Solitonic self-sustained charge and energy transport on the superconducting cylinder

Fabrizio Canfora; Alex Giacomini; Nicolás Grandi; Julio Oliva; Aldo Vera

doi:10.1103/PhysRevD.107.065007

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Solitonic self-sustained charge and energy transport on the superconducting cylinder

Fabrizio Canfora, Alex Giacomini, Nicolás Grandi, Julio Oliva, Aldo Vera

DOI 10.1103/PhysRevD.107.065007 · Physical Review D

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Abstract

We present an exact time-dependent solution for a charged scalar field on a two-dimensional cylinder, that can be interpreted as representing a long-standing excitation on a S-wave superconducting state, which propagates along a nanotube constructed out of twisted bilayer graphene. The solution has a topological charge characterized by an integer number, which counts the winding of the Higgs phase winds around the cylinder. The resulting electric current generates its own electromagnetic field in a self-consistent way, without the need of any external fields to keep it alive.