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Using the tight-binding method and the Landauer-B\"{u}ttiker conductanceformalism, we demonstrate that a multiply connected armchair carbon nanotubewith a mirror-reflection symmetry can sustain an electron current of the$\pi$-bonding orbital while suppress that of the $\pi$-antibonding orbital overa certain energy range. Accordingly, the system behaves like an electronorbital valve and may be used as a scanning tunneling microscope to probepairing symmetry in d-wave superconductors or even orbital ordering in solidswhich is believed to occur in some transition-metal oxides.Comment: 4 figures, 12 page

Electron orbital valves made of multiply connected armchair carbon nanotubes with mirror-reflection symmetry: tight-binding study