Magnetic fabry-perot interferometer for valley filtering in silicene

Abstract

Graphene and silicene share several fundamental properties due to their similar honeycomb lattice structures. However, the replacement of car bon atoms with silicon atoms introduces unique characteristics in silicene. Silicene exhibits a buckled structure with alternating out-of-plane displace ments, significantly influencing its electronic, mechanical, and thermal prop erties. Unlike graphene, silicene possesses a bandgap, rendering it poten tially useful for electronic and optoelectronic applications. In this thesis, we start with the Dirac nature of quasi-particle in graphene and Silicene and the behavior of Landau levels in the presence of magnetic fields. In the case of graphene, the absence of a band gap allows low-energy electrons near the K and K1 points to propagate over long distances without scattering. This is a consequence of the linear dispersion relation and the absence of any energy barriers for electron transmission. As a result, electrons can ex hibit high electron mobility. Silicene has the advantage of non-degenerate valleys (K and K1 states) and also possesses a band gap as a result of the intrinsic spin-orbit coupling. In this thesis, we propose a quantum Fabry Perot geometry that filters out these non-degenerate valley states.