{ "id": "cond-mat/9708197", "version": "v1", "published": "1997-08-26T06:12:59.000Z", "updated": "1997-08-26T06:12:59.000Z", "title": "Low-Lying Excitations in the S=1 Antiferromagnetic Heisenberg Chain", "authors": [ "Shoji Yamamoto", "Seiji Miyashita" ], "comment": "11 pages, 6 Postscript figures, RevTex (to appear in Phys. Lett. A)", "doi": "10.1016/S0375-9601(97)00662-2", "categories": [ "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.", "revisions": [ { "version": "v1", "updated": "1997-08-26T06:12:59.000Z" } ], "analyses": { "keywords": [ "antiferromagnetic heisenberg chain", "low-lying excitations", "ground state", "quantum monte carlo method", "finite energy gap" ], "tags": [ "journal article" ], "note": { "typesetting": "RevTeX", "pages": 11, "language": "en", "license": "arXiv", "status": "editable" } } }