Incommensurate structures studied by a modified Density Matrix Renormalization Group Method

Details Incommensurate structures studied by a modified Density Matrix Renormalization Group Method Incommensurate structures studied by a modified Density Matrix Renormalization Group Method

1999-12-08

arxiv.org/abs/cond-mat/9912131v1

Phys. Rev. B 62 (2000) 3960

Physics

Condensed Matter

Statistical Mechanics

14 pages, 14 figures included in text, LaTeX2e, submitted to PRB, presented at MECO'24 1999 (Wittenberg, Germany)

Scientific paper

10.1103/PhysRevB.62.3960

A modified density matrix renormalization group (DMRG) method is introduced and applied to classical two-dimensional models: the anisotropic triangular nearest- neighbor Ising (ATNNI) model and the anisotropic triangular next-nearest-neighbor Ising (ANNNI) model. Phase diagrams of both models have complex structures and exhibit incommensurate phases. It was found that the incommensurate phase completely separates the disordered phase from one of the commensurate phases, i. e. the non-existence of the Lifshitz point in phase diagrams of both models was confirmed.

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