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Abstract
The two-dimensional (2D) Heisenberg model with anisotropic exchange (Δ=1−Jx/Jz) and with negative next nearest neighbor exchange (J2) with S=1/2 is investigated by using the quantum-mechanical Monte-Carlo method. The energy, magnetic moment at a site, heat capacity, and spin-spin correlation functions are calculated. The stability regions for Néel ordering of spins as well as the strip-phase and gapless quantum spin liquid are determined in the interval Δ/2⩽J2/J1⩽1/(2Δ).
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