Boundary correlations for the six-vertex model with reflecting end boundary condition
نویسندگان
چکیده
منابع مشابه
On two-point boundary correlations in the six-vertex model with DWBC
The six-vertex model with domain wall boundary conditions (DWBC) on an N ×N square lattice is considered. The two-point correlation function describing the probability of having two vertices in a given state at opposite (top and bottom) boundaries of the lattice is calculated. It is shown that this two-point boundary correlator is expressible in a very simple way in terms of the one-point bound...
متن کاملSix -vertex Model with Domain Wall Boundary Conditions. Variable Inhomogeneities
We consider the six-vertex model with domain wall boundary conditions. We choose the inhomogeneities as solutions of the Bethe Ansatz equations. The Bethe Ansatz equations have many solutions, so we can consider a wide variety of inho-mogeneities. For certain choices of the inhomogeneities we study arrow correlation functions on the horizontal line going through the centre. In particular we obt...
متن کاملThe Influence of Boundary Conditions in the Six-Vertex Model
We discuss the influence of boundary conditions on the continuum limit of the sixvertex model by deriving a variational principle for the associated height function with arbitrary fixed boundary conditions. We discuss its consequences using the known phase diagram of the six-vertex model. In some particular cases we compute explicitly the corresponding partial differential equations by means of...
متن کاملDeterminant formula for the six - vertex model with reflecting end Osamu Tsuchiya
Using the Quantum Inverse Scattering Method for the XXZ model with open boundary conditions, we obtained the determinant formula for the six vertex model with reflecting end. E-mail address: [email protected] 1 1 Introducntion Determinant representations of correlation functions of one dimensional quantum integrable models were studied extensively[1]. Especially Essler et. al. studie...
متن کاملBoundary correlation functions of the six - vertex model
We consider the six-vertex model on an N × N square lattice with the domain wall boundary conditions. Boundary one-point correlation functions of the model are expressed as determinants of N × N matrices, generalizing the known result for the partition function. In the free fermion case the explicit answers are obtained. The introduced correlation functions are closely related to the problem of...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Statistical Mechanics: Theory and Experiment
سال: 2019
ISSN: 1742-5468
DOI: 10.1088/1742-5468/ab3113