N ov 1 99 6 Critical behaviour of the dilute O ( n ) , Izergin - Korepin and dilute A L face models : Bulk properties
نویسنده
چکیده
The analytic, nonlinear integral equation approach is used to calculate the finite-size corrections to the transfer matrix eigen-spectra of the critical dilute O(n) model on the square periodic lattice. The resulting bulk conformal weights extend previous exact results obtained in the honeycomb limit and include the negative spectral parameter regimes. The results give the operator content of the 19-vertex Izergin-Korepin model along with the conformal weights of the dilute A L face models in all four regimes.
منابع مشابه
Solutions of the Boundary Yang-Baxter Equation for A–D–E Models
A two-dimensional lattice spin model in statistical mechanics can be considered as solvable with periodic boundary conditions if its bulk Boltzmann weights satisfy the Yang-Baxter equation [1], and as additionally solvable with non-periodic boundary conditions if it admits boundary weights which satisfy the boundary Yang-Baxter equation [2]. Many such models are now known. Restricting our atten...
متن کاملCritical properties of a dilute O(n) model on the kagome lattice.
A critical dilute O(n) model on the kagome lattice is investigated analytically and numerically. We employ a number of exact equivalences which, in a few steps, link the critical O(n) spin model on the kagome lattice to the exactly solvable critical q-state Potts model on the honeycomb lattice with q=(n+1)2. The intermediate steps involve the random-cluster model on the honeycomb lattice and a ...
متن کاملEstimation of Binary Infinite Dilute Diffusion Coefficient Using Artificial Neural Network
In this study, the use of the three-layer feed forward neural network has been investigated for estimating of infinite dilute diffusion coefficient ( D12 ) of supercritical fluid (SCF), liquid and gas binary systems. Infinite dilute diffusion coefficient was spotted as a function of critical temperature, critical pressure, critical volume, normal boiling point, molecular volume in normal boilin...
متن کاملO(n) model on the honeycomb lattice via reflection matrices: Surface critical behaviour
We study the O(n) loop model on the honeycomb lattice with open boundary conditions. Reflection matrices for the underlying Izergin-Korepin R-matrix lead to three inequivalent sets of integrable boundary weights. One set, which has previously been considered, gives rise to the ordinary surface transition. The other two sets correspond respectively to the special surface transition and the mixed...
متن کاملN ov 1 99 9 Hidden E type structures in dilute A models
The hidden E7(E6) structure has been conjectured for the minimal model M4,5(M6,7) perturbed by Φ1,2 in the context of conformal field theory(CFT). Motivated by this, we examine the dilute A4,6 models, which are expected to be corresponding lattice models. Thermodynamics of the equivalent one dimensional quantum systems is analyzed via the quantum transfer matrix approach. Appropriate auxiliary ...
متن کامل