Quantum Crystals and Spin Chains

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dc.creatorDijkgraaf, Robbert
dc.creatorOrlando, Domenico
dc.creatorReffert, Susanne
dc.date2008-03-13
dc.date2008-08-11
dc.date.accessioned2026-07-07T12:59:56Z
dc.date.available2026-07-07T12:59:56Z
dc.descriptionIn this note, we discuss the quantum version of the melting crystal corner in one, two, and three dimensions, generalizing the treatment for the quantum dimer model. Using a mapping to spin chains we find that the two--dimensional case (growth of random partitions) is integrable and leads directly to the Hamiltonian of the Heisenberg XXZ ferromagnet. The three--dimensional case of the melting crystal corner is described in terms of a system of coupled XXZ spin chains. We give a conjecture for its mass gap and analyze the system numerically.
dc.description34 pages, 26 pictures
dc.identifierhttps://arxiv.org/abs/0803.1927
dc.identifierhttp://arxiv.org/abs/0803.1927
dc.identifierNucl.Phys.B811:463-490,2009
dc.identifierdoi:10.1016/j.nuclphysb.2008.11.027
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/225723
dc.subjectStatistical Mechanics
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.titleQuantum Crystals and Spin Chains
dc.typetext

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