Low-Lying Excitations in the S=1 Antiferromagnetic Heisenberg Chain

Details Low-Lying Excitations in the S=1 Antiferromagnetic Heisenberg Chain Low-Lying Excitations in the S=1 Antiferromagnetic Heisenberg Chain

1997-08-26

arxiv.org/abs/cond-mat/9708197v1

Physics

Condensed Matter

Statistical Mechanics

11 pages, 6 Postscript figures, RevTex (to appear in Phys. Lett. A)

Scientific paper

10.1016/S0375-9601(97)00662-2

In order to confirm the picture of domain-wall excitations in the hidden antiferromagnetic order of the Haldane phase, the structure of the low-lying excitations in the S=1 antiferromagnetic Heisenberg chain is studied by a quantum Monte Carlo method. It is confirmed that there exists a finite energy gap between the first- and the second-excited states at $k=\pi$ as well as between the ground state and the first-excited state at $k=\pi$. In the thermodynamic limit, the second-excited state at $k=\pi$ is separated from the ground state by the gap which is three times as large as the Haldane gap. From the size dependences of the low-lying-excitation energies, the interactions between the elementary excitations in the excited states are concluded to be repulsive.

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