Alternating Linear Heisenberg Antiferromagnet: The Exciton Limit
- 1 April 1973
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 7 (7), 3166-3187
- https://doi.org/10.1103/physrevb.7.3166
Abstract
The one-dimensional alternating antiferromagnet with is studied for . For the susceptibility is expanded in powers of the exciton density as and the coefficients and are calculated for . The calculation of required the evaluation of the two-exciton scattering matrix. The interactions between excitons which affect the susceptibility are found to be repulsive. As a result, the coefficient is correctly predicted by the usual assumption that excitons obey localized statistics. A general discussion relating statistics to the on-shell forward-scattering matrix enables one to understand the difference between the statistical properties of spin waves and excitons. For opposite-spin excitons an attractive bound state is found to exist for all values of total momentum. Perturbation theory in is used to calculate the single-exciton dispersion relation at zero temperature as .
Keywords
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