Erich J. Mueller
Laboratory of Atomic and Solid State Physics, Cornell University, Ithaca, New York 14853
This document contains animated depictions of the spin textures described in [insert publication information]. Please see the text for detailed information about the structures presented here.
The following movies show images of spin textures in a rotating gas of spin-1 Bosons. The gas is treated as two-dimensional, and at each point in space two types of order are depicted. There is a vector order, corresponding to a local magnetic moment. There is also a biaxial nematic order, corresponding to the fluctuations in the local magnetic moment. The vector component is represented by arrows pointing along the direction of magnetization. Larger arrows correspond to a larger degree of order. The nematic component is represented by ellipsoids. The construction of these ellipsoids is discussed in the text. Prolate (long and skinny) ellipsoids define a direction by their major axis. Along this direction spin fluctuations are weakest.
There are two qualitatively different behaviors in these gases, corresponding to either ferromagnetic or antiferromagnetic interactions.
The movies are in the QuickTime ".mov" format. A free QuickTime viewer for PC or Mac can be downloaded from Apple.
A gas with ferromagnetic interactions will predominately have a vector order. Angular momentum is carried by "skyrmion" textures (see text). Below are depictions of the textures found as one gradually increases the rotation rate. The slowest rotation is "A", where a uniform ferromagnetic texture is found, while the fastest is "H". Click on an image to open the animated movie.
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A gas with antiferromagnetic interactions will predominately have a uniaxial nematic order. This uniaxial nematic order is represented by green and blue prolate elipsoids. The angular momentum is typically carried by pi-disclinations in this nematic order. At the cores of the disclinations, the prolate elipsoids are replaced by yellow and orange oblate elipsoids. In these regions there is a ferromagnetic region, represented by arrows. Below are depictions of the textures found as one gradually increases the rotation rate. The slowest rotation is "I", where a uniform ferromagnetic texture is found, while the fastest is "S". Click on an image to open the animated movie.
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