paper

Spontaneous symmetry breaking in the finite, lattice quantum sine-Gordon model

arXiv:cond-mat/0006273 · doi:10.1103/PhysRevE.62.3262

Abstract

The spontaneous breaking of a global discrete translational symmetry in the finite, lattice quantum sine-Gordon model is demonstrated by a density matrix renormalization group. A phase diagram in the coupling constant - inverse system size plane is obtained. Comparison of the phase diagram with a Woomany-Wyld finite-size scaling leads to an identification of the Berezinskii-Kosterlitz-Thouless transition in the quantum sine-Gordon model as the spontaneous symmetry breaking.

15 pages including figures, to appear in Phys. Rev. E