Quantum nematic as ground state of a two-dimensional electron gas in a magnetic field

Details Quantum nematic as ground state of a two-dimensional electron gas in a magnetic field Quantum nematic as ground state of a two-dimensional electron gas in a magnetic field

2007-02-07

arxiv.org/abs/cond-mat/0702172v1

Phys. Rev. B 75, 195433 (2007)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 two-column pages, 4 figures

Scientific paper

10.1103/PhysRevB.75.195433

We study the ground state of a nematic phase of the two-dimensional electron gas at filling fraction $\nu = 1/2$ using a variational wavefunction having Jastrow pair-correlations of the form $\Pi_{i < j}(z_i-z_j)^2$ and an elliptical Fermi sea. Using the Fermi hypernetted chain approximation we find that below a critical value of the broken symmetry parameter, the nematic phase is energetically favorable as compared to the isotropic state for the second excited Landau level. We also find that below a critical value of the layer ``thickness'' parameter $\lambda$ (and in the actual materials) the quantum nematic is energetically favorable relative to the stripe ordered Wigner crystal phase.

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