Hartree-Fock phase diagram of the two-dimensional electron gas
Hartree-Fock phase diagram of the two-dimensional electron gas
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DOI：
10.1103/physrevb.84.115115
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发表时间：
2011-09-15
影响因子：
3.7
通讯作者：
Baguet, L.
中科院分区：
文献类型：
--
作者：
Bernu, B.;Delyon, F.;Baguet, L.
本文在Hartree-Fock近似下计算了二维均匀电子气的基态相图。在高密度下，我们找到了稳定的解决方案，其中电子电荷和自旋密度形成具有比电子更多的晶体位置的无公度晶体，而公度维格纳晶体在较低密度下是有利的，r（s）大于或接近1.22。我们的显式计算表明，均匀费米液体状态，虽然是一个精确的Hartree-Fock方程的定态解，永远不是Hartree-Fock基态的电子气。
We calculate the ground-state phase diagram of the homogeneous electron gas in two dimensions within the Hartree-Fock approximation. At high density, we find stable solutions, where the electronic charge and spin density form an incommensurate crystal having more crystal sites than electrons, whereas the commensurate Wigner crystal is favored at lower densities, r(s) greater than or similar to 1.22. Our explicit calculations demonstrate that the homogeneous Fermi-liquid state, though being an exact stationary solution of the Hartree-Fock equations, is never the Hartree-Fock ground state of the electron gas.