Disordered Boson Systems: A Perturbative Study

Details Disordered Boson Systems: A Perturbative Study Disordered Boson Systems: A Perturbative Study

1993-04-08

arxiv.org/abs/cond-mat/9304016v1

Physics

Condensed Matter

27 pages, revtex

Scientific paper

10.1103/PhysRevB.47.14364

A hard-core disordered boson system is mapped onto a quantum spin 1/2 XY-model with transverse random fields. It is then generalized to a system of spins with an arbitrary magnitude S and studied through a 1/S expansion. The first order 1/S expansion corresponds to a spin-wave theory. The effect of weak disorder is studied perturbatively within such a first order 1/S scheme. We compute the reduction of the speed of sound and the life time of the Bloch phonons in the regime of weak disorder. Generalizations of the present study to the strong disordered regime are discussed.

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