(color online) Electronic transmission properties of the armchair (6,0) and zigzag (4,4) BNTs encapsulated with the silicon nanowire. (a) Equilibrium transmission spectrum for (6,0) BNT encapsulated with the silicon nanowire, the inset is its geometric structure. (b) Density of states for the (6,0) BNT encapsulated with the silicon nanowire, the inset illustrates the transmission channel at the Fermi level with eigenvalues of 0.8373. (c) Equilibrium transmission spectrum for the (4,4) BNT encapsulated with silicon nanowire, the inset is its geometric structure. (d) Density of states for the (4,4) BNT encapsulated with the silicon nanowire, the inset illustrates the transmission channel at the Fermi level with eigenvalues of 0.9972. The Fermi level is set to be zero.