Thermodynamical limit of general gl(N) spin chains II: Excited states and energies

Nicolas Crampé, L. Frappat, E. Ragoucy

Published Jan 1, 2008• 0 citations

Abstract

We consider the thermodynamical limit of a gl(N) spin chain with arbitrary representation at each site of the chain. We consider excitations (with holes and new strings) above the vacuum and compute their corrections in 1/L to the densities and the energy.

Related papers

The thermodynamical limit of generalgl(N) spin chains: II. Excited states and energies

Nicolas Crampé, L. Frappat, E. Ragoucy

We consider the thermodynamical limit of a gl ( N ) spin chain with arbitrary representation at each site of the chain. We study the first excitations (with holes and new strings) above the vacuum and compute the corresponding densities of the Bethe roots as well as their energy.

arXiv:0710.5904Journal of Statistical Mechanics Theory and ExperimentJan 18, 20082 citations

Thermodynamical limit of general gl(N) spin chains: vacuum state and densities

Nicolas Crampé, L. Frappat, E. Ragoucy

We study the vacuum state of spin chains where each site carry an arbitrary representation. We prove that the string hypothesis, usually used to solve the Bethe ansatz equations, is valid for representations characterized by rectangular Young tableaux. In these cases, we obtain the density of the center of the strings for the vacuum. We work out different examples and, in particular, the spin chains with periodic array of impurities.

Jan 1, 20050 citations

The thermodynamical limit of generalgl(N) spin chains: the vacuum state and densities

Nicolas Crampé, L. Frappat, E. Ragoucy

We study the vacuum state of spin chains where each site carries an arbitrary representation. We prove that the string hypothesis usually used to solve the Bethe ansatz equations is valid for representations characterized by rectangular Young tableaux. In these cases, we obtain the density of the centre of the strings for the vacuum. We work through different examples and, in particular, that for spin chains with a periodic array of impurities.

arXiv:cond-mat/0701207Journal of Statistical Mechanics Theory and ExperimentMar 28, 20074 citations

Excitations and S-matrix for su(3) spin chain combining {3} and {3 ∗ } representations

J. Abad, M. Ríos

The associated Hamiltonian for a su(3) spin chain combining {3} and {3 ∗ } representations is calculated. The ansatz equations for this chain are obtained and solved in the thermodynamic limit, and the ground state and excitations are described. Thus, relations between the number of roots and the number of holes in each level have been found. The excited states are characterized by means of these quantum numbers. Finally, the exact S matrix for a state with two holes is found. PACS

Jan 1, 19982 citations

Excitations and theS-matrix for ansu(3)spin chain combining and representations

J Abad, M Ríos

The associated Hamiltonian for an su (3) spin chain combining and representations is calculated. The ansatz equations for this chain are obtained and solved in the thermodynamic limit, and the ground state and excitations are described. Thus, relations between the number of roots and the number of holes in each level have been found. The excited states are characterized by means of these quantum numbers. Finally, the exact S -matrix for a state with two holes is found.

arXiv:cond-mat/9801129Journal of Physics A Mathematical and GeneralMar 13, 19980 citations

Open Perturbatively Long-Range Integrable GL(N) Spin Chains

Niklas Beisert, Florian Loebbert

We construct the most general perturbatively long-range integrable spin chain with spins transforming in the fundamental representation of gl(N) and open boundary conditions. In addition to the previously determined bulk moduli we find a new set of parameters determining the reflection phase shift. We also consider finite-size contributions and comment on their determination.

arXiv:0805.3260Advanced Science LettersJun 1, 200916 citations