Liquid crystalline states for two-dimensional electrons in strong magnetic fields
Phys. Rev. B 69, 125320 (2004) 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...
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| creator | Ciftja, Orion Lapilli, Cintia M Wexler, Carlos |
| description | Phys. Rev. B 69, 125320 (2004) 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 ($L = 2$). |
| doi_str_mv | 10.48550/arxiv.cond-mat/0311144 |
| format | Article |
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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 ($L = 2$).</description><identifier>DOI: 10.48550/arxiv.cond-mat/0311144</identifier><language>eng</language><subject>Physics - Mesoscale and Nanoscale Physics ; Physics - Soft Condensed Matter</subject><creationdate>2003-11</creationdate><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,780,885</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/cond-mat/0311144$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.cond-mat/0311144$$DView paper in arXiv$$Hfree_for_read</backlink><backlink>$$Uhttps://doi.org/10.1103/PhysRevB.69.125320$$DView published paper (Access to full text may be restricted)$$Hfree_for_read</backlink></links><search><creatorcontrib>Ciftja, Orion</creatorcontrib><creatorcontrib>Lapilli, Cintia M</creatorcontrib><creatorcontrib>Wexler, Carlos</creatorcontrib><title>Liquid crystalline states for two-dimensional electrons in strong magnetic fields</title><description>Phys. Rev. B 69, 125320 (2004) 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 ($L = 2$).</description><subject>Physics - Mesoscale and Nanoscale Physics</subject><subject>Physics - Soft Condensed Matter</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2003</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNqNzrsKwjAUxvEsDqI-g2dx7CW0he6iOLgI7iEkp-VALprES9_eKH0Ap-8_fMOPsS2vy7bvurqS4U3PUnmnCytTVTec87ZdssuZ7g_SoMIUkzSGHEKOhBEGHyC9fKHJoovknTSABlUK3kUgl3-5RrBydJhIwUBodFyzxSBNxM28K7Y7Hq77U_EjiFsgK8MkvhSRKWKmNP_-PjqaRmg</recordid><startdate>20031106</startdate><enddate>20031106</enddate><creator>Ciftja, Orion</creator><creator>Lapilli, Cintia M</creator><creator>Wexler, Carlos</creator><scope>GOX</scope></search><sort><creationdate>20031106</creationdate><title>Liquid crystalline states for two-dimensional electrons in strong magnetic fields</title><author>Ciftja, Orion ; Lapilli, Cintia M ; Wexler, Carlos</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-arxiv_primary_cond_mat_03111443</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2003</creationdate><topic>Physics - Mesoscale and Nanoscale Physics</topic><topic>Physics - Soft Condensed Matter</topic><toplevel>online_resources</toplevel><creatorcontrib>Ciftja, Orion</creatorcontrib><creatorcontrib>Lapilli, Cintia M</creatorcontrib><creatorcontrib>Wexler, Carlos</creatorcontrib><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Ciftja, Orion</au><au>Lapilli, Cintia M</au><au>Wexler, Carlos</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Liquid crystalline states for two-dimensional electrons in strong magnetic fields</atitle><date>2003-11-06</date><risdate>2003</risdate><abstract>Phys. Rev. B 69, 125320 (2004) 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 ($L = 2$).</abstract><doi>10.48550/arxiv.cond-mat/0311144</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Physics - Mesoscale and Nanoscale Physics Physics - Soft Condensed Matter |
| title | Liquid crystalline states for two-dimensional electrons in strong magnetic fields |
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