneling Effect in One-dimensional Quantum Sine-Gordon Model

Yumei Zhang

Published Jan 1, 2000• 0 citations
OpenAlex

Abstract

The tunneling effect in one-dimensional quantum Sine-Gordon model is studied by variational Gaussian wave functional method. It is shown that the tunneling effect will disappear when one-dimensional Sine-Gordon model's length tends towards infinity. The tunneling effect only plays its role in one-dimensional quantum Sine-Gordon system with finite length.

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The tunneling effect in one-dimensional quantum Sine-Gordon model is studied by variational Gaussian wave functional method. It is shown that the tunneling effect will disappear when one-dimensional Sine-Gordon model's length tends towards infinity. The tunneling effect only plays its role in one-dimensional quantum Sine-Gordon system with finite length.
The (1+1)-dimensional sine-Gordon model is studied in the framework of the variational Gaussian wave functionals. The renormalized mass depends on two dimensionless parameters. In the phase diagram a first-order phase transition will replace the second-order phase transition for large bare mass. The spectrum of the two-particle states consists of a continuum of scattering states and the isolated values connected to the excitonlike bound states. The energy of the bound states and the phase shifts of the scattering states are explicitly calculated.
The phase structures of one-dimensional quantum sine-Gordon–Thirring model with N-impurities coupling are studied in this paper. The effective actions at finite temperature are derived by means of the perturbation and non-perturbation functional integrals method. The stability of coexistence phase is analyzed respectively in the weak and strong coupling case. It is shown that the coexistence phase is not stable when fermions have an attractive potential g < 0, and the stable coexistence phase can form when fermions have an exclude potential g > 0.