Fermi hypernettedchain study of halffilled Landau levels with broken rotational symmetry
Abstract
We investigate broken rotational symmetry (BRS) states at halffilling of the valence Landau level (LL). We generalize Rezayi and Read's (RR) trial wave function, a special case of Jain's composite fermion (CF) wave functions, to include anisotropic coupling of the flux quanta to electrons, thus generating a nematic order in the underlying CF liquid. Using the Fermi hypernettedchain method, which readily gives results in the thermodynamic limit, we determine the properties of these states in detail. By using the anisotropic pair distribution and static structure functions we determine the correlation energy and find that, as expected, RR's state is stable in the lowest LL, whereas BRS states may occur at halffilling of higher LL's, with a possible connection to the recently discovered quantum Hall liquid crystals.
 Publication:

Physical Review B
 Pub Date:
 May 2002
 DOI:
 10.1103/PhysRevB.65.205307
 arXiv:
 arXiv:condmat/0111120
 Bibcode:
 2002PhRvB..65t5307C
 Keywords:

 73.43.f;
 64.70.Md;
 Quantum Hall effects;
 Transitions in liquid crystals;
 Condensed Matter  Mesoscale and Nanoscale Physics;
 Condensed Matter  Soft Condensed Matter;
 Condensed Matter  Strongly Correlated Electrons
 EPrint:
 Phys. Rev. B 65, 205307 (2002)