Large N behavior of string solutions in the Heisenberg model

Details Large N behavior of string solutions in the Heisenberg model Large N behavior of string solutions in the Heisenberg model

2002-07-04

arxiv.org/abs/cond-mat/0207117v1

Physics

Condensed Matter

19 pages, 5 figures

Scientific paper

10.1088/0305-4470/36/6/302

We investigate the large $N$ behavior of the complex solutions for the two magnon system in the S=1/2 Heisenberg XXZ model. The Bethe ansatz equations are numerically solved for the string solutions with new iteration method. A clear evidence of the violation of the string configurations is found at $N=22,62,121,200,299,417$, but the broken states are still Bethe states. The number of the Bethe states is consistent with the exact diagonalization, except one singular state.

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