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Hysteresis in the antiferromagnetic random-field Ising model at zero temperature.
Lobisor Kurbah1, Prabodh Shukla
1Physics Department, North Eastern Hill University, Shillong, India.
We investigated hysteresis in the antiferromagnetic random-field Ising model at zero temperature. Exact 1D solutions for uniform and Gaussian random fields match numerical simulations, revealing hysteresis loop behavior.
Area of Science:
- Condensed Matter Physics
- Statistical Mechanics
- Magnetism
Background:
- Hysteresis is a key phenomenon in magnetic systems.
- Antiferromagnetic materials exhibit complex magnetic ordering.
- Random-field models are crucial for understanding disordered magnetic systems.
Purpose of the Study:
- To analyze hysteresis in the antiferromagnetic random-field Ising model at zero temperature.
- To compare exact one-dimensional solutions with numerical simulations.
- To investigate the impact of different random field distributions on hysteresis.
Main Methods:
- Adiabatic cycling of an external magnetic field between -∞ and ∞.
- Exact determination of the hysteresis loop in one dimension.
- Numerical simulations of the antiferromagnetic random-field Ising model.
- Consideration of uniform and Gaussian random field distributions.
Main Results:
- The hysteresis loop was precisely determined for both uniform and Gaussian random field distributions.
- Exact one-dimensional results were found to be in agreement with numerical simulations.
- The study provides a detailed characterization of hysteresis in this specific model.
Conclusions:
- The study successfully characterized hysteresis in the antiferromagnetic random-field Ising model.
- Agreement between analytical and numerical methods validates the findings.
- The results offer insights into the behavior of disordered magnetic systems.
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