Alexei Tsvelik, a theoretical physicist at Brookhaven Lab, uses his hands to demonstrate two different chiral arrangements of three nearby electrons' magnetic moments.
This idea of chirality, or handedness, is also used to describe mirror-image orientations of atoms in molecules, as shown on Tsvelik's computer screen.
They also give particular suggestions on where and how to search for real examples of chiral spin liquids. You get dramatically different properties depending on whether the molecules are free to move about as steam, cooled to flow collectively as a liquid, or locked into set positions in a solid crystal of ice. Electrons have a property called spin, somewhat analogous to the spin of a toy top. The axis of rotation determines which way the spin is pointing, and makes individual electrons act like tiny magnets.
Instead they are searching for a particular type of local magnetic order among groups of three neighbor electrons. He uses his right hand to demonstrate the relative orientations, with his thumb and index finger forming an L and his middle finger pointing straight out from his palm, all at right angles to one another—like the x, y, z axes on a three-dimensional graph.
The thumb and first two fingers on Tsvelik's hands show the relative orientations of three nearby electrons whose magnetic moments point at right angles to one another—like the x, y, z axes on a 3-D graph. In a "chiral spin liquid," physicists would expect to find such local ordering among electron's magnetic moments, and only one of the two possible chiral arrangements, without a definite global order.
Using a hand is an apt prop because it easily demonstrates that a mirror-image arrangement can be achieved using the left hand instead of the right. Once ordered, the spin liquid spontaneously chooses a particular chirality, Tsvelik said.
Based on their understanding of material properties, the scientists predicted what properties chiral spin liquids with such arrangements should have, and then used theoretical calculations to support their ideas. In essence, Tsvelik said, the material must be a layered metal, where the spins are located in well-separated layers and where the localized magnetic moments can coexist with conduction electrons.
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