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The three-dimensional (3D) Dirac point, where two Weyl points overlap inmomentum space, is usually unstable and hard to realize. Here we show, based onthe first-principles calculations and effective model analysis, thatcrystalline $A_3$Bi ($A$=Na, K, Rb) are Dirac semimetals with bulk 3D Diracpoints protected by crystal symmetry. They possess non-trivial Fermi arcs onthe surfaces, and can be driven into various topologically distinct phases byexplicit breaking of symmetries. Giant diamagnetism, linear quantummagnetoresistance, and quantum spin-Hall effect will be expected for suchcompounds.

Dirac semimetal and topological phase transitions in A3Bi (A=Na, K, Rb)