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The emergence of superconductivity in doped Mott insulators has been debatedfor decades. In this paper, we report the theoretical discovery of atime-reversal symmetry breaking superconducting ground state in the doped Mottinsulator (described by the well known t-J model) on honeycomb lattice, basedon a recently developed variational method: the Grassmann tensor product stateapproach. As a benchmark, we use exact diagonalization and density-matrixrenormalization methods to check our results on small clusters. We findsystematic consistency for the ground-state energy as well as other physicalquantities, such as the staggered magnetization. At low doping, thesuperconductivity coexists with antiferromagnetic ordering.

Time-reversal symmetry breaking superconducting ground state in the doped Mott insulator on the honeycomb lattice