An Exactly Solvable Constrained Xxz Chain *
نویسندگان
چکیده
A new family of exactly solvable models is introduced. These models are generalizations of the XXZ chain where the distance among spins up (σ z-basis) cannot be smaller or equal to t (t = 0, 1, 2, ...). The case t = 0 recovers the standard XXZ chain. The coordinate Bethe ansatz is applied and the phase diagram is calculated. Exploring the finite-size consequences of conformal invariance the critical exponents are evaluated exactly at the critical regions of the phase diagram.
منابع مشابه
Functional relations from the Yang-Baxter algebra: Eigenvalues of the XXZ model with non-diagonal twisted and open boundary conditions
In this work we consider a functional method in the theory of exactly solvable models based on the Yang-Baxter algebra. Using this method we derive the eigenvalues of the XXZ model with non-diagonal twisted and open boundary conditions for general values of the anisotropy and boundary parameters. PACS numbers: 05.50+q, 02.30.IK
متن کاملCorrelation Function and Simplif ied TBA Equations for XXZ Chain
The calculation of the correlation functions of Bethe ansatz solvable models is very difficult problem. Among these solvable models spin 1/2 XXX chain has been investigated for a long time. Even for this model only the nearest neighbor and the second neighbor correlations were known. In 1990’s multiple integral formula for the general correlations is derived. But the integration of this formula...
متن کاملNon-linear Integral Equations and Determinant Formulae of the Open XXZ Spin Chain
We derive a non-linear integral equation for the Bethe-ansatz solvable open XXZ spin chain of arbitrary length describing the lowest lying state with zero magnetization. For this case we show how to combine the integral representation with the known determinant formula of norms and scalar products. PACS: 02.30.Ik, 75.10.Pq e-mail: [email protected] e-mail: [email protected]...
متن کاملQuantum Giant Magnons
The giant magnons are classical solitons of the O(N) sigma-model, which play an important role in the AdS/CFT correspondence. We study quantum giant magnons first at large N and then exactly using Bethe Ansatz, where giant magnons can be interpreted as holes in the Fermi sea. We also identify a solvable limit of Bethe Ansatz in which it describes a weakly-interacting Bose gas at zero temperatur...
متن کاملAsymptotic form of two-point correlation function of the XXZ spin chain
Correlation functions of the XXZ spin chain in the critical regime is studied at zerotemperature. They are exactly represented in the Fredholm determinant form and are related with an operator-valued Riemann–Hilbert problem. Analyzing this problem we prove that a two-point correlation function consisting of sufficiently separated spin operators is expressed by power-functions of the distance be...
متن کامل