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To explore the nature of the metallic state near the transition to a Mottinsulator we investigate the t-J model with random exchange interaction ind=infinity dimensions. A numerically exact solution is obtained by an extensionof the continuous-time quantum Monte Carlo (CT-QMC) method to the case of avector bosonic field coupled to a local spin. We show that the paramagneticsolution near the Mott insulator describes an incoherent metal with a residualmoment, and that single-particle excitations produce an additional band, whichis separated from the Mott-Hubbard band.

Numerical solution of the t-J model with random exchange couplings in d=infinity dimensions