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

CANFORA, FABRIZIO; GIACOMINI, ALEX; GRANDI, NICOLÁS; OLIVA, JULIO; VERA, ALDO

Physical Review D

American Physical Society

Año: 2023 vol. 107

2470-0010

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.