Incommensurate structures studied by a modified Density Matrix Renormalization Group Method

Abstract

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.

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

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Cited by in corpus (5)

• The density-matrix renormalization group
• New Trends in Density Matrix Renormalization
• Phase diagram of the 3D Axial-Next-Nearest-Neighbor Ising model
• The Density Matrix Renormalization Group technique with periodic boundary conditions
• The commensurate-disordered phase transition in 2D classical ATNNI model studied by DMRG