Physics NotePublished
Algebraic Bethe Ansatz for a Spin-1/2 Quantum Linear Chain with Competing Interactions
Marco Aurélio do Rego Monteiro
2000
Publication details
- Authors
- Marco Aurélio do Rego Monteiro
- Type
- Physics Note
- Status
- Published
- Publication date
- 2000
- Description
- We propose a generalization of the formula that gives an integrable quantum one-dimensional spin Hamiltonian with nearest-neighbor interactions as a logarithmic derivative of a vertex model transfer matrix in order to include in this scheme more realistic integrable models. We compute exactly this generalized formula using the R-matrix of the XXX-model obtaining the Majumdar-Ghosh Hamiltonian plus a charge-like interaction term. We diagonalize this Hamiltonian using the Quantum Inverse Scattering Method and present the Bethe ansatz equations of the model.
- Year
- 2000
- Number
- CBPF-N-070/00
- Linked to a thesis
- No
- Linked to a grant
- No