arXiv · 0704.0776
Spin coupling in zigzag Wigner crystals
Abstract
We consider interacting electrons in a quantum wire in the case of a shallow confining potential and low electron density. In a certain range of densities, the electrons form a two-row (zigzag) Wigner crystal whose spin properties are determined by nearest and next-nearest neighbor exchange as well as by three- and four-particle ring exchange processes. The phase diagram of the resulting zigzag spin chain has regions of complete spin polarization and partial spin polarization in addition to a number of unpolarized phases, including antiferromagnetism and dimer order as well as a novel phase generated by the four-particle ring exchange.
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A. D. Klironomos, Julia S. Meyer, T. Hikihara, K. A. Matveev. 2007-04-05. Spin coupling in zigzag Wigner crystals. https://doi.org/10.1103/physrevb.76.075302
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