Minimizing frustration

Geometrical Frustration

© 2006 American Institute of Physics, S-0031-9228-0602-010-2 T ancient Greeks were aware of the phenomenon of magnetic order in lodestone, a type of rock containing the ferromagnet magnetite Fe3O4. Magnetic moments in a ferromagnet tend to align and thereby sum to an easily observed macroscopic magnetic moment. The absence of such a moment even in ordered antiferromagnets is the reason their di...

Modeling Searcher Frustration

When search engine users have trouble finding what they are looking for, they become frustrated. In a pilot study, we found that 36% of queries submitted end with users being moderately to extremely frustrated. By modeling searcher frustration, search engines can predict the current state of user frustration, tailor the search experience to help the user find what they are looking for, and aver...

Frustration effects inmagneticmolecules

By means of exact diagonalization we study the ground-state and the low-temperature physics of the Heisenberg antiferromagnet on the cuboctahedron and the icosidodecahedron. Both are frustrated magnetic polytopes and correspond to the arrangement of magnetic atoms in the magnetic molecules Cu12La8 and Mo72Fe30. The interplay of strong quantum fluctuations and frustration influences the ground s...

Frustration with Fat Graphs

We consider the effect of geometric frustration induced by the random distribution of loop lengths in the “fat” graphs of the dynamical triangulations model on coupled antiferromagnets. While the influence of such connectivity disorder is rather mild for ferromagnets in that an ordered phase persists and only the properties of the phase transition are substantially changed in some cases, any fi...

Progress, frustration and controversy.