Fractional charge excitations in fermionic ladders

Abstract

The system of interacting spinless fermions hopping on a two-leg ladder in the presence of an external magnetic field is shown to possess a long range order: the bond density wave or the staggered flux phase. In both cases the elementary excitations are $Z_2$ kinks and carry one half the charge of an electron.

4 pages, 3 figures

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• Emergent bosons in the fermionic two-leg flux ladder
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• Spontaneous Currents in Spinless Fermion Lattice Models at the Strong-Coupling Limit