Internal parity symmetry and degeneracy of Bethe Ansatz strings in the isotropic heptagonal magnetic ring

Autor: Milewski, Jan, Lulek, Barbara, Lulek, Tadeusz, Labuz, Miroslaw, Stagraczynski, Ryszard
Rok vydání: 2014
Předmět:
Zdroj: Physica B 434, 14-20, 2014
Druh dokumentu: Working Paper
DOI: 10.1016/j.physb.2013.10.041
Popis: The exact Bethe eigenfunctions for the heptagonal ring within the isotropic XXX model exhibit a doubly degenerated energy level in the three-deviation sector at the centre of the Brillouin zone. We demonstrate an explicit construction of these eigenfunctions by use of algebraic Bethe Ansatz, and point out a relation of degeneracy to parity conservation, applied to the configuration of strings for these eigenfunctions. Namely, the internal structure of the eigenfunctions (the 2-string and the 1-string, with opposite quasimomenta) admits generation of two mutually orthogonal eigenfunctions due to the fact that the strings which differ by their length are distinguishable objects.
Databáze: arXiv