Phase diagram of the 3D Axial-Next-Nearest-Neighbor Ising model
Andrej Gendiar, Tomotoshi Nishino
TL;DR
This paper constructs a detailed phase diagram for the 3D ANNNI model using a modified tensor approach, revealing complex magnetic structures, devil's stairs behavior, and differences from mean-field predictions.
Contribution
It introduces a modified tensor product variational approach to analyze the 3D ANNNI model, providing new insights into its phase diagram and magnetic structures.
Findings
Confirmed devil's stairs behavior in the model
Wavelength of spin modulated phases diverges at phase boundary
Narrower widths of commensurate phases compared to mean-field results
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.
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