Exchange Frequencies in the 2d Wigner crystal

Details Exchange Frequencies in the 2d Wigner crystal Exchange Frequencies in the 2d Wigner crystal

2000-08-03

arxiv.org/abs/cond-mat/0008062v1

Phys. Rev. Lett. 86, 870-873 (2001)

Physics

Condensed Matter

Strongly Correlated Electrons

Scientific paper

10.1103/PhysRevLett.86.870

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.

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