Phys. Rev. Lett. 102, 126402 (2009) [4 pages]Phase Diagram of the Low-Density Two-Dimensional Homogeneous Electron GasReceived 6 February 2008; published 24 March 2009 We use quantum Monte Carlo methods to calculate the zero-temperature phase diagram of the two-dimensional homogeneous electron gas. We find a transition from a paramagnetic fluid to an antiferromagnetic triangular Wigner crystal at density parameter rs=31(1) a.u. and a transition to a ferromagnetic crystal at rs=38(5) a.u. The fully spin-polarized fluid is never stable. We search for, but do not find, the ferromagnetic “hybrid” phase proposed by H. Falakshahi and X. Waintal [ Phys. Rev. Lett. 94 046801 (2005)]. © 2009 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.102.126402
DOI:
10.1103/PhysRevLett.102.126402
PACS:
71.10.Ca, 71.10.Pm
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