Dynamical matrix of two-dimensional electron crystals

Details Dynamical matrix of two-dimensional electron crystals Dynamical matrix of two-dimensional electron crystals

2007-06-11

arxiv.org/abs/0706.1488v2

R. Cote, M.-A. Lemonde, C. B. Doiron, and A. M. Ettouhami, Phys. Rev. B 77, 115303 (2008)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Revised version published in Phys. Rev. B. 12 pages with 11 postscripts figures

Scientific paper

10.1103/PhysRevB.77.115303

In a quantizing magnetic field, the two-dimensional electron (2DEG) gas has a rich phase diagram with broken translational symmetry phases such as Wigner, bubble, and stripe crystals. In this paper, we derive a method to get the dynamical matrix of these crystals from a calculation of the density response function performed in the Generalized Random Phase Approximation (GRPA). We discuss the validity of our method by comparing the dynamical matrix calculated from the GRPA with that obtained from standard elasticity theory with the elastic coefficients obtained from a calculation of the deformation energy of the crystal.

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