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Title: Magnetic ground state of the 2D Wigner crystal near melting
Plain: Electrons in the crystal can swap places by quantum tunneling, which couples their spins. Which spin arrangement results near the melting density, possibly a spin liquid (a state with no magnetic order even at zero temperature), is unknown.
Precise: For the triangular 2D Wigner crystal at r_s_c < r_s < ~100, the spin Hamiltonian is a ring-exchange model with competing two-, three-, four-, five- and six-particle exchange constants $J_k(r_s)$. Determine its ground state (ferromagnet, 120-degree antiferromagnet, or spin liquid) versus $r_s$, including the effect of screening by nearby gates.
Settled by: Path-integral Monte Carlo exchange constants with error bars used in large-scale numerics (DMRG or tensor networks) of the ring-exchange model, or a measurement of the spin susceptibility of an imaged Wigner crystal.
Kind: well-posed
Answer type: classification
References: (empty)
Literature status: open
Status note: (empty)
Posed since: (empty)