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Highly Correlated Electrons on Triangular Lattice; Mott Criticality, Spin Liquid and Superconductivity Kazushi Kanodaa , Yasuhiro Shimizua , Fumitaka Kagawaa, Yosuke Kurosakia, Hajime Kasaharaa, Kazuya Miyagawaa, Mitsuhiko Maesatob , and Gunzi Saitob a b Department of Applied Physics, University of Tokyo, Japan and CREST-JST, Japan Division of Chemistry, Graduate School of Science, Kyoto University, Japan The layered organics, κ-(ET)2 X, are model systems for the study of strongly correlated half-filled-band electrons. Here we present two progresses in the Mott physics contributed by our transport and NMR studies on this family of materials. One is the Mott criticality in 2D. κ-(ET)2 Cu[N(CN)2 ]Cl is a Mott insulator with a quite low critical pressure to Mott transition. The resistance measurements of this material under precisely controlled pressure showed that the first-order Mott transition has a critical endpoint at 40 K, where the resistive jump against pressure vanishes and the pressure derivative of resistance is divergent. Remarkably, the transport critical exponents obtained do not belong to any universality class known so far. The other is realization of the spin liquid and its Mott transition. The Mott insulator κ-(ET)2 Cu2 (CN)3 has a nearly isotropic triangular lattice and is a model system of frustrated quantum spins. The 1 H and 13 C NMR experiments showed no indication of magnetic ordering down to 30 mK. The spins are likely in the quantum liquid state. Under pressure, it undergoes Mott transition to the Fermi liquid which shows superconductivity at low temperatures. We present the phase diagram and the NMR behavior of the superconductivity emerging from the spin liquid. Sorting category: Cb Magnetism and properties of solids Keywords: Mott transition, criticality, spin liquid INVITED PAPER LT2529