Ferromagnetic Bloch Line as a Bead on a String
Abstract
We present a simple model of a Bloch line in a thin-film ferromagnet with strong easy-axis and intermediate in-plane anisotropies. The meron is represented as a charged, massless particle that slides along the linear domain wall in a background magnetic field- a gyroscopic bead on a string. Its gyroscopic behavior dynamically isolates the wall segments on either side of the meron, motivating the model for a Bloch line as two strings joined at a moving boundary. The meron clamps the wall at this junction, completely reflecting low-amplitude spin waves that propagate along it. Out-of-plane and in-plane magnetic fields and spin-transfer torques then act in two ways: by exerting a force on the Bloch line itself, or by driving the wall as a whole. Predictions of this model are in agreement with numerical simulations.
Related
- Newton's Identity in Finite-Bead Fermionic Partition Function
- Inertia-Driven Information Flow and Symmetry Breaking in a Nonequilibrium Two-Bead System
- Single-and Multi-bead Coarse-grained Form Factors for SAXS Calculations
- Kinetic temperatures and inertial effects in a nonequilibrium bead-spring model
- Confinement in the three-state Potts quantum spin chain in extreme ferromagnetic limit
BibTeX
@misc{hoffmann2026ferromagnetic,
title = {{Ferromagnetic Bloch Line as a Bead on a String}},
author = {Jake Hoffmann and Oleg Tchernyshyov},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.05859},
eprint = {2610.05859},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.05859},
}
RIS
TY - UNPB
TI - Ferromagnetic Bloch Line as a Bead on a String
AU - Jake Hoffmann
AU - Oleg Tchernyshyov
PY - 2026
DA - 2026/10/05
PB - arXiv
DO - 10.48550/arxiv.2610.05859
UR - https://arxiv.org/abs/2610.05859
AB - We present a simple model of a Bloch line in a thin-film ferromagnet with strong easy-axis and intermediate in-plane anisotropies. The meron is represented as a charged, massless particle that slides along the linear domain wall in a background magnetic field- a gyroscopic bead on a string. Its gyroscopic behavior dynamically isolates the wall segments on either side of the meron, motivating the model for a Bloch line as two strings joined at a moving boundary. The meron clamps the wall at this junction, completely reflecting low-amplitude spin waves that propagate along it. Out-of-plane and in-plane magnetic fields and spin-transfer torques then act in two ways: by exerting a force on the Bloch line itself, or by driving the wall as a whole. Predictions of this model are in agreement with numerical simulations.
ER -