Variational Monte Carlo shows magnetic fields melt Wigner crystals into integer quantum Hall liquids via downward cusps in liquid ground-state energy at integer fillings, establishing a density range for the transition.
Ceperley, Ground state of the fermion one-component plasma: A monte carlo study in two and three dimen- sions, Physical Review B 18, 3126 (1978)
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Quantum melting a Wigner crystal into Hall liquids
Variational Monte Carlo shows magnetic fields melt Wigner crystals into integer quantum Hall liquids via downward cusps in liquid ground-state energy at integer fillings, establishing a density range for the transition.