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Infinite geometric frustration in a cubic dipole cluster

URN to cite this document: urn:nbn:de:bvb:703-epub-3932-8

Title data

Schönke, Johannes ; Schneider, Tobias M. ; Rehberg, Ingo:
Infinite geometric frustration in a cubic dipole cluster.
In: Physical Review B. Vol. 91 (January 2015) Issue 2 . - No. 020410(R).
ISSN 0163-1829
DOI der Verlagsversion: https://doi.org/10.1103/PhysRevB.91.020410

Format:	PDF
Name:	PhysRevB.91.020410.pdf
Version:	Published Version
Available under License	German copyright law. This contribution is freely accessible with the consent of the copyright holder on the basis of an (DFG-funded) alliance or national license. The document may be used free of charge for personal use. In addition, the reproduction, editing, distribution and any kind of exploitation require the written consent of the respective rights holder.

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Abstract

The geometric arrangement of interacting (magnetic) dipoles is a question of fundamental importance in physics, chemistry, and engineering. Motivated by recent progress concerning the self-assembly of magnetic structures, the equilibrium orientation of eight interacting dipoles in a cubic cluster is investigated in detail. Instead of discrete equilibria we find a type of ground state consisting of infinitely many orientations. This continuum of energetically degenerate states represents a yet unknown form of magnetic frustration. The corresponding dipole rotations in the flat potential valley of this Goldstone mode enable the construction of frictionless magnetic couplings. Using computer-assisted algebraic geometry methods, we moreover completely enumerate all equilibrium configurations. The seemingly simple cubic system allows for exactly 9536 unstable discrete equilibria falling into 183 distinct energy families.

Further data

Item Type:	Article in a journal
Additional notes (visible to public):	Quelle der Zweitveröffentlichung: Physical Review B 91, 020410(R) doi:https://doi.org/10.1103/PhysRevB.91.020410
Keywords:	General theory and models of magnetic ordering; Self-organized systems; Magnetostatics, magnetic shielding, magnetic induction, boundary-value problems.
DDC Subjects:	500 Science > 530 Physics
Institutions of the University:	Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Physics > Former Professors > Chair Experimental Physics V - Univ.-Prof. Dr. Ingo Rehberg Profile Fields > Advanced Fields > Nonlinear Dynamics Faculties Faculties > Faculty of Mathematics, Physics und Computer Science Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Physics Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Physics > Chair Experimental Physics V Profile Fields Profile Fields > Advanced Fields Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Physics > Former Professors
Language:	English
Originates at UBT:	Yes
URN:	urn:nbn:de:bvb:703-epub-3932-8
Date Deposited:	20 Feb 2019 10:33
Last Modified:	30 Jun 2020 10:40
URI:	https://epub.uni-bayreuth.de/id/eprint/3932

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