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

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.

Note:

9 pages, 6 figures, accepted in Phys. Rev. D

field theory: scalar
solution: time dependence
dimension: 2
charge: topological
current: electric
cylinder
superconductivity
external field
excited state
graphene

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