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By Naim A. Malak Physics Department An-Najah National University, Nablus, Palestine

The Magnetic Properties of the Anti-collinear Phase under the Effects of a Uniform External Magnetic Field in a Two Dimensional Square Planar System. By Naim A. Malak Physics Department An-Najah National University, Nablus, Palestine 7- 8 / May / 2007 Supervised by

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By Naim A. Malak Physics Department An-Najah National University, Nablus, Palestine

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  1. The Magnetic Properties of the Anti-collinear Phase under the Effects of a Uniform External Magnetic Field in a Two Dimensional Square Planar System By Naim A. Malak Physics Department An-Najah National University, Nablus, Palestine 7- 8 / May / 2007 Supervised by Dr. Abdel-Ruhman M. Abu-Labdeh

  2. Outline Aim The Model in General Terms Monte Carlo Method Results Summary

  3. Aim To investigate the magnetic properties of the Anti-collinear Phase under the effects of a Uniform External Magnetic Field in an Anti-ferromagnetic Dipolar Planar System

  4. The Model in General Terms Where a set of two dimensional classical vectors of unit magnitude g : the strength of the dipolar interaction h : the strength of uniform external magnetic field parallel to X-axis J : the strength of the exchange interaction ( J< 0 )

  5. Monte Carlo Method • Constructing an infinite plane from replicas of a finite system • Using the Ewald Summation Technique • Using the slandered Metropolis Algorithm

  6. Results

  7. Spin Configurations at T=0.1,h=0.1Anti-collinear Phase

  8. Spin Configurations Perpendicular to the applied Field ( Dipolar Anti-ferromagnetic Phase )

  9. Spin Configurations at low T and high field Ferromagnetic Phase ( T=0.1, h=8.0 )

  10. Summary • The Phase Diagram Confirms The following results: * First Order Transition from the Dipolar Anti-ferromagnetic Phase to Ferromagnetic Phase * Second Order Transition from the Dipolar Anti-ferromagnetic Phase to Paramagnetic Phase • Besides that, Simulation Results exhibit stable (pi/4) spin configurations at very low ( field & temperature

  11. Acknowledgments • My father • Dr. Abdel-Ruhman M. Abu Labdeh for supervision • My friends; for help

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