The three-spin deviation problem for the Heisenberg Hamiltonian is attacked by the Faddeev technique. The fact that the two-particle $t$ matrix is separable facilitates the solution. In one dimension, the resulting equation can be numerically solved to obtain the eigenvalue. In two and three dimensions, integral equations in one vector variable appear, but no progress has so far been made towards their solution.The three-spin deviation problem for the Heisenberg Hamiltonian is attacked by the Faddeev technique. The fact that the two-particle $t$ matrix is separable facilitates the solution. In one dimension, the resulting equation can be numerically solved to obtain the eigenvalue. In two and three dimensions, integral equations in one vector variable appear, but no progress has so far been made towards their solution.

Physical review. B, Solid stateJan 1, 197025 citations

Application of the Modified Bloch Equation to the Low-Temperature Behavior of the Heisenberg Ferromagnet

Tomoyasu Tanaka, K. Moorjani, Tohru Morita

An equation for the normalized density matrix $\ensuremath{\rho}$ is given by $\ensuremath{-}\frac{\ensuremath{\partial}\ensuremath{\rho}}{\ensuremath{\partial}\ensuremath{\beta}}={(\mathcal{H}\ensuremath{-}〈\mathcal{H}〉)}_{\ensuremath{\rho}}$. The equation can be used to obtain a hierarchy of equations for the reduced density matrices as well as that for average values of dynamical quantities. In the present paper the latter set of equations is used to study the low-temperature behavior of the Heisenberg ferromagnet.An equation for the normalized density matrix $\ensuremath{\rho}$ is given by $\ensuremath{-}\frac{\ensuremath{\partial}\ensuremath{\rho}}{\ensuremath{\partial}\ensuremath{\beta}}={(\mathcal{H}\ensuremath{-}〈\mathcal{H}〉)}_{\ensuremath{\rho}}$. The equation can be used to obtain a hierarchy of equations for the reduced density matrices as well as that for average values of dynamical quantities. In the present paper the latter set of equations is used to study the low-temperature behavior of the Heisenberg ferromagnet.

Physical ReviewJan 7, 19661 citation

On the two-dimensional, spin- Heisenberg ferromagnetic models

George Allen Baker Jr., H.E. Gilbert, Jemimah K. Eve +1 more

Physics Letters AAug 1, 1967131 citations

The 2d/3D Classical Heisenberg Ferromagnet

Robert Goodell Brown, Mikael Ciftan

Springer proceedings in physicsJan 1, 19933 citations

The three-spin deviation problem for the Heisenberg Hamiltonian is attacked by the Faddeev technique. The fact that the two-particle

t

matrix is separable facilitates the solution. In one dimension, the resulting equation can be numerically solved to obtain the eigenvalue. In two and three dimensions, integral equations in one vector variable appear, but no progress has so far been made towards their solution.