Non-Fermi-liquid behavior for holes in doped two-dimensional antiferromagnets

Spin and hole excitations are investigated in the doped two-dimensional (2D) antiferromagnets described by the t-J model based on the spin-wave approximation. The polarizability of spin excitations is found to be consistent with the marginal-Fermi-liquid hypothesis. As a consequence, the imaginary part of the self-energy for holes scattered by the spin excitations is demonstrated to give a linear dependence in temperature T (for ωT)