Tips

• Penalty Term Dependence
• • Spin Configuration Sampling
  • Results
  • Computational Details
• RWIGS Dependence
• • Setup
  • Torque Analysis
  • Heisenberg Exchange Parameters
  • Computational Details
• Mean-Field Sampling: Generating Thermal Spin Configurations
• • 1. Single-Site Distribution on the Sphere
  • 2. Magnetization–Temperature Self-Consistency
  • 3. Exact Sampling Algorithm
  • 4. Limiting Regimes and Numerical Guards
  • 5. Per-Atom Controls
  • 6. Usage
• Mean-Field Analysis: Finding the Ordering Wave Vector
• • 1. Classical Spin Hamiltonian
  • 2. Mean-Field Decomposition
  • 3. Self-Consistent Equation and Linearization Near $T_C$
  • 4. Fourier Representation and the Matrix Equation
  • 5. Ordering Wavevector and Transition Temperature
  • 6. Implementation in mfa_analysis.jl
  • 7. Usage