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Field theory of collinear and noncollinear magnetic order
by Oleg Tchernyshyov
Submission summary
Authors (as registered SciPost users): | Oleg Tchernyshyov |
Submission information | |
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Preprint Link: | https://arxiv.org/abs/2401.07171v2 (pdf) |
Date accepted: | 2024-08-22 |
Date submitted: | 2024-08-20 08:18 |
Submitted by: | Tchernyshyov, Oleg |
Submitted to: | SciPost Physics Lecture Notes |
Ontological classification | |
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Academic field: | Physics |
Specialties: |
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Approach: | Theoretical |
Abstract
These lecture notes from the 2023 Summer "School Principles and Applications of Symmetry in Magnetism" introduce the reader to the classical field theory of ferromagnets and antiferromagnets.
Author comments upon resubmission
List of changes
1. Indeed, the antiferromagnetic chain has a topological contribution to the total spin that is not included when the uniform magnetization is integrated over the chain length. I have added a new subsection 4.5 Net spin of the antiferromagnetic chain to explain this effect and cited the seminal theoretical works of Faddeev and Takhtajan (for S=1/2) and of Papanicolaou (for classical spins).
2. The passage has been rewritten to provide a more explicit reference to the included term.
3. This seems a bit controversial! I have changed the offending terminology and now refer to the "analogs" of the Landau-Lifshitz equation for antiferromagnets or to simply "equations of motion."
4. An infinitesimal increment of a unit-vector field is orthogonal to the original value (so that the unit length is preserved), hence zero z component. In Sec. 3.2.1, I initially referred to a finite deviation; the subsequent Taylor expansion has no first-order term for the z-component.
5. Two sentences have been added to explain the meaning of topological sectors.
6. The term "elipsis" has been replaced with "omitted terms."
7. The text has been edited to explicitly state that Eq. (80) for the magnetization fields is the same as Eqs. (77) and (78) for three spins. (These are the updated equations numbers reflecting the addition of a new subsection.)
Current status:
Editorial decision:
For Journal SciPost Physics Lecture Notes: Publish
(status: Editorial decision fixed and (if required) accepted by authors)
Reports on this Submission
Report
The author has provided clarifications and made additions that address the remarks of the first report.
I recommend publication of the lecture notes.
Recommendation
Publish (easily meets expectations and criteria for this Journal; among top 50%)