magnetic fluxes φ$_{1}$ and φ$_{2}$ penetrated by left and right sub-rings of the interferometer and the differ- ence of these two fluxes. Several key features of electron transport have been observed those may be useful in manufacturing nanoelectronic devices. The most exotic features are: (i) existence of semi- conducting or metallic behavior, depending on the interferometer-to-electrode coupling strength, (ii) appearance of the anti-resonant states and (iii) un- conventional periodic behavior of the typical con- ductance/current as a function of the difference of two AB fluxes. Throughout our work, we have addressed the essential features of electron transport through a quantum interferometer with total number of atomic sites N = 4. Next, we have extended our discussion for an interferometer with higher num- ber of atomic sites where we set N = 15 to achieve an experimentally realizable system. In our model calculations, these typical numbers ( N = 4 and 15) are chosen only for the sake of simplicity. Though the results presented here change numerically with ring size ( N ), but all the basic features remain ex- actly invariant. To be more specific, it is impor- tant to note that, in real situation experimentally achievable rings have typical diameters within the range 0 . 4-0 . 6 µ m. In such a small ring, very high magnetic fields are required to produce a quantum flux. To overcome this situation, Hod et al. have studied extensively and proposed how to construct nanometer scale devices, based on Aharonov-Bohm interferometry, those can be operated in moderate magnetic fields [48, 49, 50, 51, 52]. sites in the vertical line connecting left and right sub-rings of a quantum interferometer. Therefore, changing the length of the vertical line, periodicity can be changed accordingly. 0 GLYPH<Minus> 10 GLYPH<Minus> 5 5 10 GLYPH<RArrow> GLYPH<CapDelta>Φ 0 .44 .22 GLYPH<LParen1> b GLYPH<RParen1> GLYPH<RArrow> g typ 0 GLYPH<Minus> 10 GLYPH<Minus> 5 5 10 GLYPH<RArrow> GLYPH<CapDelta>Φ 0 1.2 0.6 GLYPH<LParen1> a GLYPH<RParen1> GLYPH<RArrow> g typ Figure 7: (Color online). g$_{typ}$ -Δ φ curves in the strong-coupling limit for the interferometer with 15 atomic sites ( N = 15), where (a) φ = 0 . 4 and (b) φ = 0 . 8. The typical conductances are calculated at the energy E = 1 . 5. 4 Closing remarks To summarize, we have explored electron trans- port properties through a quantum interferome- ter using the single particle Green’s function for- malism. We have adopted a simple tight-binding framework to illustrate the bridge system, where the interferometer is sandwiched between two elec- trodes, viz, source and drain. We have done exact numerical calculation to study conductance-energy and current-voltage characteristics as functions of the interferometer-to-electrode coupling strength, This is our first step to describe the electron transport in a quantum interferometer. Here we have made several realistic approximations by ig- noring the effects of electron-electron correlation, electron-phonon interaction, disorder, temperature, etc. Over the last few many years people have studied a lot to incorporate the effect of electron- electron correlation in the study of electron trans- port, yet no such proper theory has been well es- tablished. Thus the inclusion of electron-electron 9