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Chinese Physics Letters

Ground State Properties of a Local Sine-Gordon Model with Two Scatters

Chen Yu-Guang, Chen Hong, Yumei Zhang

Published May 25, 2005• 0 citations
Publisher

Abstract

We investigate the local sine-Gordon model with two scatters by a variational method. The renormalization mass is calculated. It is found that there is an Ising-like phase transition, which is analogous in the global sine-Gordon model with two frequencies. The renormalization mass can be modulated by the distance between the two scatters.

DOI
10.1088/0256-307x/22/6/055

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We investigate the local sine-Gordon model with two scatters by a variational method. The renormalization mass is calculated. It is found that there is an Ising-like phase transition, which is analogous in the global sine-Gordon model with two frequencies. The renormalization mass can be modulated by the distance between the two scatters.
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A new procedure of trial variational wave functional is proposed for investigating the mass renormalization and the local structure of the ground state of a one-dimensional quantum sine-Gordon model with linear spatial modulation, whose ground state differs from that without modulation. The phase diagram obtained in parameters plane shows that the vertical part of the boundary between soliton lattice phase and incommensurate (IC) phase with vanishing gap sticks at , the IC phase can only appear for and the IC phase regime is enlarged with increasing spatial modulation in the case of definite parameter . The transition is of the continuous type on the vertical part of the boundary, while it is of the first order on the boundary for .