Abstract
Objectives: We study transmission of polarized electrons through multilayered spintronics of the form of n-cell periodic (L/R)n and symmetric (L/R)nL multilayers. L and R are layers of ferromagnetic semiconductors or insulators. The multilayers are of arbitrary sizes with layer L of width a and layer R of width b. The number of cells n is arbitrary positive integer. For specific examples, we use ferromagnetic semiconductors Ga0.73Mn0.27N, In0.92Fe0.08As and Ga0.8Fe0.2N which have different sd-exchange energies. For the insulators, we use non-ferromagnetic insulator Al0.3Ga0.7As, and ferromagnetic insulator Al0.9Fe0.1Sb. Methods: For the purpose of the study, we will calculate transmission coefficients of polarized electrons through each multilayer by using the method of transfer matrix for finite periodic systems. Energy dependencies are analytically derived and generalize the transmission through several types of multilayered spintronics, accommodating an arbitrary number of cells and layer widths embedded between ferromagnetic semiconductors. Results will be derived for multilayers with ferromagnetic layers that are the same as or different from the ferromagnetic semiconductors embedded in the multilayer. Results: Various characteristics of transmissions are obtained from low transmissions to high transmissions with sharp peaks about certain energies, depending on the ferromagnetic semiconducting layers and the insulating layers being used for the multilayers. By varying the materials and sizes of the layers one can arrange desired transmissions such as those with high transmissions at resonances.
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