One-magnon excitations in Heisenberg ferromagnetic chains with power-law decaying random interactions

R.P.A. Lima and M.L. Lyra

Physica A: Statistical Mechanics and its Applications, 2003, vol. 320, issue C, 398-406

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 ΔJ∝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.

Keywords: Magnon states; Anderson transition; Long-range interactions (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:320:y:2003:i:c:p:398-406

DOI: 10.1016/S0378-4371(02)01599-6

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