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Effective spin-wave action for ordered Heisenberg antiferromagnets in a magnetic field | | Nils Hasselmann
; Florian Schuetz
; Ivan Spremo
; Peter Kopietz
; | | Date: |
29 Nov 2005 | | Subject: | Strongly Correlated Electrons | | Abstract: | We derive the effective long-wavelength Euclidean action for the antiferromagnetic spin-waves of ordered quantum antiferromagnets subject to a uniform magnetic field. We point out that the magnetic field dependence of the spin-wave dispersion predicted by the usual O(3)-quantum nonlinear sigma model disagrees with spin-wave theory. We argue that the nonlinear sigma model does not take into account all relevant spin-wave interactions and derive a modified effective action for the long-wavelength spin-waves which contains an additional quartic interaction. At zero temperature the corresponding vertex is relevant in the renormalization group sense below three dimensions. | | Source: | arXiv, cond-mat/0511706 | | Services: | Forum | Review | PDF | Favorites | |
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