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Long-range dynamics of magnetic impurities coupled to a two-dimensional Heisenberg antiferromagnet

Andreas Luscher·Oleg P. Sushkov
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Abstract

We consider a two-dimensional Heisenberg antiferromagnet on a square lattice with weakly coupled impurities, i.e. additional spins interacting with the host magnet by a small dimensionless coupling constant g<<1. Using linear spin-wave theory, we find that the magnetization disturbance at distance r from a single impurity behaves as g/r for 1< >1/g. Surprisingly the disturbance is inversely proportional to the coupling constant! The interaction between two impurities separated by a distance r is proportional to g^2/r for 1< >1/g. Hence at large distances, the interaction is universal and independent of the coupling constant. We also find that the frequency of Rabi oscillations between two impurities is proportional to g^2 ln(gr) at 1<<r<<1/g, logarithmically enhanced compared to the spin-wave width. This leads to a new mechanism for NMR, NQR and EPR line broadening. All these astonishing results are due to the gapless spectrum of the magnetic excitations in the quantum antiferromagnet.

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Andreas Luscher, Oleg P. Sushkov. 2004-11-15. Long-range dynamics of magnetic impurities coupled to a two-dimensional Heisenberg antiferromagnet. https://doi.org/10.1103/physrevb.71.064414

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