Statistical fluxes and the Curie-Weiss metal state

We predict a new state of matter in the triangular t-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 \textrm{Na}$_{x}$\textrm{CoO}$_{2}$ at $x>0.5.$ A `smoking gun' prediction for neutron scattering is presented.

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