Nematic Liquid Crystal Phase in a System of Interacting Dimers and Monomers

We consider a monomer-dimer system with a strong attractive dimer-dimer interaction that favors alignment. In 1979, Heilmann and Lieb conjectured that this model should exhibit a nematic liquid crystal phase, in which the dimers are mostly aligned, but do not manifest any translational order. We pro...

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Veröffentlicht in:	Communications in mathematical physics 2018-11, Vol.363 (3), p.955-1002
Hauptverfasser:	Jauslin, Ian, Lieb, Elliott H.
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Sprache:	eng
Schlagworte:	Classical and Quantum Gravitation Complex Systems Dimers Liquid crystals Mathematical and Computational Physics Mathematical Physics Monomers Nematic crystals Partitions (mathematics) Physics Physics and Astronomy Quantum Physics Relativity Theory Theoretical
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container_title	Communications in mathematical physics
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creator	Jauslin, Ian Lieb, Elliott H.
description	We consider a monomer-dimer system with a strong attractive dimer-dimer interaction that favors alignment. In 1979, Heilmann and Lieb conjectured that this model should exhibit a nematic liquid crystal phase, in which the dimers are mostly aligned, but do not manifest any translational order. We prove this conjecture for large dimer activity and strong interactions. The proof follows a Pirogov-Sinai scheme, in which we map the dimer model to a system of hard-core polymers whose partition function is computed using a convergent cluster expansion.
doi_str_mv	10.1007/s00220-018-3237-2
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Math. Phys</addtitle><description>We consider a monomer-dimer system with a strong attractive dimer-dimer interaction that favors alignment. In 1979, Heilmann and Lieb conjectured that this model should exhibit a nematic liquid crystal phase, in which the dimers are mostly aligned, but do not manifest any translational order. We prove this conjecture for large dimer activity and strong interactions. 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subjects	Classical and Quantum Gravitation Complex Systems Dimers Liquid crystals Mathematical and Computational Physics Mathematical Physics Monomers Nematic crystals Partitions (mathematics) Physics Physics and Astronomy Quantum Physics Relativity Theory Theoretical
title	Nematic Liquid Crystal Phase in a System of Interacting Dimers and Monomers
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