Spin exchange in quantum rings and wires in the Wigner-crystal limit

Abstract

We present a controlled method for computing the exchange coupling in strongly correlated one-dimensional electron systems. It is based on the asymptotically exact relation between the exchange constant and the pair-correlation function of spinless electrons. Explicit results are obtained for thin quantum rings with realistic Coulomb interactions, by calculating this function via a many-body instanton approach.

arXiv comment7 pages, 2 figures. Changes in the text and figures to improve readability; added references

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Cited by in corpus (7)

• Wigner crystal physics in quantum wires
• Exact wave functions of two-electron quantum rings
• Spin coupling in zigzag Wigner crystals
• Correlation effects in quasi one dimensional electron wires
• Uniform electron gases. I. Electrons on a ring
• A cyclic universe with colour fields
• The exchange coupling of a Wigner dimer