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

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

2000-06-17

arxiv.org/abs/cond-mat/0006273v1

Phys.Rev. E62 (2000) 3262-3265

Physics

Condensed Matter

Statistical Mechanics

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

Scientific paper

10.1103/PhysRevE.62.3262

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.

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