The phase diagram of the one-dimensional quantum sine-Gordon system (β2=4π) with a linear spatial modulation

Abstract

The one-dimensional quantum sine-Gordon system with a linear spatial modulation is investigated in a special case, β2 =4π. The model is tranformed into a massive Thirring model and then is exactly diagonalized, the energy spetrum of the model is obtained. Our result clearly demonstrates that cancelling the cosine term without any considering is unadvisable.

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