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Excitation Spectrum of One‐Dimensional Spin‐1 Antiferromagnetic Heisenberg Chain: Green's Function Approach
Author(s) -
Wesselinowa J. M.
Publication year - 1998
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/(sici)1521-3951(199804)206:2<805::aid-pssb805>3.0.co;2-n
Subject(s) - antiferromagnetism , excitation , isotropy , chain (unit) , physics , heisenberg model , spin (aerodynamics) , spectrum (functional analysis) , condensed matter physics , dispersion (optics) , function (biology) , spin wave , quantum mechanics , ferromagnetism , evolutionary biology , biology , thermodynamics
The one‐dimensional spin‐1 Heisenberg antiferromagnetic chain is studied by a Green's function technique. The excitation spectrum is obtained. The dispersion of excitations for an infinite isotropic chain is numerically calculated. At k = 0 we obtain a gap 2Δ which is equal to 0.826 J and at k = π we obtain Δ = 0.41 J , which is in very good agreement with the exact numerical results of White and Huse.