The Non-Perturbative Quantum Nature of the Dislocation-Phonon   Interaction
  Despite the long history of dislocation-phonon interaction studies, there are many problems that have not been fully resolved during this development. These include an incompatibility between a perturbative approach and the long-range nature of a dislocation, the relation between static and dynamic scattering, and the nature of dislocation-phonon resonance. Here by introducing a fully quantized dislocation field, the "dislon"[1], a phonon is renormalized as a quasi-phonon, with shifted quasi-phonon energy, and accompanied by a finite quasi-phonon lifetime that is reducible to classical results. A series of outstanding legacy issues including those above can be directly explained within this unified phonon renormalization approach. In particular, a renormalized phonon naturally resolves the decades-long debate between dynamic and static dislocation-phonon scattering approaches. 
Mingda Li, Zhiwei Ding, Qingping Meng, Jiawei Zhou, Yimei Zhu, Hong   Liu, Mildred S. Dresselhaus and Gang Chen
cond-mat.mtrl-sci