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Simple Ising ferromagnet with chiral interactions.

William de Castilho1, S R Salinas1

  • 1Universidade de São Paulo, Instituto de Física, 05508-090 São Paulo, SP, Brazil.

Physical Review. E
|September 16, 2025
PubMed
Summary
This summary is machine-generated.

We developed a minimal Ising model with chiral interactions to study helical magnetic structures. This model reveals complex phase behavior and modulated structures, offering insights into magnetism.

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Area of Science:

  • Condensed Matter Physics
  • Magnetism
  • Statistical Mechanics

Background:

  • Magnetic systems can exhibit complex structures like helical phases.
  • The Dzyaloshinskii-Moriya mechanism is crucial for understanding chiral interactions in magnetism.
  • Ising models are fundamental for studying magnetic phase transitions.

Purpose of the Study:

  • To introduce a minimal Ising model incorporating chiral interactions.
  • To investigate the phase diagram and magnetic structures arising from these interactions.
  • To explore the onset of helical structures in magnetic systems.

Main Methods:

  • Utilizing a minimal Ising model with two spin types and chiral interactions.
  • Analyzing the phase diagram on a Cayley tree by studying discrete nonlinear map attractors.
  • Employing a layer-by-layer mean-field calculation for a related monoaxial Ising system on a cubic lattice.

Main Results:

  • The model exhibits complex phase behavior, including ordered and modulated structures.
  • The phase diagram analysis on a Cayley tree reveals rich magnetic ordering.
  • The discrete nonlinear map effectively captures the system's complex dynamics.
  • A mean-field approach provides insights into related lattice structures.

Conclusions:

  • The minimal Ising model with chiral interactions successfully reproduces complex magnetic phenomena.
  • Helical structures emerge from the interplay of ferromagnetic and chiral interactions.
  • This model serves as a simplified yet powerful tool for understanding magnetic phase diagrams and modulated phases.