Spin coupling in zigzag Wigner crystals

Details Spin coupling in zigzag Wigner crystals Spin coupling in zigzag Wigner crystals

2007-04-05

arxiv.org/abs/0704.0776v1

Phys. Rev. B 76, 075302 (2007)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

12 pages, 9 figures

Scientific paper

10.1103/PhysRevB.76.075302

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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