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Competition between frustration and spin dimensionality in the classical antifer romagnetic $n$-vector model with arbitrary $n$
by N. P. Konstantinidis
This Submission thread is now published as
Submission summary
| Authors (as registered SciPost users): | Nikolaos P. Konstantinidis |
| Submission information | |
|---|---|
| Preprint Link: | scipost_202208_00004v3 (pdf) |
| Date accepted: | Jan. 10, 2023 |
| Date submitted: | Oct. 27, 2022, 10:56 a.m. |
| Submitted by: | Nikolaos P. Konstantinidis |
| Submitted to: | SciPost Physics |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
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| Approaches: | Theoretical, Computational |
Abstract
A new method to characterize the strength of magnetic frustration is proposed by calculating the minimum dimensionality of the absolute ground state of the classical nearest-neighbor antiferromagnetic $n$-vector model with arbitrary $n$. Platonic solids in three and four dimensions and Archimedean solids have lowest-energy configurations in a number of spin dimensions equal to their real-space dimensionality. Fullerene molecules and geodesic icosahedra can produce ground states in as many as five spin dimensions. Frustration is also characterized by the maximum value of the ground-state energy when the exchange interactions are allowed to vary.
Published as SciPost Phys. Core 6, 042 (2023)
Reports on this Submission
Report #1 by Anonymous (Referee 4) on 2022-11-6 (Invited Report)
- Cite as: Anonymous, Report on arXiv:scipost_202208_00004v3, delivered 2022-11-06, doi: 10.21468/SciPost.Report.6060
Strengths
It is a comprehensive work on magnetic frustration for various theoretical model spin systems.
Weaknesses
This work extends the existing knowledge about magnetic frustration in model spin systems, but I don't see any significant impact for that on the physics of these systems. Furthermore, I am missing a connection to existing systems and/or experimental studies.
Report
The manuscript does not meet the acceptance criteria of the journal. I recommend publishing it in SciPost Physics Core.