Abstract
At the free-fermion point, the six-vertex model with domain wall boundary conditions (DWBC) can be related to the Aztec diamond, a domino tiling problem. We study the mapping on the level of complete statistics for general domains and boundary conditions. This is obtained by associating with both models a set of non-intersecting lines in the Lindström-Gessel-Viennot (LGV) scheme. One of the consequences for DWBC is that the boundaries of the ordered phases are described by the Airy process in the thermodynamic limit.
| Original language | English |
|---|---|
| Article number | 003 |
| Pages (from-to) | 10297-10306 |
| Number of pages | 10 |
| Journal | Journal of Physics A: Mathematical and General |
| Volume | 39 |
| Issue number | 33 |
| DOIs | |
| State | Published - 18 Aug 2006 |