Exchange Frequencies in the 2d Wigner crystal

Abstract

Using Path Integral Monte Carlo we have calculated exchange frequencies as electrons undergo ring exchanges in a ``clean'' 2d Wigner crystal as a function of density. The results show agreement with WKB calculations at very low density, but show a more rapid increase with density near melting. Remarkably, the exchange Hamiltonian closely resembles the measured exchanges in 2d He. Using the resulting multi-spin exchange model we find the spin Hamiltonian for r_s \leq 175 \pm 10 is a frustrated antiferromagnetic; its likely ground state is a spin liquid. For lower density the ground state will be ferromagnetic.

References in corpus (4)

• Spin-Liquid phase of the Multiple-Spin Exchange Hamiltonian on the Triangular Lattice
• Spin Liquid in the Multiple-Spin Exchange model on the Triangular lattice: 3He on graphite
• Wigner crystallization and metal-insulator transition of two-dimensional holes in GaAs/AlGaAs at B=0
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Cited by in corpus (55)

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• Metal-insulator transition in the two-dimensional fully polarized homogeneous electron gas from Hartree-Fock solutions
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