# 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
- 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…

Integrable chain model with additional staggered model parameter

- Physics
- 2000

Abstract 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…

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

- Mathematics, 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…

Multi-leg integrable ladder models

- Physics, Mathematics
- 2004

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

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

- Physics
- 2005

Abstract We show how correlation functions of the spin- 1 / 2 Heisenberg chain without magnetic field in the anti-ferromagnetic ground state can be explicitly calculated using information contained…

Thermodynamic Bethe Ansatz for the Spin-1/2 Staggered XXZ- Model

- Physics
- 2003

Abstract We develop the technique of thermodynamic Bethe ansatz to investigate the ground state and the spectrum in the thermodynamic limit of the staggered XXZ models proposed recently as an example…

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…

## References

SHOWING 1-9 OF 9 REFERENCES

Integrable spin-1/2 XXZ Heisenberg chain with competing interactions

- Physics
- 1992

The critical behaviour of an integrable model of a spin- 1/2 chain with nearest-neighbour XXZ interaction and a competing three-spin interaction involving nearest and next-nearest neighbours is…

Half-filled Hubbard model at low temperature

- Physics
- 1977

The ground-state energy E and momentum distribution nk of the electrons are expanded from the atomic limit for the half-filled Hubbard model. The coefficients of expansion are represented by the spin…

Incommensurate phases of quantum one-dimensional magnetics.

- Physics, MedicinePhysical review. B, Condensed matter
- 1990

It is proved that the incommensurability of lattice models of integrable quantum magnetics with competing interactions is closely related with the phenomenon of level crossing.

Thermodynamics of a One‐Dimensional System of Bosons with Repulsive Delta‐Function Interaction

- Physics
- 1969

The equilibrium thermodynamics of a one‐dimensional system of bosons with repulsive delta‐function interaction is shown to be derivable from the solution of a simple integral equation. The excitation…

Quantum Inverse Scattering Method and Correlation Functions

- Physics
- 1993

One-dimensional Bose-gas One-dimensional Heisenberg magnet Massive Thirring model Classical r-matrix Fundamentals of inverse scattering method Algebraic Bethe ansatz Quantum field theory integral…

One-dimensional anisotropic Heisenberg chain

- Physics
- 1972

Abstract The minimum eigenvalue of the Hamiltonian of an infinitely long one-dimensional anisotropic Heisenberg chain is evaluated.

One-Dimensional Anisotropic Heisenberg Model at Finite Temperatures

- Physics
- 1972

The thermodynamics of the one-dimensional Heisenberg-Ising model for I.JI<1 as well as of the X-Y-Z model is reduced to a set of non-linear integral equations under some plausible assumptions. It is…

Thermodynamics of the Heisenberg Ising ring for Delta >= 1

- Physics
- 1971

The thermodynamics of the Heisenberg-Ising ring is reduced to the solution of a system of recurrent nonlinear integral equations.