Talk:Geometrical frustration

Reorganisation

Please seehere for what I propose! Chris 21:48, 29 June 2007 (UTC)[reply]

Merge with Geometrically frustrated magnet?

This page seems to have a great deal of overlap with Geometrically frustrated magnet, so maybe they should be merged. I would suggest that that article be merged into this one, to cover the general topic geometrical frustration, but I am not an expert in this field. Comments? --Chetvorno^TALK 18:45, 23 August 2008 (UTC)[reply]

Merge done by User:Suz115. Thanks, great job. --Chetvorno^TALK 20:27, 13 November 2008 (UTC)[reply]

Missing figures

Just a note to mention figures 7 and 8 are absent. Feel free to clean this note. —Preceding unsigned comment added by 122.107.147.8 (talk) 22:20, 25 October 2009 (UTC)[reply]

Artificial geometrically frustrated ferromagnets

Reinstated the version from 02:52, 15 November 2008‎ (and added title) -- rationale explained in edit summary. Seattle Jörg (talk) 08:28, 18 June 2015 (UTC)[reply]

Another merge

frustrated triangular lattice, content was

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Geometrical frustration occurs when a set of [[degrees of freedom]] is incompatible with the [[Space (mathematics)|space]] it occupies.

A purely [[geometry|geometric]] example of this is the impossibility of close-packing [[pentagon]]s in [[Two-dimensional space|two dimensions]]. Another is atomic [[magnetic moment]]s with [[Antiferromagnetism|antiferromagnetic]] interactions. These [[Moment (mathematics)|moments]] lower their [[interaction energy]] by pointing [[antiparallel (mathematics)|antiparallel]] to their neighbors.

In the case of two dimensional space, the [[triangular lattice]] is the simplest example of such frustration. With a triangular [[Lattice (group)|lattice]], the two spins can easily accommodate two sides, but the third spin is frustrated. If this third spin is up, then two arrangements out of the three are compatible, but one is incompatible. This leads to a huge degeneracy in the [[ground state]] with non-zero [[entropy]]. This frustration leads to breaking [[symmetry]], which leads to [[ferroelectricity]].

==Sources==
*Geometrically Frustrated Matter—Magnets to Molecules : A.P. Ramirez MRS BULLETIN • VOLUME 30 • JUNE 2005
*Geometrical Frustration : Roderich Moessner and A.P. Ramirez, February 2006, ''Physics Today''

[[Category:Concepts in physics]]
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Arlo James Barnes 08:46, 13 July 2022 (UTC)[reply]