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Low-Lying Excitations in the S=1 Antiferromagnetic Heisenberg Chain | | Shoji Yamamoto
; Seiji Miyashita
; | | Date: |
26 Aug 1997 | | Subject: | Statistical Mechanics | cond-mat.stat-mech | | Abstract: | 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. | | Source: | arXiv, cond-mat/9708197 | | Services: | Forum | Review | PDF | Favorites | |
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