Abstract
Two-magnon bound states are exact eigenstates of the Heisenberg ferromagnet whose energy falls outside the two-magnon continuum. The well-grounded expectation that at least one bound state exists for any wave vector in 2D Heisenberg ferromagnets seems to be violated when numerical calculations are performed in the triangular lattice In contrast the authors show analytically that such a result is a spurious consequence of the numerical computation and they are able to prove that a bound state exists below the two-magnon band for all wave vectors in the triangular ferromagnet.
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