Flux induced semiconducting behavior of a quantum network
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We show that a diamond shaped periodic network, recently proposed as a model of a spin filter (A. Aharony {\em et al.} \cite{aharon08}) is capable of behaving as a p-type or an n-type semiconductor depending on a suitable choice of the on-site potentials of the atoms occupying the vertices of the lattice, and the strength of the magnetic flux threading each plaquette of the network. A detailed study of the density of states of an infinite network is made together with the conductance of finite sized system to establish the idea.
4 pages, 7 figures
4 pages, 7 figures