Abstract
We predict a new state of matter in the triangular $t\ensuremath{-}J$ model in a high doping regime. Due to the altered role of quantum statistics the spins are ``localized'' in statistical Landau orbits, while the charge carriers form a Bose metal that feels the spins through random gauge fields. In contrast to the Fermi-liquid state, this state naturally exhibits a Curie-Weiss susceptibility, large thermopower, and linear-temperature resistivity, explaining the physics of Na${}_{x}$CoO${}_{2}$ at $x>0.5.$ A ``smoking gun'' prediction for neutron scattering is presented.
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