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Outline 1 Introduction to YbMgGaO4 and Beyond 2D candidate materials for S=1/2 spin liquids YbMgGaO4:A newly synthesized QSL candidate Hamiltonian of YbMgGaO4 2 Classical Ground-State Phase Diagram 3 Quantum Ground-State Phase Diagram Fidelity & Entropy via ED SMSF via DMRG Numerical results revelant to YbMgGaO4 4 Conclusions