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

TL;DR

This paper explores the behavior of small charge solitons in one-dimensional Josephson junction arrays, revealing their dispersion, Lorentz contraction, and broadening effects in different regimes.

Contribution

It introduces a new parameter regime for small charge solitons and analyzes their dispersion relation and dynamic properties in this regime.

Findings

Dispersion relation of solitons flattens in the outer Brillouin zone

Lorentz contraction observed in the middle of the Brillouin zone

Soliton broadening occurs in the flat band regime

Abstract

We identify and investigate the new 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.