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

Physics – Condensed Matter – Disordered Systems and Neural Networks

Scientific paper

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(v2) Major improvements in presentation style. One figure added (v3) Another minor change

Scientific paper

10.1103/PhysRevLett.88.186402

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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