A triangular gap of side 2 in a sea of dimers in a 60 degrees angle

作者：Ciucu Mihai^*; Fischer Ilse

来源：Journal of Physics A-Mathematical and Theoretical, 2012, 45(49): 494011.

DOI：10.1088/1751-8113/45/49/494011

We consider a triangular gap of side 2 in a 60 degrees angle on the triangular lattice whose sides are zigzag lines. We study the interaction of the gap with the corner as the rest of the angle being completely filled with lozenges. We show that the resulting correlation is governed by the product of the distances between the gap and its five images in the sides of the angle. This provides a new aspect of the parallel between the correlation of gaps in dimer packings and electrostatics developed by the first author in previous work.

• 出版日期2012-12-14