Data and scripts from: Resolving the two-dimensional ANNNI model using transfer matrices

2021 ◽  
Author(s):  
Yi Hu ◽  
Patrick Charbonneau
Keyword(s):  
Two Dimensional ◽  
Transfer Matrices ◽  
Annni Model

scholarly journals GENERALIZED YANG-BAXTER EQUATION

1993 ◽  
Vol 08 (24) ◽  
pp. 2299-2309 ◽  
Author(s):  
R. M. KASHAEV ◽  
YU. G. STROGANOV
Keyword(s):  
Single Layer ◽  
Lattice Models ◽  
Baxter Equation ◽  
Explicit Solutions ◽  
Generalized Equations ◽  
Two Dimensional ◽  
Layer Transfer ◽  
Transfer Matrices ◽  
Dimensional Lattice ◽  
Potts Models

A generalization of the Yang-Baxter equation is proposed. It enables us to construct integrable two-dimensional lattice models with commuting two-layer transfer matrices, while single-layer ones are not necessarily commutative. Explicit solutions to the generalized equations are found. They are related with Boltzmann weights of the sl (3) chiral Potts models.

scholarly journals On the Combinatorics of Row and Corner Transfer Matrices of the $A^{(1)}_{n-1}$ Restricted Face Models

1997 ◽  
Vol 12 (20) ◽  
pp. 3551-3586 ◽  
Author(s):  
Srinandan Dasmahapatra
Keyword(s):  
Spectral Data ◽  
Polynomial Identity ◽  
Spin Chain ◽  
Two Dimensional ◽  
Transfer Matrices ◽  
Dimensional Model ◽  
Corner Transfer Matrices ◽  
Weight Lattice ◽  
Index Sets ◽  
Two Dimensional Model

We establish a weight-preserving bijection between the index sets of the spectral data of row-to-row and corner transfer matrices for [Formula: see text] restricted interaction round a face (IRF) models. The evaluation of momenta by adding Takahashi integers in the spin chain language is shown to directly correspond to the computation of the energy of a path on the weight lattice in the two-dimensional model. As a consequence we derive fermionic forms of polynomial analogs of branching functions for the cosets [Formula: see text], and establish a bosonic–fermionic polynomial identity.

Wetting in the two-dimensional ANNNI model

1986 ◽  
Vol 19 (2) ◽  
pp. L41-L47 ◽  
Author(s):  
T Ala-Nissila ◽  
J Amar ◽  
J D Gunton
Keyword(s):  
Two Dimensional ◽  
Annni Model

The two-dimensional ANNNI model in the CVM approximation

1986 ◽  
Vol 43 (3-4) ◽  
pp. 645-661 ◽  
Author(s):  
Alphonse Finel ◽  
Didier de Fontaine
Keyword(s):  
Two Dimensional ◽  
Annni Model
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