Metastable states in the J_{1}-J_{2} Ising model

Area of Science:

• Condensed Matter Physics
• Statistical Mechanics
• Computational Physics

Background:

• The J1-J2 Ising model on a square lattice is crucial for understanding magnetic phenomena.
• Spin frustration arises from competing magnetic interactions, leading to complex phase behaviors.
• Metastable states are critical in determining system dynamics and thermodynamics.

Purpose of the Study:

• To investigate the J1-J2 Ising model with antiferromagnetic coupling (J2) to induce spin frustration.
• To explore the existence and nature of metastable states at low temperatures.
• To compare theoretical predictions with simulation results for validation.

Main Methods:

• Utilizing the random local field approximation (RLFA) for theoretical analysis.
• Employing Monte Carlo (MC) simulations to model system behavior.
• Calculating energy barriers for individual spin flips to understand state stability.

Main Results:

• RLFA predicts zero-order parameter metastable states for p∈(0,1).
• MC simulations confirm metastable states with zero and arbitrary polarization.
• Polarization of metastable states depends on initial conditions, external field, and temperature.

Conclusions:

• The J1-J2 Ising model exhibits complex metastability due to spin frustration.
• Simulation results align with and expand upon RLFA predictions.
• Identified conditions and materials suitable for experimental verification of these magnetic phenomena.