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dc.contributor.authorCiftja, Orioneng
dc.contributor.authorLapilli, Cintia Mariela, 1980-eng
dc.contributor.authorWexler, Carlos, 1966-eng
dc.date.issued2004-03eng
dc.descriptionDOI: 10.1103/PhysRevB.69.125320 http://link.aps.org/doi/10.1103/PhysRevB.69.125320eng
dc.description.abstractBased 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.sponsorshipAcknowledgment 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.citationPhys. Rev. B 69, 125320 (2004)eng
dc.identifier.issn1098-0121eng
dc.identifier.urihttp://hdl.handle.net/10355/7240eng
dc.publisherAmerican Physical Societyeng
dc.relation.ispartofPhysics and Astronomy publications (MU)eng
dc.relation.ispartofcommunityUniversity of Missouri-Columbia. College of Arts and Sciences. Department of Physics and Astronomyeng
dc.subjecttransitions in liquid crystalseng
dc.subjectelectron-positive-ion plasmaseng
dc.subject.lcshQuantum Hall effecteng
dc.subject.lcshCollective excitationseng
dc.subject.lcshLiquid crystalseng
dc.subject.lcshPhase transformations (Statistical physics)eng
dc.subject.lcshPlasma (Ionized gases)eng
dc.titleLiquid crystalline states for two-dimensional electrons in strong magnetic fieldseng
dc.typeArticleeng


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