[01] Arezu Jahanshir, Department of Eng. Physic, Buein Zahra Technical University, Qazvin, Iran.

The mechanism of electron-hole interactions of the exciton system in GaAs and GaAlAs, semiconductors could be described by the quantomechanical approaches. The main study based on a two-body Coulomb system comprising electron-hole in an external magnetic field. Todays, modern technology allows semiconductor nanostructures like quantum dots and quantum wires to be synthesized in which a finite number of electrons are confined in a bounded volume of the order of atomic sizes. Controlling over the properties of exciton system is very important in spintronics technology. As electron-hole have spin, so in the external magnetic field we should present new quantum characteristics like different spin 1/2 and 3/2. On the other hand, exciton system separated on bright (electron-light hole system) and dark quasi-systems. A dark exciton is a quasi-system formed from a single electron bound to a single heavy hole with spin projection ± 3/2. Based on spins interactions in electron-hole system, we got too many different states in bounding electron with different type of hole that given us new characteristics in exciton system. The characteristics of this type of fundamental excitation, if confined inside a semiconductor, could be advantageous in modern spintronics technology and future super computers. As we know electron/hole with spin ± 1/2 are scalar charged particles. The description of the bound state characteristics of dark exciton is one of the main interesting subjects in quanto-optical mechanics; therefore calculation of relativistic corrections becomes necessary. We will consider this problem, according to the asymptotic behavior of the loop function in the scalar electrodynamics field and method oscillator representation in quantum physics. The method presented in this paper considers relativistic with Coulomb interaction. This work paves the way for the exploration of the fundamental properties and of the potential relevance of heavy-hole spin in quantum technologies. Therefore, according to the basis investigation of the asymptotically behavior of the loop function of scalar particles in the external electromagnet field and quantum field theory (QFT), the theoretical information on the exciton exotic quasi-system’s Hamiltonian, including the relativistic (spins) and nonperturbative effects were described.

Exotic Bound State, Spin Orbital Interactions, Heavy Hole, Green’s Function

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