Fully packed loop model on the honeycomb lattice
نویسندگان
چکیده
منابع مشابه
Exact results for Hamiltonian walks from the solution of the fully packed loop model on the honeycomb lattice.
We derive the nested Bethe Ansatz solution of the fully packed O(n) loop model on the honeycomb lattice. From this solution we derive the bulk free energy per site along with the central charge and geometric scaling dimensions describing the critical behaviour. In the n = 0 limit we obtain the exact compact exponents γ = 1 and ν = 1/2 for Hamiltonian walks, along with the exact value κ2 = 3 √ 3...
متن کاملFully packed loop models on finite geometries
A fully packed loop (FPL) model on the square lattice is the statistical ensemble of all loop configurations, where loops are drawn on the bonds of the lattice, and each loop visits every site once [4,18]. On finite geometries, loops either connect external terminals on the boundary, or form closed circuits, see for example Figure 1. In this chapter we shall be mainly concerned with FPL models ...
متن کاملA worm algorithm for the fully-packed loop model
We present a Markov-chain Monte Carlo algorithm of worm type that correctly simulates the fully-packed loop model on the honeycomb lattice, and we prove that it is ergodic and has uniform stationary distribution. The fully-packed loop model on the honeycomb lattice is equivalent to the zero-temperature triangular-lattice antiferromagnetic Ising model, which is fully frustrated and notoriously d...
متن کاملRefined Counting of Fully Packed Loop Configurations
Abstract. We give a generalisation of a conjecture by Propp on a summation formula for fully packed loop configurations. The original conjecture states that the number of configurations in which each external edge is connected to its neighbour is equal to the total number of configurations of size one less. This conjecture was later generalised by Zuber to include more types of configurations. ...
متن کاملCorrelation Length and Average Loop Length of the Fully-Packed Loop Model
The fully-packed loop model of closed paths covering the honeycomb lattice is studied through its identification with the slq(3) integrable lattice model. Some known results from the Bethe ansatz solution of this model are reviewed. The free energy, correlation length, and the ensemble average loop length are given explicitly for the many-loop phase. The results are compared with the known resu...
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: Physical Review Letters
سال: 1994
ISSN: 0031-9007
DOI: 10.1103/physrevlett.72.1372