dc.contributor.author | Ciftja, Orion | eng |
dc.contributor.author | Lapilli, Cintia Mariela, 1980- | eng |
dc.contributor.author | Wexler, Carlos, 1966- | eng |
dc.date.issued | 2004 | eng |
dc.description | DOI: 10.1103/PhysRevB.69.125320 http://link.aps.org/doi/10.1103/PhysRevB.69.125320 | eng |
dc.description.abstract | Based on the Kosterlitz-Thouless-Halperin-Nelson-Young theory of two-dimensional melting and the analogy between Laughlin states and the two-dimensional one-component plasma, we investigate the possibility of liquid crystalline states in a single Landau level (LL). We introduce many-body trial wave functions that are translationally invariant but possess twofold (i.e., nematic), fourfold (tetratic), or sixfold (hexatic) broken rotational symmetry at respective filling factors ν=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 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). | eng |
dc.description.sponsorship | Acknowledgment is made to the University of Missouri Research Board and to the Donors of the Petroleum Research Fund, administered by the American Chemical Society, for support of this research. One of the authors ~O.C.!
would like to acknowledge R. Wilkins and K. Kerby for their hospitality during summer 2003. Part of the work was supported by NASA-CARR at Prairie View A&M University. | eng |
dc.identifier.citation | Phys. Rev. B 69, 125320 (2004) | eng |
dc.identifier.issn | 1098-0121 | eng |
dc.identifier.uri | http://hdl.handle.net/10355/7240 | eng |
dc.language | English | eng |
dc.publisher | American Physical Society | eng |
dc.relation.ispartofcollection | University of Missouri--Columbia. College of Arts and Sciences. Department of Physics and Astronomy. Physics and Astronomy publications | eng |
dc.subject | transitions in liquid crystals | eng |
dc.subject | electron-positive-ion plasmas | eng |
dc.subject.lcsh | Quantum Hall effect | eng |
dc.subject.lcsh | Collective excitations | eng |
dc.subject.lcsh | Liquid crystals | eng |
dc.subject.lcsh | Phase transformations (Statistical physics) | eng |
dc.subject.lcsh | Plasma (Ionized gases) | eng |
dc.title | Liquid crystalline states for two-dimensional electrons in strong magnetic fields | eng |
dc.type | Article | eng |