Holons on a meandering stripe: Quantum numbers

We attempt to access the regime of strong coupling between charge carriers and transverse dynamics of an isolated conducting ''stripe," such as those found in cuprate superconductors. A stripe is modeled as a partially doped domain wall in an antiferromagnet (AF), introduced in the context of two di fferent models: the t-J model with strong Ising anisotropy, and the Hubbard model in the Hartree-Fock approximation. The domain walls with a given lin ear charge density are supported artificially by boundary conditions. In bo th models we find a regime of parameters where doped holes lose their spin and become holons (charge Q=1, spin S-3=0), which can move along the stripe without frustrating AF environment. One aspect in which the holons on the AF domain wall differ from those in an ordinary one-dimensional electron ga s is their transverse degree of freedom: a mobile holon always resides on a transverse kink (or antikink) of the domain wall. This gives rise to two h olon flavors and to a strong coupling between doped charges and transverse fluctuations of st stripe.