Quantum Dots in Ferromagnetic H eisenb erg Mo del

  • Aiman Al-Omari Jerash University
  • Reim Almotiri King Abdul-Aziz University
Keywords: Quantum Dots, Ferromagnetism, Heisenberg Hamiltonian, Spin Wave Theory


Quantum Dots (QDs) are semiconductor-nanostructure materials which are also
called articial atoms. QDs are classied as ferromagnetic material. Theoretically,
Heisenberg model is regarded as a good model in describing these QDs. We applied
Spin Wave Theory (SWT) on the above mentioned model to explore the physical
properties of these materials, such as ground state energy, excitation energy and
magnetization. We found that the ground state energy " g increased with the applied
external magnetic eld B as B 0 : 3. A phase transition was also observed around B~1T,
which indicate a transition from singlet to a triplet state. Staggered magnetization
reaches saturation around this point of transition

Author Biographies

Aiman Al-Omari, Jerash University

Department of Physics, Jerash University, Jearsh, Jordan

Reim Almotiri, King Abdul-Aziz University

Department of Physics, King Abdul-Aziz University, Jedah, KSA