Correlation functions of finite XXZ model with boundaries
نویسندگان
چکیده
منابع مشابه
Correlation Functions of Finite XXZ Model with Boundaries
The finite XXZ model with boundaries is considered. We use the Matrix Product Ansatz (MPA), which was originally developed in the studies on the asymmetric simple exclusion process and the quantum antiferromagnetic spin chain. The MPA tells that the eigenstate of the Hamiltonian is constructed by the Zamolodchikov-Faddeev algebra (ZF-algebra) and the boundary states. We adopt the type I vertex ...
متن کاملDynamical correlation functions of the XXZ model at finite temperature
Combining a lattice path integral formulation for thermodynamics with the solution of the quantum inverse scattering problem for local spin operators, we derive a multiple integral representation for the time-dependent longitudinal correlation function of the spin-1/2 Heisenberg XXZ chain at finite temperature and in an external magnetic field. Our formula reproduces the previous results in the...
متن کاملFinite XXZ critical chain with double boundaries
Finite XXZ chain with double boundaries is considered at critical regime −1 < ∆ < 1. We construct the eigenvectors of finite Hamiltonian by means of the vertex opertors and the quasi-boundary states. Using the free field realizations of the vertex operators and the quasi-boundary states, integral representations for the correlation functions are derived.
متن کاملSpontaneous Magnetization in the Finite XXZ Spin Chain with Boundaries
The finite XXZ spin chain with boundaries is studied. We derive the transfer matrix from the q-difference equation discovered by Cherednik and construct its eigenstates by the vertex operator approach. We point out that the eigenstates with no magnetic fields have a symmetry called the turning symmetry. Making use of this symmetry we calculate the spontaneous magnetization in the thermodynamic ...
متن کاملN - point Correlation Functions of the Spin - 1 XXZ Model
We extend the recent approach of M. Jimbo, K. Miki, T. Miwa, and A. Nakayashiki to derive an integral formula for the N-point correlation functions of arbitrary local operators of the antiferromagnetic spin-1 XXZ model. For this, we realize the quantum affine symmetry algebra Uq(su(2)2) of level 2 and its corresponding type I vertex operators in terms of a deformed bosonic field free of a backg...
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: Chaos, Solitons & Fractals
سال: 2000
ISSN: 0960-0779
DOI: 10.1016/s0960-0779(98)00137-4