منابع مشابه
Squishing Dimers on the Hexagon Lattice
In this paper, we will describe and use a novel technique called “squishing”, which one applies to the dimer model on the regular honeycomb lattice. We developed this technique as an attempt to verify a conjectured generating function which arises in algebraic geometry (specifically, in the Donaldson-Thomas theory of the orbifold C/Z2 × Z2 [1]). Our attempt was only partially successful, and we...
متن کاملInteracting classical dimers on the square lattice.
We study a model of close-packed dimers on the square lattice with a nearest neighbor interaction between parallel dimers. This model corresponds to the classical limit of quantum dimer models [D. S. Rokhsar and S. A. Kivelson, Phys. Rev. Lett. 61, 2376 (1988)]. By means of Monte Carlo and transfer matrix calculations, we show that this system undergoes a Kosterlitz-Thouless transition separati...
متن کاملDimers on the triangular kagome lattice
We derive exact results for close-packed dimers on the triangular kagome lattice !TKL", formed by inserting triangles into the triangles of the kagome lattice. Because the TKL is a nonbipartite lattice, dimer-dimer correlations are short ranged so that the ground state at the Rokhsar-Kivelson !RK" point of the corresponding quantum dimer model on the same lattice is a short-ranged spin liquid. ...
متن کاملExact solution of close-packed dimers on the kagomé lattice.
It is well known that exact enumerations of close-packed dimers can be carried out for two-dimensional lattices. While details of results are now known for most lattices, due to the unique nature of the lattice structure, there has been no complete analysis for the kagomé lattice. Here we derive the close-form expression (13) ln(4xyz) for the free energy of close-packed dimers on the kagomé lat...
متن کاملDimers on the kagome lattice I: Finite lattices
We report exact results on the enumeration of close-packed dimers on a finite kagome lattice with general asymmetric dimer weights under periodic and cylindrical boundary conditions. For symmetric dimer weights, the resulting dimer generating functions reduce to very simple expressions, and we show how the simple expressions can be obtained from the consideration of a spin-variable mapping.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: The Electronic Journal of Combinatorics
سال: 2009
ISSN: 1077-8926
DOI: 10.37236/175