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Phase diagram of the low-density two-dimensional homogeneous electron gas

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 r(s)=31(1) a.u. and a transition to a ferromagneti...

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Bibliographic Details
Published in:Physical review letters 2009-03, Vol.102 (12), p.126402-126402, Article 126402
Main Authors: Drummond, N D, Needs, R J
Format: Article
Language:English
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Summary: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 r(s)=31(1) a.u. and a transition to a ferromagnetic crystal at r(s)=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)10.1103/PhysRevLett.94.046801].
ISSN:0031-9007
1079-7114
DOI:10.1103/physrevlett.102.126402