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The magnetic behaviors of a spin-1/2 alternating Heisenberg antiferromagneticchain in a staggered transverse magnetic field is studied by means of thedensity-matrix renormalization group method and Jordan-Wigner transformation.Quantum phase transitions of different types are observed in the S=1 Neel andXY-like gapless phases, which result from the competitions between thestaggered transverse field and magnetic orders induced by anisotropy andalternating interactions. The results are compared with the mean-field and someexactly resolved results.

Quantum phase transitions in a spin-1/2 alternating Heisenberg antiferromagnetic chain under a staggered transverse magnetic field