Spin Filter, Spin Amplifier and Other Spintronic Applications in   Graphene Nanodisks
  Graphene nanodisk is a graphene derivative with a closed edge. The trigonal zigzag nanodisk with size $N$ has $N$-fold degenerated zero-energy states. A nanodisk can be interpletted as a quantum dot with an internal degree of freedom. The grand state of nanodisk has been argued to be a quasi-ferromagnet, which is a ferromagnetic-like states with a finite but very long life time. We investigate the spin-filter effects in the system made of nanodisks and leads based on the master equation. The finite-size effect on spin filter is intriguing due to a reaction from the polarization of incoming current to a quasi-ferromagnet. Analyzing the relaxation process with the use of the Landau-Lifshitz-Gilbert equation, we explore the response to four types of incoming currents, namely, unpolarized current, perfectly polarized current, partially polarized current and pulse polarized current. We propose some applications for spintronics, such as spin memory, spin amplifier, spin valve, spin-field-effect transistor and spin diode. 
Motohiko Ezawa