Staggered Polarization of Vertex Models with $U_q(\\widehat{sl}(n))$ -SymmetryStaggered Polarization of Vertex Models with $U_q(\\widehat{sl}(n))$-Symmetry

Koyama, Y

In this paper we give an explicit formula for level 1 vertex operators related to $U_q(\\widehat{sl}(n))$ as operators on the Fock spaces. We derive also their commutation relations. As an applications we culculate the one point functions of the one-dimensional spin chain associated with the vector representation of $U_q(\\widehat{sl}(n))$ , thereby extending the recent work on the staggered polarization of the $XXZ$ -model.In this paper we give an explicit formula for level 1 vertex operators related to $U_q(\\widehat{sl}(n))$ as operators on the Fock spaces. We derive also their commutation relations. As an applications we culculate the one point functions of the one-dimensional spin chain associated with the vector representation of $U_q(\\widehat{sl}(n))$, thereby extending the recent work on the staggered polarization of the $XXZ$-model.

Jan 1, 199442 citations

Generalization of the $\mathcal{U}$ q (gl(N)) Algebra and Staggered ModelsGeneralization of the $$\mathcal{U} $$ q (gl(N)) Algebra and Staggered Models

D. Arnaudon, A. Sedrakyan, Tigran Sedrakyan +1 more

arXiv:hep-th/0106139Letters in Mathematical PhysicsDec 1, 20019 citations

Staggered eight-vertex model

C.S. Hsue, Ken‐Yu Lin, Fa Yueh Wu

An eight-vertex model with staggered (site-dependent) vertex weights is considered. The model is an extension of the usual one with translationally invariant weights and contains sixteen independent vertex weights. From its Ising representation it is seen that there are actually only eleven independent parameters. After discussing some general symmetry properties of this model, we consider in detail the soluble case of a free-fermion model. We find that the staggered free-fermion model may exhibit up to three phase transitions. Generally the specific heat has logarithmic singularities, expect in some special cases it has an exponent $\ensuremath{\alpha}=\frac{1}{2}$ and the system is frozen below a unique transition point. Conditions for these special cases are given.An eight-vertex model with staggered (site-dependent) vertex weights is considered. The model is an extension of the usual one with translationally invariant weights and contains sixteen independent vertex weights. From its Ising representation it is seen that there are actually only eleven independent parameters. After discussing some general symmetry properties of this model, we consider in detail the soluble case of a free-fermion model. We find that the staggered free-fermion model may exhibit up to three phase transitions. Generally the specific heat has logarithmic singularities, expect in some special cases it has an exponent $\ensuremath{\alpha}=\frac{1}{2}$ and the system is frozen below a unique transition point. Conditions for these special cases are given.

Physical review. B, Solid stateJul 1, 197545 citations

Reflection matrices for the Uq[sl(r|2m)(2)] vertex model

A. Lima-Santos, W. Galléas

arXiv:1011.3119Nuclear Physics BFeb 21, 201010 citations

Reflection matrices for the U-q[sl(m vertical bar n)((1))] vertex model

A. Lima-Santos

Journal of Statistical Mechanics Theory and ExperimentJan 1, 20090 citations

Staggered polarization of vertex models with

U_q (\widehat{sl(}n))

-Symmetry

Staggered Polarization of Vertex Models with

U_q(\\widehat{sl}(n))

-Symmetry

In this paper we give an explicit formula for level 1 vertex operators related to

U_q(\\widehat{sl}(n))

as operators on the Fock spaces. We derive also their commutation relations. As an applications we culculate the one point functions of the one-dimensional spin chain associated with the vector representation of

U_q(\\widehat{sl}(n))

, thereby extending the recent work on the staggered polarization of the

XXZ

-model.

Generalization of the

\mathcal{U}

q (gl(N)) Algebra and Staggered Models