Anisotropic states of two-dimensional electrons in high magnetic fields

Details Anisotropic states of two-dimensional electrons in high magnetic fields Anisotropic states of two-dimensional electrons in high magnetic fields

2005-06-17

arxiv.org/abs/cond-mat/0506459v3

Phys. Rev. Lett. 96, 196802 (2006)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

minor corrections; 5 pages, 4 figures; version to be published in Physical Review Letters

Scientific paper

10.1103/PhysRevLett.96.196802

We study the collective states formed by two-dimensional electrons in Landau levels of index $n\ge 2$ near half-filling. By numerically solving the self-consistent Hartree-Fock (HF) equations for a set of oblique two-dimensional lattices, we find that the stripe state is an anisotropic Wigner crystal (AWC), and determine its precise structure for varying values of the filling factor. Calculating the elastic energy, we find that the shear modulus of the AWC is small but finite (nonzero) within the HF approximation. This implies, in particular, that the long-wavelength magnetophonon mode in the stripe state vanishes like $q^{3/2}$ as in an ordinary Wigner crystal, and not like $q^{5/2}$ as was found in previous studies where the energy of shear deformations was neglected.

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