Heisenberg model and Rigged Configurations
arXiv:1501.07801 · doi:10.1088/1742-5468/2015/07/P07007
Abstract
We show a correspondence of all the solutions of the spin-1/2 isotropic Heisenberg model for N=12 to the rigged configurations based on the comparison of the set of Takahashi quantum numbers in lexicographical order with the set of riggings of the rigged configurations in co-lexicographical order.
arXiv comment95 pages, 29 multi-page tables, no figure
References in corpus (13)
- Quantum Inverse Scattering Method and Correlation Functions
- Stringing Spins and Spinning Strings
- Computation of dynamical correlation functions of Heisenberg chains in a field
- Bethe's equation is incomplete for the XXZ model at roots of unity
- On the completeness of solutions of Bethe's equations
- Deformed strings in the Heisenberg model
- A Spin Chain Primer
- Violation of the string hypothesis and Heisenberg XXZ spin chain
- Large N behavior of string solutions in the Heisenberg model
- Violations of the String Hypothesis in the Solutions of the Bethe Ansatz Equations in the XXX-Heisenberg
- Singular Solutions to the Bethe Ansatz Equations and Rigged Configurations
- Non Self-conjugate Strings, Singular Strings and Rigged Configurations in the Heisenberg Model
- Non-regular eigenstate of the XXX model as some limit of the Bethe state