Quantum crystals and spin chains
| Authors |
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| Publication date | 2009 |
| Journal | Nuclear Physics B |
| Volume | Issue number | 811 | 3 |
| Pages (from-to) | 463-490 |
| Organisations |
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| Abstract | In this article, 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. |
| Document type | Article |
| Published at |
https://doi.org/10.1016/j.nuclphysb.2008.11.027
(Final published version)
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