Variational Monte-Carlo calculation of the nematic state of the two-dimensional electron gas in a magnetic field
arXiv:0805.2582 · doi:10.1103/PhysRevB.78.075314
Abstract
We use a Jastrow-Slater wave function with an elliptical Fermi sea to describe the nematic state of the two-dimensional electron gas in a magnetic field and the Monte Carlo method to calculate a variational energy upper bound. These energy upper bounds are compared with other upper bounds describing stripe-ordered ground states which are obtained from optimized Hartree-Fock calculations and with those which correspond to an isotropic ground state. Our findings support the conclusions drawn in our previous study where the Fermi-hypernetted chain approximation was used instead of the Monte Carlo method. Namely, the nematic state becomes energetically favorable relative to the stripe-ordered Wigner crystal phase for the second excited Landau level and below a critical value of the layer ``thickness'' parameter which is very close to its value in the actual materials.
arXiv comment6 pages, 8 figures
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