The spectrum of the continuous isotropic quantum Heisenberg chain: quantum solitons as magnon bound states
- 30 March 1980
- journal article
- Published by IOP Publishing in Journal of Physics C: Solid State Physics
- Vol. 13 (9) , L195-L200
- https://doi.org/10.1088/0022-3719/13/9/005
Abstract
The continuous Heisenberg chain is quantised semiclassically. The spectrum consists of unit spin bosons (magnons) and integer spin bosons (solitons) with dispersion laws E=JS(ka)2 and En=16JS3 sin2(ka/4S)/n (n=1...) respectively. It is proposed that the n=1 soliton is the magnon and that the spectrum is exact, including all quantum corrections. For S=1/2 the spectrum agrees with results for the discrete chain and it is inferred that the soliton is a multi-magnon bound state.Keywords
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