Thermal Bethe-ansatz method for the spin-1/2 XXZ Heisenberg chain

徹高麗

Published Jan 1, 1988• 0 citations

OpenAlex

Related papers

Origin of the singular Bethe ansatz solutions for the Heisenberg XXZ spin chain

Jae Dong Noh, Deok-Sun Lee, Doochul Kim

arXiv:cond-mat/0001175Physica A Statistical Mechanics and its ApplicationsNov 1, 200018 citations

XXZ Heisenberg chain: Bethe ansatz and the ground state

Ladislav Šamaj, Zoltán Bajnok

Cambridge University Press eBooksMay 16, 20130 citations

Thermal Bethe-Ansatz Method for the One-Dimensional Heisenberg Model

Tohru Koma

Progress of Theoretical PhysicsDec 1, 198782 citations

Thermal Bethe-Ansatz Method for the Spin-1/2 XXZ Heisenberg Chain

Tohru Koma

A new method is proposed for calculating the free energy of the one-dimensional spin-1/2 XXZ Heisenberg model. The partition function is written in terms of the transfer matrix for a two-dimensional Ising system, whose maximum eigenvalue is obtained by the Bethe-ansatz method leading to the free energy in the thermodynamic limit. This method uses no such assumption as the completeness of the Bethe states that has been proved only partially and yields better results than the previous methods do.

Progress of Theoretical PhysicsApr 1, 198940 citations

Correlation Functions of Heisenberg Spin Chains : the Algebraic Bethe Ansatz Approach

Jean Michel Maillet

Aug 8, 20071 citation

Integrability of the Heisenberg chains with boundary impurities and their Bethe ansatz

Bo-Yu Hou, Kangjie Shi, Rui‐Hong Yue +1 more

We show the integrability of spin-½ XXZ Heisenberg chain with two arbitrary spin boundary impurities. By using the fusion method, we generalize it to the spin-1 XXZ chain. Then the eigenvalues of Hamiltonians of these models are obtained by the means of Bethe ansatz method.

arXiv:cond-mat/9910384Journal of Physics A Mathematical and GeneralOct 21, 19992 citations