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Graphene nanodisk is a graphene derivative with a closed edge. The trigonalzigzag nanodisk with size $N$ has $N$-fold degenerated zero-energy states. Ananodisk can be interpletted as a quantum dot with an internal degree offreedom. 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. Weinvestigate the spin-filter effects in the system made of nanodisks and leadsbased on the master equation. The finite-size effect on spin filter isintriguing due to a reaction from the polarization of incoming current to aquasi-ferromagnet. Analyzing the relaxation process with the use of theLandau-Lifshitz-Gilbert equation, we explore the response to four types ofincoming currents, namely, unpolarized current, perfectly polarized current,partially polarized current and pulse polarized current. We propose someapplications for spintronics, such as spin memory, spin amplifier, spin valve,spin-field-effect transistor and spin diode.

Spin Filter, Spin Amplifier and Other Spintronic Applications in Graphene Nanodisks