Non Self-conjugate Strings, Singular Strings and Rigged Configurations in the Heisenberg Model
High Energy Physics - Theory
2015-02-12 v3 Strongly Correlated Electrons
Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Abstract
We observe a different type of complex solutions in the isotropic spin-1/2 Heisenberg chain starting from N=12, where the central rapidity of some of the odd-length strings becomes complex making not all the strings self-conjugate individually. We show that there are at most (N-2)/2 singular solutions for M=4, M=5 down-spins and at most (N^2-6N+8)/8 singular solutions for M=6, M=7 down-spins in an even-length chain with N \geq 2M. Correspondence of the non self-conjugate string solutions and the singular string solutions to the rigged configurations has also been shown.
Keywords
Cite
@article{arxiv.1408.7030,
title = {Non Self-conjugate Strings, Singular Strings and Rigged Configurations in the Heisenberg Model},
author = {Tetsuo Deguchi and Pulak Ranjan Giri},
journal= {arXiv preprint arXiv:1408.7030},
year = {2015}
}
Comments
17 pages, 3 figures, published version