Determinant Representation of Correlation Functions for the $U_q(gl(1|1))$ Free Fermion ModelDeterminant Representation of Correlation Functions for the $U_q(gl(1|1))$ Free Fermion Model

Shao-you Zhao A, Wen‐Li Yang, Yao-Zhong Zhang

With the help of the factorizing $F$ -matrix, the scalar products of the $U_q(gl(1|1))$ free fermion model are represented by determinants. By means of these results, we obtain the determinant representations of correlation functions of the model.With the help of the factorizing $F$-matrix, the scalar products of the $U_q(gl(1|1))$ free fermion model are represented by determinants. By means of these results, we obtain the determinant representations of correlation functions of the model.

Jun 9, 20057 citations

On the Construction of Correlation Functions for the Integrable Supersymmetric Fermion Models

Shao-you Zhao A, Wen‐Li Yang, Yao-Zhong Zhang

We review the recent progress on the construction of the determinant representations of the correlation functions for the integrable supersymmetric fermion models. The factorizing $F$ -matrices (or the so-called $F$ -basis) play an important role in the construction. In the $F$ -basis, the creation (and the annihilation) operators and the Bethe states of the integrable models are given in completely symmetric forms. This leads to the determinant representations of the scalar products of the Bethe states for the models. Based on the scalar products, the determinant representations of the correlation functions may be obtained. As an example, in this review, we give the determinant representations of the two-point correlation function for the $\\gl$ (i.e. q-deformed) supersymmetric t-J model. The determinant representations are useful for analysing physical properties of the integrable models in the thermodynamical limit.We review the recent progress on the construction of the determinant representations of the correlation functions for the integrable supersymmetric fermion models. The factorizing $F$-matrices (or the so-called $F$-basis) play an important role in the construction. In the $F$-basis, the creation (and the annihilation) operators and the Bethe states of the integrable models are given in completely symmetric forms. This leads to the determinant representations of the scalar products of the Bethe states for the models. Based on the scalar products, the determinant representations of the correlation functions may be obtained. As an example, in this review, we give the determinant representations of the two-point correlation function for the $\\gl$ (i.e. q-deformed) supersymmetric t-J model. The determinant representations are useful for analysing physical properties of the integrable models in the thermodynamical limit.

Jan 11, 20067 citations

CORRELATION FUNCTIONS FOR SYSTEMS WITH FOUR-FERMION NEGATIVE INTERACTION

N. N. Bogolyubov

Elsevier eBooksJan 1, 19720 citations

Functional integrals for correlated fermions

Heinz J. Schulz

arXiv:cond-mat/9411059Journal of Low Temperature PhysicsMay 1, 19953 citations

Determinant Representation of Correlation Functions for the

U_q(gl(1|1))

Free Fermion Model

With the help of the factorizing

F

-matrix, the scalar products of the

U_q(gl(1|1))

free fermion model are represented by determinants. By means of these results, we obtain the determinant representations of correlation functions of the model.

We review the recent progress on the construction of the determinant representations of the correlation functions for the integrable supersymmetric fermion models. The factorizing

F

-matrices (or the so-called

F

-basis) play an important role in the construction. In the

F

-basis, the creation (and the annihilation) operators and the Bethe states of the integrable models are given in completely symmetric forms. This leads to the determinant representations of the scalar products of the Bethe states for the models. Based on the scalar products, the determinant representations of the correlation functions may be obtained. As an example, in this review, we give the determinant representations of the two-point correlation function for the

\\gl

(i.e. q-deformed) supersymmetric t-J model. The determinant representations are useful for analysing physical properties of the integrable models in the thermodynamical limit.