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Low-frequency dynamics of disordered XY spin chains and pinned density waves: from localized spin waves to soliton tunneling

Michael M. Fogler
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Abstract

A long-standing problem of the low-energy dynamics of a disordered XY spin chain is re-examined. The case of a rigid chain is studied where the quantum effects can be treated quasiclassically. It is shown that as the frequency decreases, the relevant excitations change from localized spin waves to two-level systems to soliton-antisoliton pairs. The linear-response correlation functions are calculated. The results apply to other periodic glassy systems such as pinned density waves, planar vortex lattices, stripes, and disordered Luttinger liquids.

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Michael M. Fogler. 2002-03-27. Low-frequency dynamics of disordered XY spin chains and pinned density waves: from localized spin waves to soliton tunneling. https://doi.org/10.1103/physrevlett.88.186402

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