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Dependence of the charge transport in tilted chains on the choice of two-body interaction
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We study tilted chains of spinless fermions in the presence of the nearest-neighbor density-density interaction for which the noninteracting counterpart displays Stark localization. We demonstrate that the latter two-body interaction can be decomposed into two (orthogonal) parts which, respectively, commute and do not commute with the single-particle Hamiltonian. We derive an explicit form of the noncommuting part that decreases with tilt and describes the nearest-neighbor correlated hopping and the pair-hopping interaction. When the density-density coupling is replaced by the pair-hopping interaction of the same magnitude then the charge dynamics may be faster by a few orders of magnitude than in the original model.
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Crossover from Wannier-Stark localization to charge density waves for interacting spinless fermions in one dimension
Spinless fermions in a tilted 1D lattice show an edge whose width grows as (2t+V)/F and, for strong repulsion, hosts a charge density wave.
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