Decorated Star-Triangle Relations for the Free-Fermion Model and a New Solvable Bilayer Vertex Model

1995 ◽  
Vol 64 (8) ◽  
pp. 2795-2816 ◽  
Author(s):  
Masahiro Shiroishi ◽  
Miki Wadati
Keyword(s):  
Free Fermion ◽  
Vertex Model ◽  
Fermion Model ◽  
Free Fermion Model

scholarly journals Izergin-Korepin Analysis on the Projected Wavefunctions of the Generalized Free-Fermion Model

2017 ◽  
Vol 2017 ◽  
pp. 1-11 ◽  
Author(s):  
Kohei Motegi
Keyword(s):  
Symmetric Functions ◽  
Schur Functions ◽  
Free Fermion ◽  
Vertex Model ◽  
Fermion Model ◽  
Free Fermion Model

We apply the Izergin-Korepin analysis to the study of the projected wavefunctions of the generalized free-fermion model. We introduce a generalization of the L-operator of the six-vertex model by Bump-Brubaker-Friedberg and Bump-McNamara-Nakasuji. We make the Izergin-Korepin analysis to characterize the projected wavefunctions and show that they can be expressed as a product of factors and certain symmetric functions which generalizes the factorial Schur functions. This result can be seen as a generalization of the Tokuyama formula for the factorial Schur functions.

On the quantum symmetries associated with the two parameter free fermion model

1992 ◽  
Vol 25 (7) ◽  
pp. L341-L346 ◽  
Author(s):  
M Bednar ◽  
C Burdik ◽  
M Couture ◽  
L Hlavaty
Keyword(s):  
Free Fermion ◽  
Fermion Model ◽  
Quantum Symmetries ◽  
Free Fermion Model ◽  
Two Parameter

scholarly journals c=5/2 FREE FERMION MODEL OF WB2 ALGEBRA

1992 ◽  
Vol 07 (27) ◽  
pp. 6799-6811 ◽  
Author(s):  
CHANGHYUN AHN
Keyword(s):  
Jacobi Identity ◽  
Central Charge ◽  
Explicit Construction ◽  
Free Fermion ◽  
Fermion Model ◽  
Free Fermion Model ◽  
Casimir Operators ◽  
Level 1

We investigate the explicit construction of the WB2 algebra, which is closed and associative for all values of the central charge c, using the Jacobi identity and show the agreement with the results studied previously. Then we illustrate a realization of c=5/2 free fermion model, which is m→∞ limit of unitary minimal series, c(WB2)=5/2[1−12/(m+3)(m+4)] based on the cosets [Formula: see text] at level (1, m). We confirm by explicit computations that the bosonic currents in the WB2 algebra are indeed given by the Casimir operators of [Formula: see text].

Local three-spin correlations in the free-fermion and planar Ising models

1989 ◽  
Vol 423 (1865) ◽  
pp. 279-300 ◽  
Keyword(s):  
Ising Model ◽  
Ising Models ◽  
Square Lattice ◽  
Free Fermion ◽  
Two Dimensional ◽  
Solvable Models ◽  
Spin Correlations ◽  
Fermion Model ◽  
Free Fermion Model

A number of local three-spin correlations are calculated exactly for various related ferromagnetic two-dimensional solvable models in statistical mechanics.They are the square lattice free-fermion model, the equivalent checkerboard Ising model, and the anisotropic triangular, honeycomb and square lattice Ising models. The different results are all applications of a single unifying formula.

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