Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2006-02-13
Phys.Rev. D74 (2006) 025012
Physics
High Energy Physics
High Energy Physics - Theory
9 pages, 4 figures
Scientific paper
10.1103/PhysRevD.74.025012
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 $m_f$ 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, $\omega_k =k$, the new dispersion relation is well fit by $\omega \approx m_f tanh(k/k_*)$ where $k_*=m_f$ 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 $\sim m_f$.
Ferrer Francesc
Mathur Harsh
Starkman Glenn D.
Vachaspati Tanmay
No associations
LandOfFree
Zero modes on cosmic strings in an external magnetic field does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Zero modes on cosmic strings in an external magnetic field, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Zero modes on cosmic strings in an external magnetic field will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-568148