Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2003-11-06
Phys. Rev. B 69, 125320 (2004)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
7 figures, submitted to PRB, high-quality figures available upon request
Scientific paper
10.1103/PhysRevB.69.125320
Based on the Kosterlitz-Thouless-Halperin-Nelson-Young (KTHNY) theory of two-dimensional melting and the analogy between Laughlin states and the two-dimensional one-component plasma (2DOCP), we investigate the possibility of liquid crystalline states in a single Landau level (LL). We introduce many-body trial wavefunctions that are translationally invariant but posess 2-fold (i.e. {\em nematic}), 4-fold ({\em tetratic}) or 6-fold ({\em hexatic}) broken rotational symmetry at respective filling factors $\nu = 1/3$, 1/5 and 1/7 of the valence LL. We find that the above liquid crystalline states exhibit a soft charge density wave (CDW) which underlies the translationally invariant state but which is destroyed by quantum fluctuations. By means of Monte Carlo (MC) simulations, we determine that, for a considerable variety of interaction potentials, the anisotropic states are energetically unfavorable for the lowest and first excited LL's (with index $L = 0, 1$), whereas the nematic is favorable at the second excited LL ($L = 2$).
Ciftja Orion
Lapilli Cintia M.
Wexler Carlos
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