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- W2023119337 abstract "The quantum corrections to the two-dimensional Wigner crystal, for filling ensuremath{nu}ensuremath{le}1/3, are discussed by using a Hartree-Fock expansion based on wave functions which are (i) related to one another by magnetic translations, (ii) orthonormal, and (iii) strongly localized. Such wave functions are constructed in terms of Gaussians that are localized at the sites of a triangular (Wigner) lattice and have a small overlap c. The ground-state energy per particle is calculated by an expansion in ensuremath{surd}ensuremath{nu} and in ensuremath{delta}ensuremath{equiv}${mathit{c}}^{1/4}$, which is rapidly convergent and stable under the thermodynamical limit. In particular, in this limit the cancellation of the infrared divergences occur order by order in the above expansion. The accurate control on the approximations allows a clear-cut comparison with the energy obtained by the Laughlin ansatz on the ground state and the numerical results confirm that the Wigner-crystal picture is energetically favored with respect to the Laughlin state for ensuremath{nu}1/9." @default.
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- W2023119337 date "1993-08-15" @default.
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- W2023119337 title "Quantum corrections to the Wigner crystal: A Hartree-Fock expansion" @default.
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- W2023119337 doi "https://doi.org/10.1103/physrevb.48.5306" @default.
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