Bond-Peierls polaron: Moderate mass enhancement and current-carrying ground state

We study polarons in the one-dimensional Bond-Peierls electron-phonon model which phonons on bonds of a lattice modulate hopping electrons between sites and contrast results to those known for breathing-mode Peierls problem. By inspecting atomic limit, we show that polaronic dressing mass enhancement depend momentum dependence phonons. For dispersionless phonons, are perfectly localized unlike their counterparts because carrier creates string phonon excitations can only be annihilated via processes retrace its original site. However, inclusion dispersion leads nondivergent polaron even limit depending form may lead transition non-zero-momentum ground state akin found model.