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Theory of small charge solitons in one-dimensional arrays of Josephson junctions

Stephan Rachel, Alexander Shnirman

DOI 10.1103/PhysRevB.80.180508 · Physical Review B

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Abstract

We identify and investigate the parameter regime of small charge solitons in one-dimensional arrays of Josephson junctions. We obtain the dispersion relation of the soliton and show that it unexpectedly flattens in the outer region of the Brillouin zone. We demonstrate Lorentz contraction of the soliton in the middle of the Brillouin zone as well as broadening of the soliton in the flat band regime.

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