Density Matrix Renormalization Group Study of the Disorder Line in the Quantum ANNNI Model

Details Density Matrix Renormalization Group Study of the Disorder Line in the Quantum ANNNI Model Density Matrix Renormalization Group Study of the Disorder Line in the Quantum ANNNI Model

2005-11-28

arxiv.org/abs/cond-mat/0511658v1

Phys.Rev.B73:052402,2006

Physics

Condensed Matter

Statistical Mechanics

4 pages, 5 eps figures

Scientific paper

10.1103/PhysRevB.73.052402

We apply Density Matrix Renormalization Group methods to study the phase diagram of the quantum ANNNI model in the region of low frustration where the ferromagnetic coupling is larger than the next-nearest-neighbor antiferromagnetic one. By Finite Size Scaling on lattices with up to 80 sites we locate precisely the transition line from the ferromagnetic phase to a paramagnetic phase without spatial modulation. We then measure and analyze the spin-spin correlation function in order to determine the disorder transition line where a modulation appears. We give strong numerical support to the conjecture that the Peschel-Emery one-dimensional line actually coincides with the disorder line. We also show that the critical exponent governing the vanishing of the modulation parameter at the disorder transition is $\beta_q = 1/2$.

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