2006/02/13 by Francesc Ferrer, Harsh Mathur, Tanmay Vachaspati +1
Physics and Astronomy · #Cosmology and Gravitation Theories #Dark Matter and Cosmic Phenomena #Quantum Electrodynamics and Casimir Effect #astro-ph #cond-mat.other #hep-th
paper · pdf · doi:10.1103/physrevd.74.025012
published as Phys.Rev. D74 (2006) 025012 · 9 pages, 4 figures
arxiv created 2006/02/13 · openalex publication_date 2006/07/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A classical analysis suggests that an external magnetic field can cause trajectories of charge carriers on a superconducting domain wall or cosmic string to bend, thus expelling charge carriers with energy above the mass threshold into the bulk. We study this process by solving the Dirac equation for a fermion of mass mf and charge e, in the background of a domain wall and a magnetic field of strength B. We find that the modes of the charge carriers get shifted into the bulk, in agreement with classical expectations. However the dispersion relation for the zero modes changes dramatically---instead of the usual linear dispersion relation, \ensuremathωk=k, the new dispersion relation is well fit by \ensuremathω\ensuremath≈mftanh(k/k*) where k*=mf for a thin wall in the weak field limit, and k*=eBw for a thick wall of width w. This result shows that the energy of the charge carriers on the domain wall remains below the threshold for expulsion even in the presence of an external magnetic field. If charge carriers are expelled due to an additional perturbation, they are most likely to be ejected at the threshold energy \ensuremath∼mf.