# Integrable Magnetic Model of Two Chains Coupled by Four-Body Interactions

@article{Muramoto1999IntegrableMM, title={Integrable Magnetic Model of Two Chains Coupled by Four-Body Interactions}, author={Norihiro Muramoto and Minoru Takahashi}, journal={Journal of the Physical Society of Japan}, year={1999}, volume={68}, pages={2098-2104} }

An exact solution for an XXZ chain with four-body interactions is obtained and its phase diagram is determined. The model can be reduced to two chains coupled by four-body interactions, and it is shown that the ground state of the two-chain model is magnetized in part. Furthermore, a twisted four-body correlation function of the anti-ferromagnetic Heisenberg chain is obtained.

## 27 Citations

LETTER TO THE EDITOR: The phase diagram of an exactly solvable t-J ladder model

- Physics
- 1999

We study a system of one-dimensional t-J models coupled to a ladder system. A special choice of the interaction between neighbouring rungs leads to an integrable model with supersymmetry, which is…

Quantum phase transitions and thermodynamics of quantum antiferromagnets with competing interactions

- Physics
- 2007

We study the isotropic Heisenberg chain with nearest and next-nearest neighbor interactions. The ground state phase diagram is constructed in dependence on the additional interactions and an external…

INTEGRABLE N-LEG LADDER MODELS

- Physics, Mathematics
- 2004

We construct integrable spin chains with the inhomogeneous periodic disposition of the anisotropy parameter. The periodicity holds for both auxiliary (space) and quantum (time) directions. The…

LETTER TO THE EDITOR: Quantum spin ladder systems associated with su(2|2)

- Physics
- 2000

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…

Integrable ladder t-J model with staggered shift of the spectral parameter

- Physics
- 2001

The generalization of the Yang-Baxter equations in the presence of 2 grading along both chain and time directions is presented and an integrable model of t-J type with staggered disposition of shifts…

First principle approach to correlation functions of spin-1/2 Heisenberg chain : fourth-neighbor correlators

- Physics
- 2005

Boundary defect in a spin ladder

- Physics
- 2001

The integrable su(1|3)-invariant spin-ladder model with boundary defect is studied using the Bethe ansatz method. The exact phase diagram for the ground state is obtained and the boundary quantum…

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