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The selection of the ground state among nearly degenerate states due toquantum fluctuations is studied for the S=1/2 XY-like Heisenbergantiferromagnets on the triangular lattice in the magnetic field applied alongthe hard axis, which was first pointed out by Nikuni and Shiba. We find thatthe selected ground state sensitively depends on the degree of the anisotropyand the magnitude of the magnetic field. This dependence is similar to that inthe corresponding classical model at finite temperatures where various types offield induced phases appear due to the entropy effect. It is also found thatthe similarity of the selected states in the classical and quantum models arenot the case in a two-leg ladder lattice, although the lattice consists oftriangles locally and the ground state of this lattice in the classical case isthe same as that of the triangular lattice.Comment: 15 pages, 35 figure

Quantum Fluctuation-induced Phase Transition inS=1/2 XY-like Heisenberg Antiferromagnets on the Triangular Lattice