Modulation of Local Magnetization in two-dimensional Axial-Next-Nearest-Neighbor Ising model

Abstract

The axial next-nearest-neighbor Ising model is studied in two dimensions at finite temperature using the density matrix renormalization group. The model exhibits phase transition of the second-order between the antiphase in low temperature and the modulated phase in high temperature. Observing the domain wall free energy, we confirm that the modulation period in high-temperature side is well explained by the free-fermion picture.

5 pages, 8 figures

References in corpus (6)

• The density-matrix renormalization group
• Density Matrix Renormalization Group Method for 2D Classical Models
• Infinitesimal incommensurate stripe phase in an axial next-nearest-neighbor Ising model in two dimensions
• Phase diagram of the 3D Axial-Next-Nearest-Neighbor Ising model
• A Numerical Transfer-Matrix Study of Surface-Tension Anisotropy in Ising Models on Square and Cubic Lattices
• The commensurate-disordered phase transition in 2D classical ATNNI model studied by DMRG

Cited by in corpus (7)

• Frustrated two dimensional quantum magnets
• Evidence for a floating phase of the transverse ANNNI model at high frustration
• Frustrated Quantum Spin Models with Cold Coulomb Crystals
• Floating Phase in 2D ANNNI Model
• Quantum phase transition as an interplay of Kitaev and Ising interactions
• Resolving the two-dimensional ANNNI model using transfer matrices
• Numerical transfer matrix study of frustrated next-nearest-neighbor Ising models on square lattices