Abstract
We investigate the nature of one-magnon excitations in disordered quantum Heisenberg ferromagnetic chains with long-range interactions. The exchange coupling between a given pair of sites ( i, j) is considered to be randomly distributed with asymptotic power-law decaying variance Δ J∝1/| i− j| α . By employing an exact diagonalization procedure on finite chains, we compute the density of states, the localization length and associated fluctuations of all one-magnon eigenstates within the band of allowed energies E. We observe that for α>2 the behavior is the same one typical of disordered ferromagnetic chains with short-range interactions with all eigenstates with finite energy being exponentially localized. Delocalized one-magnon states of finite energy emerges for slowly decaying interactions.
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