Phase diagram of the 3D Axial-Next-Nearest-Neighbor Ising model

Abstract

The three-dimensional axial-next-nearest-neighbor Ising (ANNNI) model is studied by a modified tensor product variational approach (TPVA). A global phase diagram is constructed with numerous commensurate and incommensurate magnetic structures. The devil's stairs behavior for the model is confirmed. The wavelength of the spin modulated phases increases to infinity at the boundary with the ferromagnetic phase. Widths of the commensurate phases are considerably narrower than those calculated by mean-field approximations.

arXiv comment8 pages, 12 figures, RevTeX4 format

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• Simulation of three-dimensional quantum systems with projected entangled-pair states
• Variational treatment of the Shastry-Sutherland antiferromagnet using Projected Entangled Pair States (PEPS)
• Phase Transitions of Ferromagnetic Potts Models on the Simple Cubic Lattice
• 1D Frustrated Ferromagnetic Model with Added Dzyaloshinskii-Moriya Interaction
• Monte Carlo Study of the Axial Next-Nearest-Neighbor Ising Model
• Universality of modulation length (and time) exponents
• A Monte Carlo Approach for Studying Microphases Applied to the Axial Next-Nearest-Neighbor Ising and the Ising-Coulomb Models
• Density of Yang-Lee zeros in the thermodynamic limit from tensor network methods
• Emergent quasicrystals in strongly correlated systems
• Modulation of Local Magnetization in two-dimensional Axial-Next-Nearest-Neighbor Ising model
• Efficient calculation of three-dimensional tensor networks
• Magnetic field-induced deformation of the spin-density wave microphases in Ca${}_3$Co${}_2$O${}_6$
• Modulated phases and devil's staircases in a layered mean-field version of the ANNNI model