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. 
LETTER TO THE EDITOR: The phase diagram of an exactly solvable t-J ladder model
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
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
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)
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
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
Boundary defect in a spin ladder
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
...
1
2
3
...

References

SHOWING 1-9 OF 9 REFERENCES
Integrable spin-1/2 XXZ Heisenberg chain with competing interactions
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
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.
  • Tsvelik
  • Physics, Materials Science
    Physical review. B, Condensed matter
  • 1990
TLDR
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
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
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 Model at Finite Temperatures
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
The thermodynamics of the Heisenberg-Ising ring is reduced to the solution of a system of recurrent nonlinear integral equations.