Background and Methods of Highly Frustrated Magnetism 2012

In the last few decades, there has been a marked rise in the diversity of compounds studied with frustrated networks of spins. This was clearly not the case in the early days of this field, where only a handful of “model” systems were being studied (ie. in two dimensions, the triangular or kagome lattices, and in three dimensions, the pyrochlore lattice).  Solid state chemists have played a major role in not only the identification of new geometrically frustrated materials, but also in the synthesis of high quality crystals with low degrees of chemical disorder that are essential for direct comparisons to theory. In this tutorial, strategies for the discovery of new frustrated materials and their synthesis will be reviewed, with an emphasis on recent advances in the literature.

Artificial spin ice was invented in 2006 by Peter Schiffer's group as a large-scale model of pyrochlore spin ice. Their system, an array of mesoscopic magnets with submicron dimensions, offered a way to observe the physics of ice rules at the level of individual, albeit large, spins. Today we have artificial magnetic arrays that follow the ice rules almost flawlessly, which makes them better ice models than their natural counterparts. We will highlight both similarities and differences between natural and artificial versions of spin ice. Large differences are expected in the dynamics of these systems. Mesoscopic spins easily transfer energy to internal degrees of freedom. Putting them in motion typically requires driving the system far from equilibrium. Thus, in some aspects, artificial spin ice is closer to granular matter and random magnets than to a regular magnetic solid. 

We provide a brief introduction to quantum spin liquid and review current status of theoretical and experimental progresses on this subject. Spin liquid phases that arise in different situations are examined in the light of both theoretical models and experimental systems.

Neutron scattering can provide unique atomic scale information about structural and dynamical properties of frustrated magnetism. In this lecture I will give a brief description of theoretical and practical aspects of the technique. Experiments on frustrated magnets that illustrate the capabilities of new instrumentation at the Spallation Neutron Source and NIST will serve as examples. The target audience is scientists who are interested in using neutrons in their research, collaborating with a neutron scattering group, or who seek a deeper understanding of the corresponding experimental
literature [1].

[1] See http://jins.tennessee.edu/course2012/ for information about an online graduate course to be offered in the fall of 2012 on the use of neutron scattering in quantum condensed matter physics.

*Work at IQM was supported by the US DoE, office of Basic Energy Sciences, Division of
Material Sciences and Engineering under DE-FG02-08ER46544.