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相关论文: Integrable generalised spin ladder models

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We present two integrable spin ladder models which possess a general free parameter besides the rung coupling J. The models are exactly solvable by means of the Bethe ansatz method and we present the Bethe ansatz equations. We analyse the…

强关联电子 · 物理学 2007-05-23 Arlei Prestes Tonel , Angela Foerster , Katrina Hibberd , Jon Links

A detailed study of an $S={1\over2}$ spin ladder model is given. The ladder consists of plaquettes formed by nearest neighbor rungs with all possible SU(2)-invariant interactions. For properly chosen coupling constants, the model is shown…

凝聚态物理 · 物理学 2009-10-31 S. Albeverio , S. M. Fei , Y. P. Wang

Two integrable quantum spin ladder systems will be introduced associated with the fundamental su(2|2) solution of the Yang-Baxter equation. The first model is a generalized quantum Ising system with Ising rung interactions. In the second…

强关联电子 · 物理学 2007-05-23 A. Foerster , K. E. Hibberd , J. R. Links , I. Roditi

We find families of integrable n-leg spin-1/2 ladders and tubes with general isotropic exchange interactions between spins. These models are equivalent to su(N) spin chains with N=2^n. Arbitrary rung interactions in the spin tubes and…

统计力学 · 物理学 2009-10-31 M. T. Batchelor , M. Maslen

Two integrable spin ladder systems with different types of impurities are proposed. The impurities are introduced in such a way that the integrability of the models is not violated. The models are solved exactly and the Bethe ansatz…

统计力学 · 物理学 2007-05-23 Arlei Prestes Tonel , Angela Foerster , Xi-Wen Guan , Jon Links

A new model for a spin 1/2 ladder system with two legs is introduced. It is demonstrated that this model is solvable via the Bethe ansatz method for arbitrary values of the rung coupling J. This is achieved by a suitable mapping from the…

统计力学 · 物理学 2009-10-31 Jon Links , Angela Foerster

It is shown that solvable mixed spin ladder models can be constructed from su(N) permutators. Heisenberg rung interactions appear as chemical potential terms in the Bethe Ansatz solution. Explicit examples given are a mixed spin-1/2 spin-1…

统计力学 · 物理学 2015-06-24 M. T. Batchelor , J. de Gier , M. Maslen

An integrable quantum spin ladder based on the SU(4) symmetry algebra with boundary defects is studied in the framework of boundary integrability. Five nontrivial solutions of the reflection equations lead to different boundary impurities.…

统计力学 · 物理学 2009-11-10 M. T. Batchelor , X. -W. Guan , A. Foerster , A. P. Tonel , H. -Q. Zhou

We have recently constructed a large class of open quantum spin chains which have quantum-algebra symmetry and which are integrable. We show here that these models can be exactly solved using a generalization of the analytical Bethe Ansatz…

高能物理 - 理论 · 物理学 2014-11-18 Luca Mezincescu , Rafael I. Nepomechie

A general way to construct ladder models with certain Lie algebraic or quantum Lie algebraic symmetries is presented. These symmetric models give rise to series of integrable systems. It is shown that corresponding to these SU(2) symmetric…

凝聚态物理 · 物理学 2010-12-01 Sergio Albeverio , Shao-Ming Fei

The off-diagonal Bethe ansatz method is generalized to the integrable model associated with the $sp(4)$ (or $C_2$) Lie algebra. By using the fusion technique, we obtain the complete operator product identities among the fused transfer…

数学物理 · 物理学 2019-06-05 Guang-Liang Li , Junpeng Cao , Panpan Xue , Zhi-Rong Xin , Kun Hao , Wen-Li Yang , Kangjie Shi , Yupeng Wang

We discuss a simple procedure for obtaining new integrable spin chains from old by replacing each single state of the original model by some collection of states. This works whenever the Lax matrix of the chain has a certain form. The…

数学物理 · 物理学 2010-05-19 David Kagan , Charles A. S. Young

The generalization of the Yang-Baxter equations (YBE) in the presence of Z_2 grading along both chain and time directions is presented. The XXZ model with staggered disposition along a chain of both, the anisotropy \pm\Delta, as well as…

高能物理 - 理论 · 物理学 2007-05-23 D. Arnaudon , R. Poghossian , A. Sedrakyan , P. Sorba

An integrable version of the supersymmetric U model with open boundary conditions and an impurity situated at one end of the chain is introduced. The model is solved through the algebraic Bethe ansatz method and the Bethe ansatz equations…

强关联电子 · 物理学 2009-10-31 A. Foerster , K. E. Hibberd , J. R. Links , I. Roditi

The graded off-diagonal Bethe ansatz method is proposed to study supersymmetric quantum integrable models (i.e., quantum integrable models associated with superalgebras). As an example, the exact solutions of the $SU(2|2)$ vertex model with…

数学物理 · 物理学 2020-10-28 Xiaotian Xu , Junpeng Cao , Yi Qiao , Wen-Li Yang , Kangjie Shi , Yupeng Wang

A new integrable model which is a variant of the one-dimensional Hubbard model is proposed. The integrability of the model is verified by presenting the associated quantum R-matrix which satisfies the Yang-Baxter equation. We argue that the…

强关联电子 · 物理学 2015-06-24 X. -W. Guan , A. Foerster , J. Links , H. -Q Zhou , A. Prestes Tonel , R. H. McKenzie

In this paper we find new integrable one-dimensional lattice models of electrons. We classify all such nearest-neighbour integrable models with su(2)xsu(2) symmetry following the procedure first introduced in arXiv:1904.12005. We find 12…

数学物理 · 物理学 2020-09-04 Marius de Leeuw , Anton Pribytok , Ana L. Retore , Paul Ryan

The Hoft structure of the central extension of the $U_q \left( \widehat{sl\left( n \right) }\right)$ algebra is considered. The intertwine matrix induces new integrable spin chain models. We show the relation of these models and the…

高能物理 - 理论 · 物理学 2011-07-19 J. Abad , M. Rios

The exact solution of the one-dimensional super-symmetric t-J model under generic integrable boundary conditions is obtained via the Bethe ansatz methods. With the coordinate Bethe ansatz, the corresponding R-matrix and K-matrices are…

数学物理 · 物理学 2015-06-18 Xin Zhang , Junpeng Cao , Wen-Li Yang , Kangjie Shi , Yupeng Wang

An integrable spin-ladder model with nearest-neighbor exchanges and biquadratic interactions is proposed. With the Bethe ansatz solutions of the model hamiltonian, it is found that there are three possible phases in the ground state, i.e.,…

强关联电子 · 物理学 2009-10-31 Yupeng Wang
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