Assuming that stripes in doped antiferromagnets take a form of two leg ladder-like structures which separate antiferromagnetic domains with opposite direction of the staggered magnetization and assuming that spin Peierls order forms on rungs, we calculate the spectral function of a hole propagating in such a system. In the case of a ladder, longitudinal propagation of a hole may be described in terms of a position exchange between a single hole and a singlet on neighboring rungs. This is a first order process. Propagation of a hole in an antiferromagnetic background, on the contrary, is mediated by a third order process which involves twice the action of the hopping term and once the action of the exchange term in the model Hamiltonian, which is the t-J model. A hopping hole creates linear defects in the antiferromagnetic spin background. Defects are removed if a hole retraces a path along which it has previously moved. Since hopping processes are much faster than processes related to the exchange interaction (t>>J) a strong tendency towards confinement by linear defects manifests and the system may be described in terms of quasi-localized spin polarons. Hopping of these objects is mediated by above mentioned high order processes. An effective tight binding Hamiltonian for a quasiparticle propagating in the stripe background is a combination of a model for a bare hole propagating in the ladder-like domain walls and a model for a propagating spin polaron in antiferromagnetic domains. By adding contributions to the spectral function from horizontal and vertical stripes we obtain a pattern which is in qualitative agreement with the Fermi surface identified in a doped LSCO system at 1/8 hole filling by means of ARPES measurements.

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1. Bond-centered spin Peierls ordered stripes in cuprates