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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 Konstantinidis
Submission information
Preprint Link: scipost_202208_00004v3  (pdf)
Date accepted: 2023-01-10
Date submitted: 2022-10-27 10:56
Submitted by: Konstantinidis, Nikolaos
Submitted to: SciPost Physics
Ontological classification
Academic field: Physics
Specialties:
  • Condensed Matter Physics - Theory
  • Condensed Matter Physics - Computational
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

Anonymous Report 1 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.

  • validity: high
  • significance: good
  • originality: good
  • clarity: high
  • formatting: excellent
  • grammar: excellent

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