摘要: The motion of a single hole in two-dimensional Heisenberg antiferromagnet (hAF) is studied representation where holes are described as spinless fermions (holons) and spins normal bosons. Assuming long-range AF order the spin dynamics treated linear spin-wave theory. formulation highlights close relation with conventional polaron problem. holon Green's function calculated self-consistently within Born approximation using finite-cluster geometries for numerical solution. As remarkable result we find agreement spectral A(k,\ensuremath{\omega}) by exact diagonalization methods. characterized narrow quasiparticle (QP) peak at low-energy side spectrum, which well separated from incoherent part large enough J values. A complete characterization our solution given, including weight, dispersion relation, effective masses QP state. finite-size-scaling study gives nonvanishing weight thermodynamic limit values J/t typical copper oxide superconductors. Our calculations indicate that self-consistent valuable scheme characterizing t-J model, even strong-coupling regime.