| Titel |
Quantum crystals and spin chains |
| Gepubliceerd in |
Nuclear Physics B, Vol. 811, No. 3, p.463-490. ISSN 05503213. |
| Auteur |
Dijkgraaf, R.; Orlando, D.; Reffert, S. |
| Datum |
2009 |
| Type |
artikel |
| Samenvatting |
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. |
| Publicatie |
http://dare.uva.nl/record/323629 |
| OpenURL |
Zoek deze publicatie in (uw) bibliotheek |
| Persistent Identifier |
urn:nbn:nl:ui:29-323629 |
| Metadata |
XML |
| Repository |
Universiteit van Amsterdam |